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Magazine (Pacific Institute for the Mathematical Sciences) : vol. 9, issue 1, Fall 2005 Pacific Institute for the Mathematical Sciences 2005

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PIMS Magazine    Vol. 9 Issue 1   Fall 2005Alberta, US, and Mexican Governments to Give FullFunding for the Banff International Research StationThree months after a thorough international review of the Banff International Research Station (BIRS), the Albertagovernment—at the recommendation of the Alberta Science Research Agency (ASRA)—has pledged $CAD 3,424,000in support of the scientific activities of BIRS for a period of five years starting in 2006 (see page 4 for the officialaward letter from Minister Victor Doerksen).  This decision came at the heels of a recommendation by the Divisionof the Mathematical Sciences (DMS) of the National Science Foundation for the full funding ($US 2,641,500) ofBIRS for the next 5 years, coupled with a pledgeof $CAD 550,000 from Mexico’s CONACYT for this groundbreaking North Ameri-can collaboration.  In addition, the Universidad Nacional Autónoma de Mexico(UNAM) has committed substantial funds to support Mexican participants inBIRS activities.NSERC’s decision however, has been regrettably delayed until April 2006.  Inview of this delay, the NSERC executive has extended the old BIRS grant by oneyear.  This delay is due to a serious restructuring that is currently under consider-ation within NSERC’s Research Grants Programme.  The current Major FacilitiesAccess (MFA) envelope is in the process of being redesigned to reflect majorinternational collaborative initiatives such as BIRS.  As of the day of writing this,we are still awaiting the new criteria/guidelines affecting such a programme andconsequently the funding decision for BIRS.Rustum ChoksiNew SFU Site DirectorRustum Choksi became the new PIMS Site Di-rector at Simon Fraser University on Septem-ber 1, 2005.Rustum Choksi is an Associate Professor of Ap-plied and Computational Mathematics in the De-partment of Mathematics at SFU.Dr. Choksi received his PhD from Brown Uni-versity in 1994.  Heheld postdoctoralpositions at theCourant Institute,1995–97, and theCenter for Nonlin-ear Analysis atCarnegie-MellonUniversity, 1994–95.Rustum Choksi, SFU.Continued on the back page.PIMS CollaborativeResearch Groups:New and OngoingPlease see pages 16–20.Inside this IssueDirector’s Notes 2Call for PIMS Scientific Proposals 2BIRS Hosts Heads of G8 Research Councils 4Mexico: A Full Partner in BIRS 4An Interview with Brian Russell 5PIMS’ Position on Women and Mathematics 6Call for Proposals for BIRS 2007 Programme 6PIMS PDFs 7Women in Science by Barbara Lee Keyfitz 8Computation at the Heart of Mathematics 9–10PIMS Scientific Programmes 12–15Collaborative Research Groups 16–20BIRS 2006 Calendar 21Renaissance Banff 22Other BIRS News 23PIMS Industrial Programmes 24–26MITACS News 26PIMS Education Programmes 27–31PIMS Fund Drive 2005 32University of Regina,Now a PIMS AffiliateWe are pleased to announce that theUniversity of Regina is joining PIMSas an affiliated institution.  The con-tact person for PIMS at the Univer-sity of Regina is Shaun Fallat.  He is anAssociate Professor in the Departmentof Mathematics and Statist ics.Katherine Bergman, Dean of Science,is the University of Regina represen-tative who will be at PIMS Board meet-ings as an observer.Continued onpage 7.In June 2005Brian Russell(Vice President,Veritas DGC Inc,Calgary) becamethe new Chair ofthe PIMS Boardof Directors.To read aninterview withBrian turn topage 5.Continuted on page 3.New Chair of the PIMS Board of DirectorsVol. 9, Issue 12Director’s NotesCall for Scientific Proposals in the Mathematical SciencesPIMS now welcomes applications for support for conferences, workshops, seminars and related activities in the Mathematical Sciences,to occur after April 1, 2006.  PIMS also invites scientists of PIMS universities to submit letters of intent for a Period of Concentrationof a PIMS Collaborative Research Group.The deadline for applications is September 30, 2005. The results will be announced by January 31, 2006.For more information please see: http://www.pims.math.ca/Scientific_Programme/Call_for_Proposals/.Ivar Ekeland, PIMS Director, andAlejandro Adem, PIMS Deputy Director.We all know how important BIRS has been tothe Canadian mathematical community.  This iswhy PIMS has put a major effort into the BIRSrenewal—writing a new proposal and preparingthe site visit. This effort has met with the strongsupport of the Canadian and US scientific com-munity, and also, for the first time, the Mexicanscientific community.  As I write, it appears thatBIRS will be getting the full funding we requestedfrom ASRA, NSF, and CONACYT in Mexico,the NSERC part still being under discussion.Such success would not have been possible with-out the commitment and leadership of NassifGhoussoub, the Scientific Director of BIRS,David Eisenbud, the Director of MSRI, JoséAntonio de la Peña, the Director of the Math-ematics Institute at Universidad NacionalAutónoma de Mexico (UNAM), and ArvindGupta, the Scientific Director of MITACS.  Wealso owe a great deal to the vision and leadershipof the Alberta government, who have recognizedthe strategic importance of BIRS, and who havebeen steadfast supporters of PIMS from the veryearly days.  This means that, right through to2010, Banff will continue to attract the best sci-entists in the world, and that the mathematicalcommunity will continue to benefit from theirpresence.PIMS has seized the opportunity to developworking ties with UNAM.  PASI 2005 inSantiago gave us the opportunity to developsimilar ties with CMM, the Center of Math-ematical Modelling at the University de Chile.A delegation from CMM visited PIMS last May,and already in 2005 two workshops have beenorganized to explore topics of common interestin pure and applied mathematics.  A PIMS/UNAM summer school in algebra will take placeat BIRS next July.  Our vision is to launch Inter-national Collaborative Research groups withCMM and UNAM, to start next year, and todevelop them into a network encompassing allof Latin America.  The PIMS community wouldbenefit from the specialized expertise and in-dustrial connections of UNAM and CMM, andfrom an influx of graduate students from LatinAmerica.You will also notice that PIMS and MSRI arelaunching a Pacific Rim initiative by conveningin Banff the directors of the leading mathemati-cal institutes of the region.  The responses wehave had have been enthusiastic, which indicatesthere is a clear desire for scientific cooperationbetween our institutions.Indeed challenges are now global in science asin economics and politics, and the solutions haveto be sought globally.  There is a great need formore science and more scientifically literatepeople around the world.There is no science without mathematics.  Wecannot afford to let interest for science and math-ematics slip in our society, nor to write off largesegments of our population as being less proneto scientific education.  On the contrary, as Bar-bara Keyfitz so aptly says later in this newslet-ter, we need to bring into science people from asmany origins as possible, because we are facinga greater variety of problems than in the past,and we need more imagination to tackle them.Certainly, mathematics has changed tremen-dously since I began working in the field, and sohave the applications which used to be limitedto engineering and now stretch to biology, fi-nance, and beyond.  I feel it is also much morefun and exciting to do mathematics now.We should be able to convey this sense of funand excitement to society at large, particularlythe younger generation.  Traditionally PIMS hasbeen very good at that.  Our outreach and educa-tion activities, such as Pi in the Sky, GIMMCand IPSW, Math Fairs, ELMACON and MathMania continue to be huge successes.  In addi-tion, PIMS has been encouraged by the BC gov-ernment to launch an education initiative towardsFirst Nations communities.  Preliminary con-tact has been established, and we also expect tobenefit from the experience of the University ofRegina.  The university has already collaboratedwith First Nations communities.Which brings me to my next  piece of news.  Iam pleased to welcome our newest affiliate, theUniversity of Regina, to the PIMS community.This year and next see the start of five newPeriods of Concentration of PIMS Collabora-tive Research Groups.  Five other CRGs arewinding down their activities, and I am very grate-ful to everyone involved for making thisprogramme so successful and varied.I would like to conclude with a word ofthanks, and a challenge.  The word of thanksgoes to Michael Boorman, who is retiring fromthe PIMS Board and from academic life.  He hasbeen an outstanding chair of the board, alwaysready with advice and support, and an excellentfriend in times of need.  The challenge goes tothe PIMS community.  PIMS is a collective ef-fort.  In a few years, it has established itself atthe forefront of the international mathematicalscene.  The success of BIRS, for instance, and ofthe Vancouver bid for ICIAM 2011, can be as-cribed to the strong scientific presence of PIMS.But this is a very competitive world, and newpowers are emerging especially in science.  Notonly do we want to maintain our position butalso to take on the challenges of growth and ex-pansion with the many international opportuni-ties that we are creating.  To realize this we mustcontinue to be strong, and this ultimately relieson the will of the individual PIMS scientists.  Ichallenge the PIMS community to put forwardscientific proposals that reflect the enthusiamand innovative spirit of our community.Ivar Ekeland, PIMS DirectorFall 2005 3The PIMS Board of Directors has submitted a letter asking NSERC’sCouncil to consider the initiation of, and investment in, a functional andproactive international department at NSERC that effectively promotes for-eign research investments in Canada and which seriously assists Canadianresearchers in their collaborations with other countries.  We have also askedfor the prompt structuring of a new NSERC programme/envelope that dealswith truly collaborative international projects such as BIRS—one that isflexible enough to react to international partnerships and to adapt appropri-ately to other countries timetables, evaluation procedures and their willing-ness to invest in scientific research on Canadian soil.The Next Phase of BIRS: Highlights ofthe Changes• Expand the North American partnership by involving the Mexican mathemati-cal community in the scientific management of BIRS and in its operations.• Increase the BIRS opportunities by extending the programme from 40 weeks in2005, to 44 weeks in 2006 and to 48 weeks per year beginning in 2007.• Coordinate a global effort to secure travel support to the station for its invitedparticipants.• Strengthen BIRS’ commitment to Women in Mathematics and otherunderrepresented groups by providing continued support to their initiatives andtheir organizations.• Intensify the involvement of BIRS in K–12 education, including teachertraining.• Improve the dissemination of all research and educational material devel-oped at BIRS.• Develop a more robust evaluation and assessment system for the impact ofBIRS.In terms of the scientific management of the station, the following changeshave been implemented in conjunction with the recommendations of thejoint site visit panel by the four funding agencies.• All programmes will be reviewed and adjudicated by the BIRS Scientific Advi-sory Board (SAB).  This body is the only one given the authority to accept orreject proposals for scientific activities, be it workshops, summer schools or hottopics.  The Programme Committee will consist of 10 members of the SAB.  Itwill stress scientific excellence while seeking to ensure the adequate representa-tion of all areas of the mathematical sciences, as well as an appropriate geographicbalance among organizers.• The Executive Committee consisting of the directors of PIMS, MSRI, MITACSand UNAM will form a separate body dealing with issues pertaining to manage-ment.  The Scientific Director of BIRS will be the liaison between this committeeand the SAB.  No institute director will be asked to serve on the BIRS ScientificAdvisory Board.• The requirement to have a Canadian and American organizer for each 5-dayworkshop will be removed.  The competition will be open to all, excellence willbe the primary criterion, seeking to have diversity among the organizers so thata broad spectrum of mathematical sciences will be represented at BIRS.The main goal in implementing the changes above is to ensure the exist-ence of a transparent and uniform governance structure, that will enableBIRS to attract the best proposals from all over the world.Contributed by Nassif Ghoussoub, Scientific Director, BIRSBIRS SITE VISIT: An HistoricCollaborative Multinational EffortRepresentives from four different governments (NSERC, ASRA,CONACYT and the NSF) joined an unprecedented collaborativeeffort to evaluate the scientific merits of BIRS and to decide intandem about the renewal of their funding.  This culminated in a sitevisit to BIRS on March 21, 2005 by a committee of experts repre-senting the four agencies.  The scientific community came out instrength to support the station as a unique international resource.More than 500 letters of testimonials in support of BIRS werereceived from all over the world (see http://www.pims.math.ca/birs/publications/BIRS_testimonials_8-Mar-2005.pdf).  We are par-ticularly grateful to the following academic and scientific leaders whoactively participated in making the case for BIRS at the site visit:Alejandro Adem (Deputy Director, PIMS)Shelley Alvarado (Managing Director, BIRS)Don Brooks (Associate VP Research, UBC)Hermann Brunner (AARMS Director, Memorial U.)David Brydges (Canada Research Chair in Math Physics, UBC)James Carlson (President, Clay Institute)José Antonio de la Peña (Director, Mathematics Institute, UNAM)Eddy Campbell (Provost, Memorial U. and CMS President)Bob Church (Chair Emeritus, ASRA)Rene Drucker Colin (VP Research, UNAM, Mexico)Ivar Ekeland (Director, PIMS)David Eisenbud (Director, MSRI)Nassif Ghoussoub (Scientific Director, BIRS)Isidoro Gitler (Head, CINVESTAV, Mexico)Randy Goebel (ICORE Director, U. Calgary)Mark Green (Director, IPAM)Arvind Gupta (Scientific Director, MITACS)Helmut Hofer (Professor of Mathematics, Courant Institute, NYU)Mary Hofstetter (President and CEO, The Banff Centre)Ron Irving (Dean of Natural Sciences, U. Washington)Ken Jackson (President, CAIMS)Gary Kachanoski (VP Research, U. Alberta)John Kenna (CEO, Ballard Power Systems)Maria Klawe (Dean, Princeton)Rachel Kuske (Associate Professor of Mathematics, UBC)François Lalonde (Director, CRM)Barbara Lee Keyfitz (Director, Fields Institute)Mark Lewis (Canada Research Chair in Math Biology, U. Alberta)Robert Miura (Professor of Mathematical Sciences and of Bio-medical Engineering, NJIT)Charles Newman (Director, Courant Institute, NYU)Michael Plischke (Dean of Science, SFU)Keith Promislow (Associate Professor of Mathematics, MichiganState U.)Nancy Reid (President, SSC, U. Toronto)Dennis R. Salahub (VP Research, U. Calgary)Martin Taylor (VP Research, U. Victoria)Selim Tuncel (Chair, Mathematics Department, U. Washington)Alberta, US, and Mexican Governments to Give Full Funding for BIRS,continued from the cover page.Vol. 9, Issue 14BIRS hosts Heads of G8 ResearchCouncilsContributed by NassifGhoussoub, ScientificDirector, BIRSOn May 16, 2005, the Presi-dent of NSERC, TomBrzustowski and the Presi-dent of the Canadian NRC(National Research Council)Pierre Coulombe hosted a re-ception at BIRS in honourof their counterpart, Headsof the Research Councils in the G8 countries: USA, UK, France, Germany(DFG & Max Planck), Japan, Italy and Russia.Representing the USA was Dr. Arden Bement, the Director of the NationalScience Foundation which is a major sponsor of the Banff International Re-search Station. Also present were Ernst-Ludwig Winnacker for Germany,Fabio Pistella for Italy, Motoyuki Ono for Japan, Vladislav Yu. Khomich forRussia, and John O’Reilly for the UK.The G8 heads of research councils particularly enjoyed meeting their fel-low countrymen among the forty participants in the BIRS workshop DensestPackings of Spheres who were also invited to the reception, a highlight ofwhich was a presentation by Thomas Hales of his solution of the 400 year oldKepler problem.  Particularly entertaining was the magic show of Peter Winklerwho challenged the audience with one of his familiar combinatorial-geometri-cal puzzles.  The G8 heads of research councils were later joined for dinner bythe Scientific Directors of BIRS (Nassif Ghoussoub) and MITACS (ArvindGupta), the Directors of the CRM (François Lalonde), IPAM (Mark Green),MSRI (David Eisenbud) and PIMS (Ivar Ekeland), as well as William Rundell,Director of the Division for the Mathematical Sciences at the NSF.To view The Welcoming Remarks by BIRS Scientific Director, NassifGhoussoub, please consult the link at http://www.pims.math.ca/The_News/Latest_News/BIRS_ hosts_Heads_of_G8_Research_Councils/.Nassif Ghoussoub (Scientific Director, BIRS), TomBrzustowski (President, NSERC), Arden Bement(Director, NSF) and Arvind Gupta (ScientificDirector, MITACS).  Photo by David Eisenbud(MSRI).AlbertaMinister of Innovation and Science402 Legislature BuildingEdmonton, AB T5K 2B6July 7, 2005Dear Dr. Ekeland:In 2004 the Government of Alberta released its visionary blueprint for thefuture entitled “Today’s Opportunities, Tomorrow’s Promise: A StrategicPlan for the Government of Alberta.”  The plan outlined four areas offocus for the next twenty years, one of which is “Unleashing Innovation.”Building the research capacity of this province is critical to unleashing theinnovation that will drive Alberta’s knowledge-based economy.  With thisgoal in mind, the Government of Alberta has been examining the issuesaround building research capacity in the province’s strategic priority areasof energy, life sciences and information and communications technology.In March 2005, Alberta Innovation and Science, in collaboration with theNatural Sciences and Engineering Research Council and the National Sci-ence Foundation, conducted a site visit of the Banff International Re-search Station (BIRS).  The site visit committee assessed BIRS’ achieve-ments, future plans, and request for renewal support.  The positive resultof the site visit committee’s assessment was a primary consideration forInnovation and Science, as the review confirmed that renewal of the BIRSinitiative strongly aligns with our focus on building and sustaining re-search capacity in areas of strategic priority.  The review of past achieve-ments also attests to the successes that resulted from Alberta’s initialinvestment in the BIRS initiative.In light of these points, it is my pleasure to announce that the BanffInternational Research Station will receive $3,325,000 between 2006 and2010 to facilitate BIRS’ future operational plans and activities.  The BIRSinitiative promises to continue being a significant factor in building excel-lent research capacity in Alberta.I want to take this opportunity to congratulate the Pacific Institute for theMathematical Sciences and its mathematical colleagues on the accom-plishments of BIRS to date and the planned future activities.  The Gov-ernment of Alberta is dedicated to building research excellence in Albertaand we believe that this provincial support for BIRS will be an importantfactor in this regard.Staff from my department will be contacting you regarding the conditionsof funding and related next steps regarding the grant agreement for yourreward.I wish you and your BIRS’ colleagues success with this important initia-tive.Yours truly,Victor Doerksen, F.C.G.A.Mexico: A Full Partner in BIRSContributed by Nassif Ghoussoub, Scientific Director, BIRSIt is a great pleasure to announce that CONACYT (National Council forScience and Technology of Mexico) is joining Canada’s NSERC, the US Na-tional Science Foundation, and the Alberta Science Research Authority insponsoring and funding the Banff International Research Station (BIRS) mak-ing it a truly North American collaborative project.We welcome Dr. Jose Antonio de la Peña (Director of the Instituto deMatematicas at UNAM and former President of the Mexican Academy ofSciences) to the scientific leadership of BIRS. His role in arranging, coordinat-ing, and participating in the visit of Ivar Ekeland (PIMS Director), ArvindGupta (MITACS Scientific Director) and myself as BIRS Scientific Director,with Mexican scientific leadership, UNAM senior officials and the DirectorGeneral of CONACYT was crucial to the success of this groundbreakinginitiative. Needless to say, we are thrilled by this development as we believeit to be a first step towards a major new era for collaborative research in themathematical sciences in North America.Fall 2005 5An Interview with Brian Russell, New Chair of the PIMS Board of DirectorsDr. Russell, please tell us about your career andyour relationship with mathematics.I received my first degree in physics from the Uni-versity of Saskatchewan in 1972, and then spenttwo years in Zambia teaching high school physicsand mathematics at Kenneth Kuanda SecondarySchool, under the auspices of CUSO.  When I re-turned to Canada I decided to switch into geo-physics, so I spent another year at the U of Sfinishing an honours course in geophysics.  I thenjoined Chevron in Calgary as a seismic interpreterand spent several years looking for oil and gas inWestern Canada.  I took a leave of absence to com-plete a M.Sc. in geophysics at the University ofDurham in England, and then returned to Chevronand spent several more years doing seismic researchin both Calgary and Houston before joining VeritasSeismic in 1982.  At Veritas, I met Dan Hampson,who was then Manager of Research, and formedwhat was to become a very fruitful technical andbusiness relationship. In 1987, Dan and I left Veritasto form a geophysical software company called(you guessed it!) Hampson-Russell Software Ltd.,which grew from an initial staff of 4 to our currentstaff of over 50. Over the years, Hampson-Russellhas developed a number of seismic inversionprogrammes which have been purchased by virtu-ally every major oil and gas company in the world,and we continue to enhance these programmes anddevelop new ones. In 2002, Hampson-Russell waspurchased by VeritasDGC and we have thereforecome full circle!  Hampson-Russell is still oper-ated as an independent operation withinVeritasDGC, and Dan and I are still fully involvedin day-to-day operations.  Along the way I havebeen very involved with geophysical societies, andhave been President of both the Canadian Societyof Exploration Geophysicists (CSEG) and the in-ternational Society of Exploration Geophysicists(SEG). I also finished my Ph.D. at the Universityof Calgary last year, and have recently been ap-pointed as an Adjunct Professor in the Geologyand Geophysics department at the U of C.Concerning my relationship with mathemat-ics, it has become increasingly clear to me howlucky I was to have taken all those math coursesas a physics undergraduate.  The complexitiesof seismic inversion can only be understood andimplemented on a computer if you have a solidgrasp of applied mathematics.  My Ph.D. thesiswas based on the application of multivariate sta-tistics and neural networks to exploration seis-mology, and this introduced me to several newareas of applied mathematics that I found fasci-nating. Although I have a wide range of interestsoutside of geophysics and mathematics (fromgolf to guitar), I often enjoy cracking open bookssuch as those by Gilbert Strang to help broadenmy knowledge of applied mathematics.When did you first hear about PIMS, and howdid you begin your involvement with PIMS?I first heard about PIMS from Professor GaryMargrave at the University of Calgary.  Basedon my interest in PIMS, Gary submitted myname to the board for consideration and I wasvery pleased to be appointed as an industrymember. I am thoroughly enjoying my time onthe board, both meeting new people and learningabout the many activities that PIMS is involvedwith.How do you view the role of mathematics withinindustry?Mathematics plays a very important role withinindustry.  I find that the deeper your under-standing of the mathematics behind a physicalproblem, the more powerful is the solution tothe problem that you are able to formulate.Many of the programmes that PIMS sponsors,such as the Industrial Problem Solving Work-shop (IPSW), are showing industry how impor-tant the role of mathematics can be in their day-to-day operations. My hope is that the impor-tance of mathematics will continue to grow withinindustry.  And I wish that we could communi-cate this more clearly to the government policymakers.This year you presented a problem at the PIMSIPSW.  In your opinion, what are the benefitsof such an experience?My problem involved the prediction of oil andgas reservoir parameters using seismic data. Iwas also fascinated by the range of other prob-lems that were submitted, from stock marketanalysis through running shoe testing to dino-saur tail mechanics! I think that the studentsalso benefited immensely from this programme,both in their interactions with other studentsfrom around North America and the world, andfrom their discussions with industry represen-tatives.  It was a great experience for everyoneinvolved.How do you view international initiativeswithin the mathematics community?The sharing of ideas within the international com-munity has always been one the most importantaspects of science and mathematics.  The BIRSfacility, which grew out of PIMS, has becomeone of the top venues in the world for the shar-ing of mathematical ideas.  It is my hope that wecontinue to help this facility grow and thrive.PIMS is also looking at developing relationshipswith scientists and mathematicians in both SouthAmerica and the Pacific Rim countries, and Ilook forward to being involved with these initia-tives.Mathematics education is a very important com-ponent of the PIMS mandate.  What are yourthoughts on this critical topic?I am pleased with the initiatives that we havestarted in the area of primary education in math-ematics.  In particular, I feel that the work beingdone by Melania Alvarez-Adem to develop apilot project for improving mathematics educa-tion at First Nations schools is getting to thevery core of how we need to implement im-provements in mathematics education.  This is aprogramme that hopefully can be expanded toother parts of North America.  The contributorsand editors of Pi in the Sky magazine shouldalso be complimented on their work in the areaof mathematics education.Finally, while you are chair of the PIMS Boardof Directors, what are your plans?First of all, let me say how much I am enjoyingworking with the Directors of PIMS, Drs.Ekeland and Adem, the staff members at PIMS,and my colleagues on the PIMS Board.  I thinkthat the role of the chair is to support the Direc-tors and staff in their initiatives and to make surethat the good word about PIMS gets out to thecommunity at large.  As I have said throughout thisinterview, there are a number of initiatives thatPIMS is involved in that have really caught myattention.  Among these are BIRS, IPSW, interna-tional cooperation and primary school education.I plan to be involved in as many of theseprogrammes as I can, and to make sure that wesecure funding from both the government and pri-vate sectors to bring these programmes to fruition.There is sometimes a view of mathematicians aspeople who live in their own little abstract worldthat is divorced from reality.  I think that PIMS isdoing a good job of dispelling this myth and show-ing both industry and the public how importantmathematics is in everyday life.Thank you Dr. Russell.Vol. 9, Issue 16PIMS’ Position on Women and MathematicsDisseminated on January 28, 2005One of the most severe brain drains impeding progress throughout the world, in developed and underdeveloped countries alike, is the fact thatwomen are turning away—or are being turned away—from studies and research in science and technology. An academic authority in the UnitedStates has again raised the possibility that it may be due to “innate differences,” “innate ability,” or “natural ability”.  Such remarks simplyserve to perpetuate and legitimize the exclusion of women from fields where they are sorely needed, and to deprive society of one-half of itsworkforce, not to mention the indignity of branding some of us as unable to understand science. They are certainly not supported by the historynor the current practice of science. Even in the most distant past, some women have been able to overcome the tremendous difficulties put intheir way by a male-dominated academic world and to make their mark in history as great mathematicians. Nowadays, girls and women inschools, colleges and universities, perform at least as well as boys and men in scientific programmes, even if they are less in number. We at PIMSare determined to increase the presence of women in mathematics, by breaking down social stereotypes of the kind we have just heard, and byencouraging female participation in our activities. We thank our female colleagues in the mathematics departments of PIMS universities for thesubstantial contributions they are making to mathematics, and we hope there will be more of them in the future.Call for ProposalsBIRS 2007 ProgrammeThe Banff International Research Station for Mathematical Innovation and Discovery (BIRS)is now accepting proposals for its 2007 programme.  Full information, guidelines, and onlineforms are available at the website http://www.pims.math.ca/birs/.BIRS is aiming for a 48-week scientific programme in 2007.  Each week, the station willbe running  either a full workshop (40 people for 5 days) or two half-workshops (20 peoplefor 5 days). As usual, BIRS provides full meals, accommodation,  and research facilities at nocost to the organizers and to the invited participants, in a setting conducive to research andcollaboration.The deadline for 5-day Workshop and Summer School proposals is October 14, 2005.In addition BIRS will operate its Research in Teams and Focused Research Groupsprogrammes, which allow smaller groups of researchers to get together for several weeks ofuninterrupted work  at the station.October 14, 2005 is also the preferred date to apply for these programmes, however,proposals for projects involving Research in Teams or Focused Research Groups can besubmitted at any time—subject to availability.  They must be received at least 4 monthsbefore their requested start date.Proposal submissions should be made using the online submission form.New PIMS Scientific Review PanelNew Streaming Videos• Ben Green (Former PIMS PDF at UBC)April 27, 2004, lecture about his result, dis-covered with T. Tao, on Arithmetic Progres-sions of Primes.• IAM-PIMS-MITACS Distinguished Collo-quia 2004–5 (6 lectures).• SFU Computing Science DistinguishedLecture Series 2004 (2 lectures). Dan Rudolph (University of Maryland),PIMS Distinguished Chair, Period of Concen-tration in Dynamics, lectures at the Univer-sity of Victoria, October 25–28, 2004 (3 lec-tures). A multitude of lectures from BIRS work-shops, plus many more coming soon.In order to view these lectures you will needReal Player software.  Please see http://www.pims.math.ca/Publications_and_Videos/Streaming_Videos/.On July 1, 2005 the PIMS Scientific ReviewPanel (SRP) started a new term.The new members of the PIMS SRP are:• Alejandro Adem (Deputy Director, PIMS)[ex-officio]• Anne Condon (Computer Science, UBC)• Carl de Boor (Mathematics and ComputerScience, U. Wisconsin-Madison)• John Friedlander (Computer and Mathemati-cal Sciences, U. Toronto at Scarborough)• Nancy Reid (Statistics, U. Toronto)• Donald Saari (Mathematics and Economics,UC Irvine)• Tatiana Toro (Mathematics, U. Washington)• Efim Zelmanov (Mathematics, UC San Diego)The continuing members are:• Ivar Ekeland (Director, PIMS) [ex-officio]• David Brydges (Mathematics, UBC)• Randy Goebel (Computer Science, U. Alberta)• Ian F. Putnam (Mathematics, U. Victoria)• Bob Russell (Applied Mathematics, SFU)• Gang Tian (Mathematics, MIT)• Gunther Uhlmann (Mathematics, U. Wash-ington)• Hugh Williams (Mathematics, U. Calgary)PIMS would like to thank the following peoplewhose term on the PIMS SRP ended in 2005:• David Brillinger (Statistics, UC Berkeley)• Ronald Graham (Computer Science and En-gineering, UC San Diego)• Elizabeth Thompson (Statistics, U. Wash-ington)For biographies of the PIMS SRP please seehttp://www.pims.math.ca/About_PIMS/.Fall 2005 7PIMS PDFs for 2005PIMS is pleased to announce the PIMS Postdoctoral Fellows (PDFs) for2005.  The members of the review panel were Douglas Lind (UW), AilanaFraser (UBC), Pauline van den Driessche (UVic), Rustum Choksi (SFU),Ralf Wittenberg (SFU), Sudarshan Kumar Sehgal (UA) and MichaelLamoureux (UC).New 2005 PIMS PDFs:Mohammad Akbar: General Relativity. Eric Woolgar (UA).Joshua Buresh-Oppenheim: Computational Complexity. David Mitchell(SFU).Lassina Dembélé: Number Theory. Clifton Cunningham (UC).Pierpaolo Esposito: Non-linear PDE. Nassif Ghoussoub (UBC).Hugh Geiger: Inverse Problems. Gary Margrave (UC).Mark Hamilton: Symplectic Geometry. Jedrzej Sniatycki (UC).Guangyue Han: Coding Theory. Brian Marcus (UBC).Jochen Kuttler: Algebraic Geometry. Jim Carrell (UBC).Matilde Lalín: Number Theory. David Boyd (UBC).Ying-Fen Lin: Analysis. Anthony To-Ming Lau (UA).Yongmei Liu: Artificial Intelligence. Eugenia Ternovska (SFU).Iulia Pop: Algebraic Geometry. Arturo Pianzola (UA).Antonio Ramírez: Topology. Alejandro Adem (UBC).Christopher Sinclair: Number Theory. Peter Borwein (SFU) andStephen Choi (SFU).Pablo Spiga: Finite Group Theory. Joy Morris (Lethbridge).Hsian-Hua Tseng: Algebraic Geometry. Jim Bryan (UBC) and KaiBehrend (UBC).Lin Wang: Mathematical Biology. Pauline van den Driessche (UVic).Gert Willems: Robust Statistics. Ruben Zamar (UBC) and MatiasSalibian-Barrera (UBC).2004 PIMS PDFs Renewed in 2005:Omer Angel: Probability. Gordon Slade (UBC).Wael Bahsoun: Measurable Dynamics. Chris Bose (UVic).Boaz Ben-Moshe: Computational Geometry. Binay K. Bhattacharya (SFU).Shlomo Hoory: Expander Graphs. Joel Friedman (UBC).Antonia Kolokolova: Computational Logic. Eugenia Ternovska (SFU).Youngsuk Lee: Atmospheric Modelling. Mary Catherine Kropinski (SFU)and David Muraki (SFU).Wilson Lu: Statistics. Derek Bingham (SFU).Mario Pineda-Krch: Mathematical Ecology. Michael Doebeli (UBC).Jonathan Walgate: Quantum Information Science. Barry C. Sanders (UC).Call for Nominations:PIMS PDFs for 2006PIMS invites nominations of outstanding young researchers inthe mathematical sciences for Postdoctoral Fellowships for theyear 2006–07. Candidates must be nominated by one or morescientists affiliated with PIMS or by a Department (or Depart-ments) affiliated with PIMS. The fellowships are intended tosupplement support made available through such a sponsor.The institute expects to support up to 20 fellowships tenableat any of its Canadian member universities: Simon Fraser Uni-versity, the University of Alberta, the University of BritishColumbia, the University of Calgary, and the University ofVictoria, as well as the affiliated universities: the University ofLethbridge and the University of Regina.For the 2006–07 competition, the amount of the award is$20,000 and the sponsor(s) is (are) required to provide addi-tional funds to finance a minimum stipend of $40,000 (includ-ing benefits).Award decisions are made by the PIMS PDF Review Panelbased on excellence of the candidate, potential for participationin PIMS programs and potential for involvement with PIMSpartners. PIMS Postdoctoral Fellows will be expected to par-ticipate in all PIMS activities related to the fellow’s area ofexpertise and will be encouraged to spend time at other sites. Toensure that PIMS Postdoctoral Fellows are able to participatefully in institute activities, they may not teach more that onesingle-term course per year.Nominees must have a Ph.D. or equivalent (or expect toreceive a Ph.D. by December 31, 2006) and be within threeyears of their Ph.D. at the time of the nomination (i.e.,  thecandidate must have received her or his Ph.D. on or afterJanuary 1, 2003). The fellowship may be taken up at anytime between April 1, 2006 and January 1, 2007. The fellow-ship is for one year and is renewable for at most one addi-tional year.Nominations must include 1) curriculum vitae, 2) statementof research interests, 3) three letters of reference (including onefrom a sponsoring professor), and 4) statement of anticipatedsupport from the sponsor.The sponsors must send the complete nomination package to:Attn: PIMS PDF CompetitionPacific Institute for the Mathematical Sciences1933 West MallUniversity of British ColumbiaVancouver, BC V6T 1Z2Canadaor hand deliver the package to any of the Canadian PIMSSite Offices.Nominations must be received by December 15, 2005.Please see http://www.pims.math.ca/Scientific_Programme/P I M S _ P o s t d o c t o r a l _ F e l l o w s h i p s /Call_for_PIMS_PDF_Nominations/.His main research interests lie in the application and development of tech-niques in nonlinear analysis (particularly, the calculus of variations and nonlin-ear PDEs) to study certain problems arising in the material sciences.  His recentinterests have centred on phase separation and domain formation in diblockcopolymer melts and magnetic materials.  He has been invited to speak on hisresearch at conferences and institutions in Italy, Germany, Japan, the UK,  aswell as throughout North America.Rustum is also a dedicated teacher. Since joining SFU in 1997,  he has taught14 different courses, and in 2003 received SFU's Faculty of Science Excellencein Teaching Award.He takes over from Manfred Trummer who held this position from 2001–05.Rustum Choksi New SFU Site Director.  Continued from first page.Vol. 9, Issue 18Women (and Men) in Science:  How to Ask the Wrong QuestionsBy Barbara Lee Keyfitz, Director of The Fields Institute for Research in Mathematical Sciences and Moores Professor of Mathematics at theUniversity of Houston. She is currently President of the Association for Women in Mathematics.A few months ago, Carolyn Gordon and I published an article titled“Women in Academia:  Are We Asking the Right Questions” (Noticesof the American Mathematical Society, Volume 51 number 7, August2004, pages 784-786).  Carolyn is a professor of mathematics atDartmouth University and has just finished her term as president ofthe Association for Women in Mathematics.  Our point of departurewas a survey showing that, in every field of science, engineering andmathematics, women are not achieving high academic rank at the samerate they are obtaining PhD degrees. (Donna J. Nelson and Diana C.Rogers, A National Analysis of Diversity in Science and EngineeringFaculties at Research Universities, Final Report. (http://www. now.org/issues/diverse/diversity_report.pdf).  The question is: Why?In our article, we urged university faculties and administrations to re-examine the criteria they use in determining whether to grant tenure to afaculty member.  We suggested that they need to ask different questions —about men as well as about women — when making decisions that will affectfaculty composition (and that will affect theway our children and grandchildren experiencetheir university education) for the next severaldecades.Recent remarks by Harvard’s President,Lawrence Summers, have brought this issue topublic attention.  His remarks, however theywere intended, were heard by many to assertthat biological factors, including lifestyle choicesunique to women, are the reason that womenare failing to make the top ranks in academia.Summers has since apologized and the issuehas since moved to another place: many peoplebelieve that President Summers was only calling for the sort of analysis thatwe urged, and wonder whether a scholarly researcher is again being houndedby the guardians of political correctness for asking the “wrong” question.  Inintellectual inquiry, can there be such a thing?If the matter is put that way, the answer is “no”.  We do not encourage thethought police to monitor the curiosity and research of scholars.  But somequestions are more productive, more amenable to answers and more likely tomove us in the right direction than others.  “Why did you leave your shoes inthe middle of the floor?” (after I have just tripped over them in the dark) is anexample of a question that, however sincerely asked, is unlikely to elicit auseful response.  The question of whether biological determinism lies behindwomen’s scoring differences on SAT mathematics tests (as some heard Presi-dent Summers to say) is the same kind of question.  It has been studied manytimes, and the results are inconclusive.  The scoring differences are too slightand the results too culture-dependent to be a convincing measure of biologicaldifference.But suppose that women do have different abilities in mathematics.  Arethese distinctive talents inferior or might they instead represent a way forwomen to contribute uniquely to the advancement of the discipline?  In a testdesigned by men, could there be categories in which women do not performwell, while the qualities that have enabled some women to excel in science andmathematics are simply overlooked by the test?  Even for men, as for women,SAT tests are an indifferent predictor of success, and do not even purport toBarbara Lee Keyfitz.predict outstanding performance in science.  In short, more study of whether,or why, girls do not match top-scoring boys on standardized tests is not likelyto help us understand gender distribution in university faculties.Today’s society needs an increased supply of scientists, mathematiciansand engineers to solve pressing medical problems like cancer and AIDS, toameliorate environmental problems like global warming and pollution, and tocontinue the stream of technological innovation needed to improve the qualityof life for a growing population.  Universities have a unique responsibility ineducating the next generation of scientists and in encouraging the research thatwill solve problems and generate new inventions.  No academic questions are“wrong”, morally, but, in a world stressed by immediate problems of environ-mental hazard and disease, some questions are just not worth asking.Given that so little is known of how to predict a successful career inscience, mathematics or engineering, decisions about hiring or giving tenure touniversity scientists have to be posed in the language of risk-assessment.Risk-averse administrations adopt the conservative strategy of hiring peoplewho look like the people already there.  Butthere are risk factors in hiring men as well aswomen (women have babies, men may havemore health problems in mid life), and predic-tions of success in men are notoriously inaccu-rate.If women’s talents are different, then it ispossible that there are women who can makeunique contributions, at the very highest level,to the scientific enterprise.  But we are not goingto be able to identify those women unless weask the right questions.  Institutions must de-velop workable, imaginative strategies to recruitand retain the best minds to address today’s research and practical challenges.We need to invite the most talented women in science, at every level frompostdoctoral fellow to distinguished professor, to participate in our universi-ties.  We need to make visible, to celebrate, models of success in womenscientists.  We need to observe that they may not have been identified by theusual predictors, and that they may not have achieved success early in life.They may, like men, have been able to combine scientific success with per-sonal fulfillment, or, also like men, they may have struggled with adversityand have been forced to make difficult decisions.The choice of a career is a difficult and important question for a youngperson.  One can ask if it is easier for men than for women to make thesacrifices required for an outstanding career in science.  But that avoids thequestion of what sacrifices are truly necessary for success.  The sad fact is thatin the developed world (the G-8 countries, say), the prospect of a career inscience or mathematics has become so unappealing to our young people thatwe rely on immigration to fill our needs in research and technology.  Why areso many of our brightest children not choosing careers in mathematics andscience?  The current attention to women in science may have the beneficialeffect of drawing attention to the amount of encouragement that everyoneneeds to pursue this rewarding, yet demanding career.And about those shoes.  It is easy to trip each other up, intentionally orinadvertently.  The right question is how to recognize each other as membersof the same community, using our diverse talents for the common good.Fall 2005 9Computation at the Heart of Mathematics:Celebrating the Work of David Boyd, Recipient of the 2005 CRM-Fields PrizeBy Andrew Granville, Université de MontréalOne of the great themes of modern number theory is how analysis and al-gebra often give us the same information by somewhat different means,for example by a formula with an algebraic interpretation on one side andan analytic interpretation on the other.1 There is one such formula thatevery mathematician has been exposed to in their education, but has onlyrecently been seriously interpreted in this way, and that is Jensen’s theo-rem in complex analysis. This theorem tells us that for a function f whichis analytic on a closed disk of radius r, the average value of log jfzjon the boundary of the disk can be determined precisely in terms of fand the zeros of f inside the disk. In the particular case of an irreduciblepolynomial f with leading coefficient a, and the unit disk, this leads tothe formulaMf  jajYfmaxf jjg  expZlog jfeijdThere are a host of results which show that this Mahler measure is “natu-ral”, and there are several intriguing open questions. Foremost is Lehmer’s1934 conjecture suggesting that Mf     for some fixed    forany polynomial fx  Z	x other than x and the cyclotomic polynomi-als; in fact computational evidence suggests that the lower bound is givenby x  x  x	  x  x  x  x  x  . Much of this evi-dence has been given by Boyd and his collaborators who have also settledcertain special cases of Lehmer’s conjecture (most notably, Smyth showedthat it is true for non-reciprocal polynomials). There are certain specialclasses of numbers that one expects to have particularly small measure,for example Pisot numbers, which are real algebraic integers greater than1, all of whose conjugates have absolute value less than 1, and Salem num-bers, where the conjugates all have absolute value less than or equal to 1.Boyd’s nicest work in this area was to show that Salem’s construction ofSalem numbers does in fact give them all [5], as well as his understandingof Pisot numbers in the neighbourhood of a limit point [6]. I should alsomention his 1977 result that there are Pisot sequences which satisfy no lin-ear recurrence [4]. Lehmer’s conjecture has recently been surveyed in thisnewsletter by Whaler [14].One can generalize the notion of Mahler measure to multivariablepolynomials, so that for P  Z	x     xn we definemP  Z  Zlog jP ei     einjd   dn(note that mf  logMf when n  ). We think of this as an integralon the n-dimensional torus RZn, where the co-ordinates vary inde-pendently. Boyd recognized that one can approximate the co-ordinatesvarying independently by replacing each iby a suitable multiple of ;in particular m  x  y  limnm  x  xn. In 1981 ChrisSmyth observed that the value of mxy is quite extraordinary; it isnot some arbitrary real number, nor is it the product of the roots of somepolynomial like in 1-dimension, but rather m  x  y is the value ofan L-function at a particular point, specifically L . This oneexample inspired a host of questions about the values of mP ; for exam-ple, if we replace  by any other prime   mod , can one find Pthat yields an analogous formula? Or are there extensions of this to othertypes of characters and zeta functions? There are a few direct generaliza-tions proven (mostly by Ray, and by Boyd and Rodriguez-Villegas) but alot still remains mysterious. For a long while Smyth and Ray’s results hadremained splendid but seemingly ad hoc, in that no one had discoveredwhy there should be such results.Motives have been one of the great generalizations of modern arith-metic geometry, and they showed much early promise of providing a morecomplete understanding of key concepts, yet arguably have failed to de-liver as much as had been hoped for. However it was in Deninger’s re-search in this area that he developed the first viewpoint to account forthese special Mahler measure values. His original work did not easilyyield new examples, but it did tell one how to look and in a new way.In particular he predicted that there should be various P  Z	xy withmP   rLE  for some non-zero rational number r, where E isthe (elliptic) curve determined by the equation P x y  . FollowingDeninger’s lead, Boyd did a vast amount of calculations to find many ex-amples (in his paper he gives these examples with, in each case, r a rationalwith small numerator and denominator, with the identity confirmed up to decimal places!). Boyd determined under what conditions P shouldbe expected to satisfy a relation mP   rLE :2 the outcome is un-canny in that it seems tailor-made for subsequent researchers to be ableto use (well-known) conjectures of Bloch–Beilinson to predict relations ofthis form (and sometimes prove them). His work [9] on this is an aston-ishing blend of experimentation and intuition.Fernando Rodriguez-Villegas proved several of the formulas in Boyd’spaper, and then together they have a couple of important papers. Thefirst [12] is perhaps the ultimate generalization of Chris Smyth’s resultabout m  x  y, though it barely scratches the surface of what theyhave proved (see [13]). The value L  and appropriate general-izations appear as the volume of a hyperbolic manifold, the upper halfspace of hyperbolic 3-space, modulo certain discrete, torsion-free sub-groups of PSL C . Such hyperbolic manifolds can be decomposedas a sum of “ideal” tetrahedra whose volumes can each be given by theBloch-Wigner dilogarithm function evaluated at a certain point, a connec-tion used by Thurston and then Neumann-Zagier in their work on Dehnsurgery.The A-polynomial is a remarkable invariant of a one-cusped hyper-bolic -manifold whose zero locus basically describes the representationsof its fundamental group into SL C . Manipulating the above con-struction appropriately, Boyd showed how the Mahler measure of any irre-ducible factor of A is given by a sum of Bloch-Wigner dilogarithm values,a remarkable result (see [10, 11]). Although notoriously difficult to com-pute, Boyd has come up with new ways to determine the A-polynomial1For examples, we see this in the Birch-Swinnerton Dyer conjecture, the Tate and Stark conjectures, in Wiles’ proof of the Fermat’s Last Theorem, at the heart of theLanglands’ program,   2He also allows P to define a genus 2 curve whose Jacobian splits into two factors, one of which is E. Continued on next page.Vol. 9, Issue 110The Centre de Recherches Mathématiques (CRM), the Fields Insti-tute, and PIMS invite nominations for the joint CRM–Fields–PIMSPrize, in recognition of exceptional research achievement in the math-ematical sciences. The candidate’s research should have been con-ducted primarily in Canada or in affiliation with a Canadian univer-sity.  The prize was established as the CRM-Fields prize in 1994.Renamed in 2005, the 2006 and later prizes will be awarded jointlyby all three institutes. Previous recipients are H.S.M. Coxeter, GeorgeA. Elliott, James Arthur, Robert Moody, Stephen A. Cook, IsraelMichael Sigal, William T. Tutte, John Friedlander, John McKay,Edwin Perkins, Donald Dawson, and David Boyd.The selection committee struck by the three institutes will se-lect a recipient for the 2006 prize on the basis of outstanding con-tributions to the advancement of the mathematical sciences, withexcellence in research as the main selection criterion.A monetary prize will be awarded and the recipient will be askedCall for Nominations: 2006 CRM–Fields–PIMS Prizeto present a lecture at each of CRM, the Fields Institute, andPIMS.Nominations should be submitted by October 1, 2005 by atleast two sponsors of recognized stature, and should include thefollowing elements: 2 supporting letters, curriculum vitae, list ofpublications, and up to four preprints. During any academic year,at most one prize will be awarded.Submit nominations to:directeur@CRM.UMontreal.CADirecteur, Centre de recherches mathématiquesUniversite de MontrealC.P. 6128, Succ. centre-villeMontreal QC  H3C 3J7Canadain certain special but important cases leading him to some beautiful newresults (for example for the A-polynomial of periodic knots) discovered,of course, experimentally. Understanding these connections has obsessedDavid over the last decade; he tells me that he has twenty-seven 192 pagenotebooks of computations (and their interpretation)!Boyd has an extraordinary breadth of mathematical interests, makingimportant contributions to areas of analysis, number theory, and geometry.Some of his earliest papers were on packings: In 1973 he showed [3] thatthe Hausdorff dimension of the residual set of the Apollonian packing isexactly the same as the exponent of convergence, a result that has beenquite influential recently. Likewise, Boyd’s results [1, 2] on higher dimen-sional packings were a little ahead of their time and were not followed upby others until very recently. I particularly like a more recent result thatcame out of understanding a question on the heights of factors of polyno-mials which has practical applications to symbolic computation: Given apolynomial fx  Zxof degree n, provide a good bound for the size ofthe coefficients of any possible factor g of f . That the (mean square of the)coefficients of g is  n times that of f is easy, and  had been replacedby  p in the literature; what Boyd did was to find the best pos-sible constant [7], which of course turned out to be the Mahler measureof some two-variable polynomial! Such questions were at the time alsoof importance in “effective nullstellensatz” and Boyd produced a string ofimportant results (eg. [8]).Canada has a proud tradition of experimental mathematicians usinggreat ingenuity, tenacity and stamina to extract deep insights from data(John McKay, who won this award in 2003, is another example). Oftenthe final published work does not adequately reflect the difficulty of pro-ducing the data, nor how much is learnt in the process, though expertsin the field appreciate the difference made. In the case of David Boyd’swork one sees, time and again, that he has made valuable insights aidedby extensive computation, creating new research themes which are sub-sequently developed internationally, so that he is a worthy laureate of the2005 CRM-Fields prize.References[1] D. W. Boyd, The osculatory packing of a three-dimensional sphere, CanadianJournal of Mathematics, 25 (1973), 303–322.[2] ——–, A New Class of Infinite Sphere Packings, Pacific Journal of Mathe-matics, 50 (1974), 383–398.[3] ——–, The residual set dimension of the Apollonian packing, Mathematika,20 (1973), 170–174.[4] ——–, Pisot sequences which satisfy no linear recurrence, Acta Arithmetica,24 (1977), 89–98.[5] ——–, Small Salem numbers, Duke Math. Jour., 44 (1977), 315–328.[6] ——–, Pisot numbers in the neighbourhood of a limit point I, Jour. of NumberTheory, 21 (1985), 17–43; II, Math. of Computation, 43 (1984), 593–602.[7] ——–, Two sharp inequalities for the norm of a factor of a polynomial, Math-ematika, 39 (1992), 341–349.[8] ——–, Sharp inequalities for the product of polynomials, Bulletin LondonMathematical Society, 26 (1994), 449–454.[9] ——–, Mahler’s measure and special values of L-functions, ExperimentalMathematics, 37 (1998), 37–82.[10] ——–, Mahler’s measure and invariants of hyperbolic manifolds, in NumberTheory for the Millennium: Proc. Millennial Conf. Number Theory (M.A.Bennett et al., eds.), Urbana, Illinois, May 21–26, 2000, A K Peters, Boston,2002, 127–143.[11] ——–, Mahler’s measure, hyperbolic manifolds and the dilogarithm,(Jeffery-Williams Prize Lecture, CMS Summer 2001) Canad. Math. Soc.Notes, 34.2 (2002), 3–4 & 26–28. (electronically available)[12] ——– and F. Rodriguez Villegas, Mahler’s measure and the dilogarithm (I),Canadian Journal of Mathematics, 54 (2002), 468–492.[13] ——–, with an appendix by N. Dunfield, Mahler’s measure and the dilog-arithm (II), submitted Aug 6, 2003 to Journal of the AMS. 37 pages, xxx-Archives: NT/0308041. (currently being revised)[14] Jeff D. Vaaler, PIMS magazine, vol 7, no 2, Fall 2003, pages 30–34.Fall 2005 11Mathematics, SFUVeso Jungic received an SFU Faculty of ScienceTeaching Award.Adam Oberman was shortlisted for the 2005Leslie Fox Prize for the second time in a row.Bob Russell received the CAIMS Research Prizeat the joint CAIMS–CMS Summer Meeting inHalifax in June 2004.For more information about SFU awards seehttp://www.math.sfu.ca/about/news/.Mathematics, UBCMartin Barlow has been elected as a Fellow ofthe Royal Society (London).Kai Behrend and Joel Friedman were awarded2005 Killam Research Fellowships.Michael Bennett won the Ribenboim Prize ofthe Canadian Number Theory Association.George Bluman won the UBC Faculty of Sci-ence Achievement Award for service to UBC, inparticular for promoting mathematics outreachto schools and for service as head of the Math-ematics Department.David Boyd was awarded the 2005 CRM–FieldsPrize.Michael Doebeli has been awarded the 2005UBC Charles A. McDowell Award for Excel-lence in Research, and the 2005 NSERC SteacieFellowship.Alexander Holroyd is the co-winner with ItaiBenjamini (Weizmann Institute) of the 2004 RolloDavidson Prize.Vlada Limic has been awarded a Sloan ResearchFellowship.Gordon Slade was awarded a 2005 Killam Re-search Prize.Stephanie van Willigenburg won an Early Ca-reer Progress Award from the Peter Wall Insti-tute for Advanced Studies.Vinayak (Nike) Vatsal has been accorded thespecial honour of being invited to give a lectureat the 2006 International Congress of Mathema-ticians in Madrid, Spain.For more information and a full list of awardssee http://www.math.ubc.ca/Dept/Awards/.Mathematical and StatisticalSciences, U. AlbertaJohn Bowman has been awarded a Delta ChiFraternity Teaching Award.K. C. Carrière has been awarded an AlbertaHeritage Foundation for Medical Research HealthScience Award for 5 years starting July 1, 2005.PIMS Scientists Receive Honours There was an error in the printversion of the PIMS Magazine Vol8.1.  On page 10 towards the bottomof the first column, it should read“a number with approximately 1/3 x2^2^2^2^2^2^{100k} digits”.Gerda de Vries is the winner of the 2004–05 Fac-ulty of Science Award for Excellent Teaching.Terry Gannon has been awarded a HumboldtResearch Fellowship (for 40 and under) at theUniversity of Hamburg.Sam Shen has been awarded the McCalla Pro-fessorship 2005–06.Mazi Shirvani is the winner of this year's U.Alberta Rutherford Award for Excellence in Un-dergraduate Teaching. This is the most presti-gious teaching award given by the university.Doug Wiens was elected a Fellow of the Ameri-can Statistical Association.Mathematics and Statistics, U. CalgaryChristiane Lemieux and Josef Dick (U. NewSouth Wales) have been awarded the second Infor-mation-Based Complexity Young ResearcherAward.Mathematics and Statistics, U. VictoriaDavid Leeming received a 2005 PIMS Educa-tion Prize.Hari  M. Srivastava was honoured on his 65thbirthday with the International Symposium onAnalytic Function Theory, Fractional Calculusand Their Applications.  PIMS was a cosponsorof this event.Pauline van den Driessche won the TenthBellman Prize from the journal Mathematical Bio-sciences for the best paper published in the journalover the two-year period from 2002–2003. Sheshares the award with her co-author,  JamesWatmough who was a PDF at U. Victoria at the time.Mathematics, U. WashingtonThe Department of Mathematics was selectedto receive the 2005 Brotman Award for Instruc-tional Excellence. The Brotman Award is theUniversity's undergraduate teaching excellenceaward for departments and other instructional units.Charles Doran and Isabella Novik both re-ceived a Faculty Excellence Award for 2005–06from the Math department at UW.Branko Grünbaum was awarded the 2005 AMSLeroy P. Steele Prize for Mathematical Exposi-tion. Presented annually by the AMS, the SteelePrize is one of the highest distinctions in math-ematics.Jim Morrow received two awards, a 2005 PIMSEducation Prize, and a 2005–06 College of Artsand Sciences Professorship.For more information see http://www.math.washington.edu/.New UBC/SFU JointSeminars in StatisticsContributed by Rachel Altman, SFUOn January 27, UBC and SFU (with the supportof PIMS) launched a new seminar series, entitledUBC/SFU Joint Seminars in Statistics.The goal of this new seminar series is to help increating a cohesive community of statisticians inthe GVRD, and, in particular, to increase the inter-action among faculty and students at UBC andSFU.  The seminars are intended to be informal,and at a level accessible to graduate students.  Bybringing statisticians together—both from the twodepartments and the local medical research cen-tres—it is hoped that the wealth of available re-sources within the community will be highlightedand made more accessible.The topic of the first seminar was Spatial Sta-tistics.  The speakers were Jim Zidek (UBC),Charmaine Dean (SFU), and her graduate stu-dent, Farouk Nathoo (SFU).  Dr. Zidek discussedthe subject of combining information from physi-cal and statistical models for spatial processes suchas air pollution.  He focused on a Bayesian meldingapproach for predicting ozone levels at points on agrid.  Dr. Dean and Mr. Nathoo spoke about multi-state models for data with both temporal and spa-tial components.  Their work has application, forexample, in the monitoring of disease over timewithin a given region.On October 6 the second seminar in the serieswill be held.  It will be on Topics in Bayesian Statis-tics.  The speakers will be Paul Gustafson (UBC)and Tim Swartz (SFU).For more information about this seminarseries,  please contact Rachel Altman(raltman@stat.sfu.ca) or Jason Loeppky(jason@stat.ubc.ca).RachelAltman(SFU)andJasonLoeppky(UBC).Vol. 9, Issue 112Upcoming ActivitiesPacific Rim MathematicalForumBIRS, October 13–16, 2005The Mathematical Sciences Research Institute(MSRI, Berkeley) and PIMS are co-organizingthe Pacific Rim Mathematical Forum in Banffduring the days of October 13–16, 2005.The main objective of this meeting will be toform a cohesive network of mathematical cen-tres in the Pacific Rim, with the goal of layingthe groundwork for substantial networking ac-tivities involving North American institutionsand universities.The meeting will involve a number of activi-ties, including mathematical presentations, roundtables and wide ranging discussions.  The goalwill be to exchange points of view and informa-tion in order to develop a blueprint for compre-hensive interactions between Pacific Rim math-ematicians.On October 17 a mini-symposium will beheld at the PIMS Central/UBC Office with fac-ulty from UBC and other nearby universities.Participants of the BIRS workshop are also in-vited to this meeting.  It will provide an oppor-tunity for these participants to meet with col-leagues in Vancouver, and to see first-hand howtheir institution would benefit from the network-ing framework discussed in Banff.Stringy Topology inMoreliaMorelia, Mexico,January 9–20, 2006This MSRI conference is being organized by R.Cohen (Stanford), J. Morava (Johns Hopkins),A. Adem (UBC) and Y. Ruan (UW-Madison).The local organizers are M. Aguilar (UNAM-Mexico City), D. Juan-Pineda (UNAM-Morelia) and J. Seade (UNAM-Cuernavaca). The introductory lecturers are E. Lupercio(CINVESTAV) and B. Uribe (U. Andes).New ideas in string theory, in particular D-branes and their relevance to open strings, havein many waysrevolutionizedmodern quan-tum fieldThe UBC rose garden.  The image is from theMotives and Periods poster.Photo taken by Misha Bawa.theory, but this subject is currently highly heu-ristic: its formalization and mathematical devel-opment has barely begun. The geometricnaturality and flexibility of these concepts hasfostered rapid development, but their codifica-tion is completely open. Orbifolds, gerbes, andstacks are all topics with well-established clas-sical literatures, but the idea that they should begrouped together, and that the various kinds oftwistings they manifest are relevant to physics,is a new idea in mathematics.The central purpose of this two-week pro-gramme in Morelia is to introduce these con-cepts to young research mathematicians fromboth South and North America. The introduc-tory lectures will provide the necessary back-ground; these will be supplemented, primarilyduring the last week, with lectures on recentprogress by leading researchers.  We anticipatefunding from the National Science Foundation,through its Pan-American Advanced Studies In-stitutes Program.Registration is free and remains open until oneweek before the workshop.  Limited funding isavailable; students, recent Ph.D.s, women and mi-norities are particularly encouraged to apply.Support for travel of Canadian participantsis being provided by PIMS.Further information and links to the work-shop web page are available at: http://www.msri.org.Motives and PeriodsUBC, June 5–12, 2006The conference is intended to cover recent de-velopments in the study of motives and periodswith an emphasis on the connections to phys-ics, arithmetic and algebraic cycles. The confer-ence has an instructional component which con-sists of a series of survey talks. The conferencewill provide an opportunity for young speakersto present their results.The main speakers will be Spencer Bloch(U. Chicago), Pierre Colmez (U. Paris),Kazuya Kato (Kyoto U.) (tentative), DirkKreimer (IHES), Marc Levine (NortheasternU.) and Madhav Nori (U. Chicago).The conference organizers are Jim Carrell(UBC), James D. Lewis (U. Alberta), StefanMüller-Stach (Universität Mainz), AndreasRosenschon (U. Buffalo) and Pramath Sastry(U. Toronto).This workshop is an activity of the PIMSCRG on Algebraic Geometry, GroupCohomology,  and Representation Theory.For more information please see http://www.pims.math.ca/science/2006/06motives/.Canadian Number TheoryAssociation IX MeetingUBC, July 9–14, 2006The Canadian Number Theory Association(CNTA) was founded in 1987 at the Interna-tional Number Theory Conference at Laval Uni-versity. The purpose of the CNTA is to enhanceand promote learning and research in NumberTheory, particularly in Canada. To advance thesegoals the CNTA organizes major internationalconferences, with the aim of exposing Canadianstudents and researchers to the latest develop-ments in number theory.The 2006 conference is being organized byMichael Bennett (UBC), Nils Bruin (SFU),Stephen Choi (SFU) and Vinayak Vatsal (UBC).The plenary speakers are F. Beukers(Utrecht), M. Bhargava (Princeton), H. Cohen(Bordeaux), B. Conrad (Michigan), J. Fried-lander (Toronto), J. Lagarias (Michigan), C.Pomerance (Dartmouth), B. Poonen (Berke-ley), K. Rubin  (UC Irvine), P. Sarnak(Princeton), C. Skinner  (Michigan), K.Soundarajan (Michigan), W. Stein (UC SanDiego), T. Tao (UCLA) and M. Waldschmidt(Jussieu).The conference will include the following spe-cial sessions: Algebraic Number Theory (Orga-nizer: Nike Vatsal), Analytic Number TheoryContinued on page 13.Fall 2005 13PIMS/Shell LunchboxLectures, CalgaryOctober 13, 2005Mark Bauer (Mathematics & Statistics):Elliptic Curve CryptographyNovember 10, 2005David Keith (Chemical and PetroleumEngineering, Schulich School of Engineer-ing): Fossil Fuels Without Emissions: Man-aging the Risks of Underground CO2 Stor-ageDecember 6, 2005Ian Gates (Chemical and Petroleum En-gineering, Schulich School of Engineer-ing): On the Operating Strategy in Solvent-Aided Steam-AssistedGravity DrainageDecember 20, 2005Larry Bates (Math-ematics & Statistics):Spinning TopsIAM-PIMS-MITACSDistinguishedColloquium Series, UBCSeptember 26, 2005Eli Tziperman (Harvard): Rapid Past Cli-mate Change: It’s the Sea IceOctober 17, 2005Eitan Tadmor (U. Maryland): Edge De-tection, Hierarchical Decompositions andVelocity AveragingNovember 7, 2005Gregory Kriegsmann (NJIT): MicrowaveHeating of Materials: A Mathematical andPhysical OverviewJanuary 16, 2006Lakshminarayanan Mahadevan(Harvard): Geometry and Elasticity inPhysical Packing ProblemsMarch 20, 2006Philip Holmes (Princeton): Optimal Deci-sions in the Brain: From Neural Oscilla-tors to Stochastic Differential EquationsMarch 27, 2006John Tyson (Virginia Tech): ComputationalCell Biology: From Molecular Networks toCell PhysiologyAn Inukshuk viewed from downtown Vancouver.The image from the Canadian Number TheoryAssociation IX Meeting poster.(Organizer: Greg Martin), Arithmetic AlgebraicGeometry (Organizer: Imin Chen), ComputationalNumber Theory (Organizer: Nils Bruin) andDiophantine Analysis and Approximation (Or-ganizer: Michael Bennett).Before May 1, 2006, the registration fees areas follows: Faculty with Grants $250, Facultywithout grants and PDFs $125 and Students $75.On or after May 1, 2006, it is: Faculty withGrants $325, Faculty without grants and PDFs$150, Students $100 and Special SessionSpeaker/Organizer $125.  Online registrationcloses May 1, 2006.  On-site registration will beavailable at the event.For more information please seewww.pims.math.ca/science/2006/06cnta.Applied InverseProblems 2007UBC, July, 2007The 4th AppliedInverse Problems(AIP) conferencewill be held inVancouver for oneweek in July of 2007.The enormous increase in computing powerand the development of powerful algorithms hasmade it possible to apply the techniques of In-verse Problems to real-world problems of grow-ing complexity.  Applications include a numberof medical as well as other imaging techniques,location of oil and mineral deposits in the earth’ssubstructure, creation of astrophysical imagesfrom telescope data, finding cracks and inter-faces within materials, shape optimization,model identification in growth processes and,more recently, modelling in the life sciences.The series of AIP Conferences aim to pro-vide a primary international forum for academicand industrial researchers working on all aspectsof inverse problems, such as mathematical mod-elling, functional analytic methods, computa-tional approaches, numerical algorithms etc.The success of the first conference inMontecatini in 2001 with more than 150 par-ticipants and several parallel sessions led to theproposal to have this conference every twoyears, alternating between North or SouthAmerica and Europe or a site outside the west-ern hemisphere. A second equally successfulconference was thus held in Lake Arrowhead,California in 2003 and a third was held inCirencester in the UK Cotswold region from June26–30 in 2005.Each AIP conference will follow the patternof a number of invited talks from internationalexperts and a set of minisymposia on topicalthemes. The venues have been chosen to en-courage the maximum interaction between all par-ticipants. The Vancouver conference will havein excess of 150 participants.The main organizers are Gary Margrave (U.Calgary), Richard Froese (UBC) and GuntherUhlmann (U. Washington).The local organizing committee isUri Ascher, Michael Bostock, Anna Celler,Joel Feldman and Felix Herrmann.The steering committee consists of MarioBertero  (U. Genova, Italy), MichaelLamoureux (U. Calgary), Joyce McLaughlin(RPI), Adrian Nachman (U. Toronto), Will-iam Rundell (NSF and Texas A&M), ErkkiSomersalo (Helsinki Institute of Technology)and Michael Vogelius (Rutgers).This conference is an activity of the PIMSCRG on Inverse Problems.For details on previous workshops and moreinformation see the web page: http://aip.disi.unige.it.AMS Western SectionMeetingUBC, October 4–5, 2008PIMS and the Mathematics Department at UBCwill be co-hosting the American MathematicalSociety (AMS) Western Section Meeting in2008.It will be the first meeting of the WesternSection ever held in Canada (at least over thelast thirty years, which is as far as the AMSstaff could verify).Michel Lapidus is the Western Section Sec-retary for the AMS.For more information see  http://www.ams.org/amsmtgs/sectional.html.Vol. 9, Issue 114Bob Russell with his first Ph.D. studentLuca Dieci (now at Georgia Tech).PIMS-MITACS Adaptivity and Beyond:Computational Methods for Solving Differential EquationsCelebrating the 60th birthday of Robert D. RussellPan Pacific Hotel, Vancouver, August 3–6, 2005Contributed by Manfred Trummer, Simon Fraser UniversityThe main theme of this conference was adaptivecomputational methods for differential equa-tions. Adaptation has now become fundamentalto the numerical solution of differential equa-tions: accuracy and efficiency can be gained byadapting the computation to the physical solu-tion or important properties of the equation tobe solved. Over the last three decades, adaptivecomputation has established itself as an area ofintensive research activities driven by ever morechallenging applications.  It is a rapidly chang-ing area and one in need of development of evenmore robust and reliable strategies and betterunderstanding of the basic principles behindthem. Bob Russell has made manygroundbreaking contributions to the field, and itwas a special privilege to dedicate this confer-ence to Dr. Russell in celebration of his 60th birth-day.Bob Russell received his Ph.D. in 1971 atthe University of New Mexico under the direc-tion of Lawrence Shampine.  In 1971 he becameAssistant Professor at Colorado State Univer-sity and in 1972 he moved to Simon Fraser Uni-versity. He was promoted to Full Professor in1981. He has held numerous visiting positionsthroughout the world, including Stanford, Uni-versity of Auckland and Imperial College (as anSERC Fellow).  Russell’s travels include visitsas an Invited Scholar at the USSR and ChineseAcademies of Science and as a plenary speakerat SIAM’s Dynamical Systems Conference in2000.  His journal editorships have includedSIAM Journal on Numerical Analysis and SIAMJournal for Scientific Computing.  He is a found-ing member and past Vice President of CAIMS(Canadian Applied and Industrial MathematicsSociety), has served two terms on NSERC’sGrant Selection Committee in Computer Science,is on IMACS Board of Directors, and is a Cana-dian representative for ICIAM. Bob Russell wasthe winner of the 2004 CAIMS Research Prize.His field of research is scientific computing,with special emphasis on the numerical solutionof PDEs and ODEs.  A special interest is indynamical systems and computational methodswhich preserve qualitative features of solutionsof differential equations.  This has recently beenin the context of developing mathematical soft-ware using adaptive gridding techniques.Bob Russell has been very much involved inthe governance at the university level (as a memberof the SFU Senate and the SFU Board of Gover-nors), always advocating for the fair treatment ofunderprivileged groups.  He has also been PIMS-SFU site director, is currently the Director of theCentre for Scientific Computing at SFU, and a mem-ber of the Scientific Review Panel of PIMS.Bob is a wonderful colleague, and a mentor tomany young aspiring computational scientists.The gathering at this conference of so many out-standing researchers is a tribute to the countlesscontributions Bob Russell has made to his field.Ms. Barbara Charlie, an esteemed Elder ofthe Squamish Nation opened the meeting with ablessing and welcoming ceremony to her tradi-tional lands.  A short slide show provided somephotographic snapshots of Bob Russell’s career.Rolf Jeltsch from the ETH Zurich delivered aspecial greeting address to Bob from the ICIAMBoard of Directors.  Chris Budd from the Uni-versity of Bath gave a humourous yet informa-tive opening talk entitled “Who put the r into r-adaptivity?” describing some of Bob Russell’smany contributions to scientific computing.  Intotal 32 talks were presented, the majority deal-ing with current research in “adaptivity”, with afew talks in the “beyond” section.  Yet eventhose stirred up a great deal of interest and led tointeresting questions and discussions.The conference schedule allowed a fair amountof time for informal meetings, and, of course, gaveall an opportunity to celebrate Bob’s birthday.Most memorable, perhaps, was our Thursdayevening dinner cruise up Indian Arm, with beauti-ful vistas of the Vancouver area and a near pictureperfect sunset behind the Lions Gate Bridge.The Pan Pacific proved to be a spectacularvenue for the meeting, and the staff at the hoteldid an excellent job.  The meeting was organizedby the SFU PIMS site office.  There were manypeople who contributed to the success of themeeting, and the organizers’ thanks go out to allof them.  Further information can be found at theconference web site http://www.pims.math.ca/sci-ence/2005/05adaptive/. The meeting officiallyconcluded very much in line with Bob Russell’swell known informal style: An evening at an IrishPub in Kitsilano.  Cheers to Bob!Ms. BarbaraCharlie(Elder of theSquamishNation)opening theconference.Uri Ascher (UBC), Jan Christiansen, BobRussell (SFU), a reunion of co-authors.David Watkins (Washington State University),Bob Russell (SFU), Chris Paige (McGillUniversity) and Chris Budd (University of Bath).Fall 2005 15Foundational Methods in Computer ScienceUniversity of British Columbia, June 2–5, 2005Contributed by John MacDonald, University of British ColumbiaPIMS-MITACS Stochastic Calculus andits Applications to Quantitative Financeand Electrical EngineeringUniversity of Calgary, July 24–27, 2005Contributed by Robert J. Elliott, RBC Financial Group Professor of Finance, Haskayne Schoolof Business, University of CalgaryThis conference, partially funded byPIMS, was exceptionally successful.The scientific organizer was PaulMalcolm (National Information andCommunications Technology, Australia).The conference opened on SundayJuly 24 with two parallel series of tuto-rial lectures. One was given by Johnvan der Hoek and Alexei Filinkov(both from U. Adelaide) on fractionalBrownian motion and white noise cal-culus respectively.  The other on filter-ing, estimation and control was givenby Paul Malcolm, Lakhdar Aggoun (Sultan Qaboos U.) and Charalambos Charalambous(U. Cyprus).  These tutorials had audiences of over 20 in each parallel session, including graduatestudents from Calgary, Edmonton, Waterloo and elsewhere.The conference proper was opened on July 25 by Carol Stewart (Vice Dean, Haskayne Schoolof Business) and Paul Malcolm.  The opening speaker was Dilip Madan (Morgan Stanley andU. Maryland).  The other three speakers on the opening morning were Eckhard Platen (U. Tech-nology, Sydney), John van der Hoek and Monique Jeanblanc (Université d’Evry).Monday and Tuesday afternoons were taken up with parallelfinance and engineering sessions.Tuesday morning the opening speaker was Alain Bensoussan(Formerly head of the French Space Agency, now at the U. Texas,Dallas) followed by Vikram Krishnamurthy (UBC), CharalambosCharalambous and Wolfgang Runggaldier (U. Padova, Italy).The closing speaker on Wednesday was Helyette Geman(ESSEC and Universite de Paris IX).Scientifically and socially the conference was very enjoyable. Manypeople said it was the best meeting they had attended.For more information please see http://homepages.ucalgary.ca/~rje2005/RJEProgram.html.Robert J. Elliott (U. Calgary).5th Combinatorics DayUniversity of Lethbridge,May 20, 2005Contributed by organizers Wolf Holzmann andHadi Kharaghani, University of LethbridgeThis event attracted about 35 participants, withabout half local, with the rest mainly from uni-versities in Western Canada including Calgary,Alberta, Regina, Manitoba, and from Montana,USA.  About half of the participants were gradu-ate and undergraduate students.The single day event provided a chance forresearchers and others with an interest in com-binatorics to meet and exchange ideas, and de-velop collaborative relationships.The event included the presentation of the2004 Hall Medal to Masaaki Harada on behalfof the ICA by Professor Ralph Stanton.The speakers and the title of their talks were:Masaaki Harada (Yamagata U., Japan): A Sur-vey of Extremal Doubly-Even Self-Dual CodesSteve Kirkland (U. Regina): Aztec Diamondsand Hankel DeterminantsJohn W. Moon (U. Alberta): Some Results onDistances in TreesMore information can be found at http://www.pims.math.ca/combday5.Ernie Ruet D’auteuil (ICA), Ralph Stanton(U. Manitoba), Masaaki Harada (Yamagata U.),Hadi Kharaghani (U. Lethbridge), Steve Kirkland(U. Regina) and Rob Craigen (U. Manitoba).The Foundational Methods in Computer Sci-ence (FMCS05) workshop was an informal meet-ing to bring together researchers in mathematicsand computer science with a focus on applica-tions of category theory in computer science.Featured speakers included Vaughan Pratt(Stanford) and Steve Bloom (Stevens Instituteof Technology) as well as Ernie Manes (U.Massachusetts) and Phil Mulry (Colgate U.).The meeting began with a reception at 6pmin the Ruth Blair room in Walter Gage Towerson the UBC campus on Thursday June 2, 2005.This was followed by a day of tutorials aimed atstudents and newcomers to computer scienceapplications of category theory, followed by aday and a half of research talks. The meetingended at 1pm on Sunday June 5.There were a few invited presentations, butthe majority of the talks were solicited from theparticipants. Student participation was particu-larly encouraged at FMCS with several studentsmaking presentations based on their theses.The next meeting of this workshop will be atthe Kananaskis field station of the Universityof Calgary in June 2006. It is scheduled to returnto the UBC campus in 2009.John van der Hoek (U. Adelaide), EckhardPlaten (U. Technology, Sydney), MoniqueJeanblanc (Université d’Evry) and HaroldKushner (Lefschetz Center for Dynamical Systems).Vol. 9, Issue 116Featured PIMS CRG: Probability and Statistical Mechanics: 2004–06Contributed by Ed Perkins, University of British Columbia2005 Probability Summer School lecturers:Gordon Slade (UBC), Yuval Peres (Berkeley).The PIMS Collaborative Research Group inProbability and Statistical Mechanics has beenactive since April of 2004 and will continuethrough the summer of 2006.  The first SummerSchool in Probability at UBC was held last Juneand featured 5 weeks of lectures by MartinBarlow (UBC) on Random Walks and the Ge-ometry of Graphs and Greg Lawler (Cornell U.)on Schramm–Loewner Evolution (SLE) andother Conformally Invariant Processes in thePlane.  The courses were attended by over 50students roughly in equal numbers from Canada,the U.S. and Europe and were officially offeredas Graduate level courses by the Department ofMathematics at UBC.Random walks on graphs can be studied in anundergraduate level probability course. MartinBarlow’s course looked at more advanced prob-lems in this area, and reviewed approaches whichhave been developed in the last 20 years or soby Varopoulos, Stroock, Saloff–Coste and oth-ers. One theme of this course was the relationbetween geometric properties of graphs (as givenfor example by isoperimetric inequalities), ana-lytic inequalities on the graph, and properties ofthe transition densities of the random walk.Many of the students at the course enjoyed ashort break to participate in a two day confer-ence: Analysis, Probability, and Logic: A Con-ference in Honor of Edward Nelson, June 17–18, 2004, which was held with the generous sup-port of NSF and PIMS. It featured review lec-tures on areas influenced by Nelson’s seminalpapers: Quantum Field Theory, Stochastic Quan-tum Mechanics, Logic, Nonstandard Analysisand Functional Analysis.  Lectures were givenby David Brydges, Sam Buss, Eric Carlen, LenGross, Greg Lawler, Barry Simon, Cedric Villani,and Jay Hook.Many of the participating students also at-tended the first two of an outstanding sequenceof five lectures given by Erwin Bolthausen (U.Zürich) on Sherrington–Kirkpatrick SpinGlasses (June 21–July 2, 2004).  These lecturesconcerned a deep development in the physics ofhigh dimensions where an outstanding open prob-lem for nearly thirty years has been to provethat the ansatz for the Sherrington–Kirkpatrick(SK) model found by the Italian physicist,Giorgio Parisi, is actually the exact solution.  Heexplained that the SK model is an instance of theclassical problem of finding the maximum of afamily of Gaussian random variables. AlthoughFernique, Talagrand and others have developedmethods for handling such quantities, “thesetheories never give exact constants, the Parisi-theory does, revealing an absolutely marvellousmathematical structure behind the problem,which is still very poorly understood, to thisday”.  The lectures go on to explain the rigorouswork originated by Francesco Guerra whichplayed an important role in the complete solu-tion given recently by Michel Talagrand.Greg Lawler’s course provided a comprehen-sive introduction to SLE which has provided arange of conformally invariant processes in theplane which have arisen as scaling limits of loop-erased random walk, percolation on the triangu-lar lattice and the frontier of planar Brownianmotion. Thus many of the predictions made byconformal field theory in the physics literaturehave been rigorously proved.  Self-avoiding walkhas been proposed as a model for long polymerchains in chemical physics.  Whether or notrescaled two-dimensional self-avoiding walk con-verges to SLE (8/3) remains a major open prob-lem.  The corresponding question in four dimen-sions, where the scaling limit is conjectured tobe Brownian motion, is a problem of active cur-rent research of David Brydges and Gord Slade(UBC) and John Imbrie (Virginia). The corre-sponding limit in 5 or more dimensions wasshown by Takashi Hara and Gord Slade to beordinary Brownian motion using the lace expan-sion introduced by Brydges and Spencer.  I havealready described all that is known in the obvi-ously important 3-dimensional setting. Thisstate of affairs has recently been replayed forcritical percolation, where in dimensions greaterthan 6, the scaling limit appears to be a measure-valued cousin of Brownian motion, and for twodimensions the scaling limit for critical site per-colation on the triangular lattice is SLE (6).  Thesescaling limits were the focus of a 5–day work-shop at BIRS, Critical Scaling for Polymers andPercolation, organized at the end of May 2005by David Brydges (UBC), Jennifer Chayes(Microsoft Research) and Gordon Slade (UBC).The Lace Expansion and its Applications was thetopic of Gord Slade’s lectures in this year’s Sum-mer School (June 5–30, 2005) at UBC.  The sec-ond set of lectures was given by Yuval Peres (Ber-keley) on Mixing for Markov Chains and Spin Sys-tems.  Over 50 participants registered for thesecourses which are again being offered as officialcourses by the Math Department at UBC.The PIMS Distinguished Chairs for 2004–05were Richard Bass (U. Connecticut) and YaozhongHu (Kansas U.).  Professor Bass spent a year atUBC and gave an advanced graduate course onProbabilistic Techniques in Partial DifferentialEquations in the fall term.  Professor Hu is visitingthe University of Alberta for most of the year andgave a series of lectures there including an openlecture on a new Black–Scholes Type Formula forStock Prices with Longterm Memory that attractedover thirty-five people from diverse areas of in-dustry and academia.  Professor Bass spent a weekat U. Alberta in March, 2005, and Professor Huvisited UBC in November, 2004.  Nick Krylov (U.Minnesota) also visited both campuses in Januaryand February, 2005.  He spoke at UBC on hiswork on solutions to the heat equation with ran-dom boundaries problems and applications to sto-chastic PDE.  One of next year’s DistinguishedChairs will be Frank den Hollander (Technical Uni-versity Eindhoven) who will spend January–Au-gust 2006 at UBC and give a course on Large De-viations.  Hollander is the outgoing Director ofEurandom, a research institute in stochastics inEindhoven, the Netherlands.  He has an impres-sive range of interests including percolation, branch-ing particle systems, superprocesses, and large de-viations.There has been increased involvement withU. Washington this year and it will continue nextyear.  PIMS continues to be a joint sponsor ofPIMS Collaborative Research GroupsFall 2005 17Hiking The Chief: Participants of the2005 PIMS-MITACS Summer School in Probability.the Pacific Northwest Probability Seminar heldOctober 23, 2004, in Seattle as an MSRI-Net-work Conference.  Lectures were given by MinaOssiander (Oregon State), Rick Kenyon (UBC,new Canada Research Chair), Oded Schramm(Microsoft Research) and Ofer Zeitouni (U.Minnesota) who gave the first Birnbaum Lec-ture.  Professor Zhenqing Chen of U. Washingtonvisited UBC in the fall term of 2004 and worked onresearch projects with Martin Barlow (UBC), Ri-chard Bass (Distinguished Chair) and Ed Perkins(UBC).  Next year PIMS and the Math Depart-ment at U. Washington will sponsor a year longvisit by Rami Atar (Technion) to U. Washingtonwhere he will be working with Chris Burdzy.  Ramiwill also be visiting UBC for part of this time.A number of visitors came to UBC this sum-mer to participate in the summer school and aninformal workshop on Uniqueness Questions forInfinite Dimensional Diffusions, July 4–10.  Thescaling limit of branching random walks, orbranching random walks conditioned on constantpopulation size converge to a Dawson–Watanabesuperprocess or Fleming–Viot process, respec-tively.  The former processes also describe thescaling limit of critical percolation in high di-mensions mentioned earlier.  In this setting theindividual members of the population branch andmigrate independently.  In the more realistic set-ting where the particles interact, the correspond-ing limit theorem is open in general.  The prob-lem is that the limiting stochastic partial differ-ential equation exhibits non-Lipschitz and de-generate coefficients in front of the noise and souniqueness of solutions is unresolved.  In thecontext of Fleming–Viot processes a fundamen-tal paper of Don Dawson and Peter March (J.Funct.  Anal. 1995) established uniqueness inthe context of Fleming–Viot processes but onlyfor small perturbations of the non-interactingcase.  The finite-dimensional case was in factonly recently settled in papers of Athreya,Barlow, Bass and Perkins (2003) using again aperturbative approach but now with respect toa norm which allows perturbations of arbitrarysize.  So far the original problem has not submit-ted to these advances, however.  The workshopwill focus on these general questions and also onparticular interactive models arising naturally inpredator-prey and diploid branching systems.Lorenzo Zambotti (Politecnico Milano, Italy)has done some intriguing calculations on the lat-ter which were presented at a BIRS Workshopon Stochastic PDEs in 2003.  Participants in thissummer’s Workshop included Martin Barlow,Richard Bass, Don Dawson, Jean–Francois LeGall, Peter March, Leonid Mytnik, Ed Perkins,Yongjin Wang and Lorenzo Zambotti.Algebraic Geometry, Group Cohomology and Representation Theory: 2005–07New PIMS CRGs starting Periods of ConcentrationOverviewAlgebraic geometry is a mathematical disciplinewhich uses the techniques and tools of algebra(e.g. rings, ideals and fields) to attack geometricproblems. The fundamental objects which alge-braic geometers study are algebraic varieties, thecommon zeros of a collection of polynomials. Inthe last four decades, beginning with the groundbreaking work of Alexandre Grothendieck, thediscipline has undergone phenomenal growth andhas had a profound influence on the develop-ment of modern mathematics. Many of its cel-ebrated works have led to Fields Medals: theproofs of the Weil Conjectures by Deligne,Mumford's work on geometric invariant theory,Hironaka’s work on the resolution ofsingularities, Mori’s work on the classificationof algebraic varieties in dimension three andWiles' proof of Fermat’s Last Theorem whichused arithmetic algebraic geometry. Furthermore,the work of Kazhdan, Lusztig, Kashiwara andothers has made algebraic geometry an indispens-able tool for representation theory. In the lastfifteen years, exciting new connections betweenalgebraic geometry and physics emerged, whichled to unexpected new mathematical theoriessuch as mirror symmetry and quantumcohomology and to many important develop-ments in the field of mathematical string theory.Algebraic geometry has also given us newinsight into the nature of algebraic groups andGalois cohomology. During the last two decadesmany exciting fundamental theorems have beenestablished due to the introduction of new pow-erful techniques from algebraic topology and al-gebraic geometry. For instance, Voevodsky’s useof homotopy and cobordism theory have resultedfirst in the solution of Milnor conjecture and,more recently, the Bloch-Kato conjecture. Fur-ther development of these ideas is crucial.This CRG has many people working at thecutting edge in several of the above areas. Amongthe specialties represented by our varied group arealgebraic stacks, geometric invariant theory, alge-braic group actions, toric varieties and torus ac-tions, algebraic cycles, Gromov-Witten theory,arithmetic algebraic geometry, classification theory,algebraic representation theory, Lie theory andSchubert varieties, group cohomology.The scientific activities below make up the2005–06 PIMS Thematic Programme on AlgebraicGeometry, Cohomology and RepresentationTheory.  The CRG received additional funding forthese activities.  It has been said that the 2005 AMSSummer Institute in Algebraic Geometry was thelargest meeting in algebraic geometry ever.  We arepleased to have hosted it at a PIMS university.Vol. 9, Issue 118verse problem. In the year 2000, nearly $4 bil-lion was spent worldwide on seismic imaging.The heterogeneity and anisotropy of the Earth'supper crust require advanced mathematics togenerate wave-equation solutions suitable forseismic imaging.Other inverse problems arise in non-destruc-tive evaluation of materials. The structuralchanges due to cracks or flaws are used to iden-tify the locations of those defects. Radar andsonar are based on inverse scattering methods.Mathematics plays a crucial role in the under-standing and modelling of the inverse problemas well as in finding reconstruction algorithms.During the last twenty years or so there havebeen remarkable developments in the mathemati-cal theory of inverse problems. These develop-ments together with the enormous increase incomputing power and new powerful numericalmethods have made it possible to make signifi-cant progress on increasingly more realistic andOverviewInverse Problems (IP) are problems where causesfor a desired or observed effect are to be deter-mined.  An important example is to determinethe density distribution inside a body from mea-suring the attenuation of X-rays sent throughthis body, the problem of "X-ray tomography".The matematical problem was studied first byRadon in 1917. Much later, pioneering work byHounsfield and Cormack led to the first workingX-ray tomography machines and later to CATscans and was honored with the Nobel Prize forMedicine in 1979.  This development revolu-tionized the practice of medicine.  Other morerecent medical imaging techniques are MRI wherethe effect of a strong magnetic field on the bodyis measured, ultrasound where sound waves aresent through the body and their reflections mea-sured, and Electrical Impedance Tomographywhere electrical measurements are made on theboundary of the body, to name just a few.  Earthsciences continue to be a generator of many com-pelling inverse problems.  All of our knowledgeof the Earh's interior is indirectly derived fromsurface measurements, as is a great deal of whatwe know about the surface and the atmosphere.Reflection seismology in oil exploration is awell-known and economically important inverseproblem. Here sound waves are generated at thesurface of the Earth. By looking at the reflectionof these waves one would like to determine thelocation and character of oil deposits. From aneconomic perspective, seismic imaging is by farthe dominant geophyscial inversion technique.Seismic imaging creates images of the Earth'supper crust using seismic waves generated byartificial sources and recoreded into extensivearrays of sensors (geophones or hydrophones).The techonology is based on a complex and rap-idly evolving mathematical theory that employsadvanced solutions to a wave equation as toolsto solve approximately the general seismic in-Graduate Student Warm-Up Workshop for AMSSummer Institute in Algebraic Geometry, logo.Scientific ActivitiesThe group is associated with a large number ofworkshops and conferences:April 9–10, 2005: WAGS: Western AlgebraicGeometry Seminar, U. WashingtonJuly 18–22, 2005: Graduate Student Warm-UpWorkshop for AMS Summer Institute in Alge-braic Geometry, SeattleJuly 25–August 12, 2005: AMS Summer Insti-tute in Algebraic Geometry,  SeattleJune 5–12, 2006: Motives and Periods, UBC(for more information please see page 12)Related BIRS WorkshopsApril 23–28, 2005: Applications of Torsors toGalois Cohomology and Lie TheorySeptember 10–15: 2005, Interactions BetweenNoncommutative Algebra and Algebraic GeometryOctober 8–13, 2005: Progress in Algebraic Ge-ometry Inspired by PhysicsNovember 12–17, 2005: Homotopy Theory andGroup ActionsDecember 10–15, 2005: Regulators IIJuly 1–6, 2006: PIMS/UNAM Summer SchoolJuly 22–27, 2006: Moduli Spaces and Combi-natoricsSeptember 2–7, 2006: Algebraic Groups, Qua-dratic Forms and Related TopicsWeekly SeminarsUBC Algebraic Geometry SeminarUBC Algebra & Topology SeminarUniversity of Alberta Algebra SeminarRegional SeminarBAGS: Bellingham Algebraic Geometry Semi-nar. A biannual miniconference held inBellingham with participants from UBC and UW.PIMS Distinguished VisitorMichael Thaddeus (Columbia) will be a long-term visitor at PIMS-UBC, September 2005–August 2006.FacultyCRG Leaders: Arturo Pianzola (U. Alberta),Jim Bryan (UBC)SFU: Nils Bruin, Imin ChenU. Alberta: Xi Chen, Gerald Cliff, VladimirChernousov, Terry Gannon, Jim LewisUBC: Alejandro Adem, Kai Behrend, PatrickBrosnan, Jim Carrell, Bill Casselman, KalleKaru, Dale Peterson, Zinovy ReichsteinU. Calgary: Clifton CunninghamU. Washington: Eric Babson, Sara Billey,Chuck Doran, Amer Iqbal, Sandor Kovacs, PaulSmith, Rekha Thomas, James ZhangPostdoctoral FellowsPostdoctoral fellows associated with the alge-braic geometry group include Jacob Shapiro(PIMS-UBC), Anca Mustata (UBC) and AndreiMustata (UBC).Two CRG sponsored PIMS postdoctoral fel-lows will join the group in the fall of 2005: Hsian-Hua Tseng at UBC and Iulia Pop at U. Alberta.Confirmed VisitorsM. Roth (Queen’s), D. Maulik (Princeton), Y.Ruan (Wisconsin), P. Gille (CNRS, UniversitéParis-Sud), M. S. Raghunathan (Tata Institute),I. Panin (St. Petersburg), D. Harari (ENS Paris),J. Minac (U.Western Ontario), J. Carlson (U.Georgia), S. Smith (U. Illinois, Chicago).OpportunitiesThere will be additional postdoctoral fellowssponsored by the Collaborative Research Groupbeginning in fall of 2006. Applications shouldbe sent to faculty members with research inter-ests common to the applicant.Inverse Problems: 2005–07Continued from page 17.Fall 2005 19Call for Proposals:Letters of Intent — Periodsof Concentration for CRGsPIMS invites interested researchers to sub-mit letters of intent for periods of concen-tration of a collaborative research group tostart in or after April 2006. Deadline: Sep-tember 30, 2005. Letters of intent shouldbe 2–4 pages long. On advice of the PIMSScientific Review Panel the PIMS Directorwill invite successful groups to submit afull proposal for a period of concentration.Full proposals are usually developed inconsultation with the PIMS Deputy Di-rector and Site Directors.For more details please see: http://w w w.p ims .math . ca /Sc i en t i f i c_Programme/Call_for_Proposals/.William Symes(Rice), PIMSDistinguishedChair.difficult inverse problems.Many of the physical situations indicatedabove are modelled by partial differential equa-tions. The inverse problem is to determine thecoefficients of the partial differential equationinside the medium from some knowledge of thesolutions, usually on the boundary. Already theinteraction between experts in partial differen-tial equations and on inverse problems have pro-duced significant advances.FacultyCRG leaders: Gary Margrave (U. Calgary),Gunther Uhlmann (U. Washington)UBC: Joel Feldman, Richard Froese, NassifGhoussoub.U. Calgary: Paul Binding, Peter Gibson,Michael Lamoureux, Peter Lancaster, LarryLines, Jedrzej Sniatycki and Tony Ware.U. Washington: Ken Bube, Edward Curtis,James Morrow, John Sylvester.Distinguished ChairsWilliam Symes (Rice) gave three lectures on theMathematics of Seismic Imaging at UBC in July2005.Lou Fishman (MDF International) gavefour lectures on the Phase Space and PathIntegral Methods in Seismo-Acoustic WavePropagation Modeling and Imaging atU. Calgary in September 2005.Scientific ActivitiesJuly 2007: The Applied Inverse Problems Con-ference, Vancouver (please see page 13 for moreinformation)PIMS-MITACS-VIGRE Summer Gradu-ate School on Inverse Problems,U. Washington, August 1–5, 2005There were more than 55 participants in the sum-mer school. During the week of the summer school,William Symes from Rice University gave thePIMS Distinguished Lectures on The Mathemat-ics of Seismic Imaging. In addition, the followingdistinguished researchers gave a minicourse con-sisting of three one hour lectures covering a broadrange of topics in Inverse Problems:Guillaume Bal (Columbia): Some InverseTransport Problems and Their ApplicationsJoyce McLaughlin  (RPI): InteriorElastodynamics Inverse Problems: Findingshearwave speed from interior displacementsGary Margrave (U. Calgary): Seismic Imaging:Theory and PromisePlamen Stefanov (Purdue): Tensor Tomogra-phy and Boundary RigidityGunther Uhlmann (U. Washington): Electri-cal Impedance TomographyRelated BIRS WorkshopsSeptember 24–29, 2005: Time Frequency Analy-sis and Nonstationary FilteringAugust 19–24, 2006: Inverse Problems and Ap-plicationsQuantum Topology: 2005–07OverviewThe problems of interest in this CRG are (i) theso-called "many-body problem" in non-relativ-istic physics, particularly on lattices in low spa-tial dimension; and (ii) the problem of finding auniversal quantum computer which evadesdecoherence. Phrased this way, these problemsseem almost parochial. However we now knowthat they are in many ways equivalent, and thatmoreover they are closely related to importantproblems in theoretical computation, graphtheory, topology, black hole physics and stringtheory, and non-commutative geometry. Thereis also a strong relation to problems in numbertheory.The main purpose of this CRG is to bringtogether a group of mathematicians and physi-cists whose interests are united by the 2 prob-lems stated above. Our aim is to resolve somecritical issues, which are issues in both math-ematics and physics. The work we plan willfocus around the following projects:   1. 1-dimensional Problems   2. Renormalisation Group   3. Topological Methods   4. Numerical Methods   5. New Field Theories   6. Quantum Enviroments and Decoherence   7. Spin Nets of QubitsFacultyCRG Leaders: Joel Feldman (UBC), Boris L.Spivak (U. Washington), Philip Stamp (UBC)UBC: Ian K. Affleck, Mona Berciu, George A.SawatzkyQuantum TopologyCRG Leaders.Top row: PhilipStamp (UBC),Boris L. Spivak(U. Washington).Bottom row: JoelFeldman (UBC).U. Alberta: Frank MarsiglioU. Calgary: Richard E. Cleve, John WatrousSFU: Igor HerbutVol. 9, Issue 120PIMS CRG on NumberTheory: 2003–05This CRG held three consecutive workshopsat BIRS in November of last year.  They were:Explicit Methods in Number TheoryNovember 13–18, 2004Number Theorists WeekendNovember 18–20, 2004Diophantine Approximation andAnalytic Number TheoryNovember 20–25, 2004PIMS CRG on String Theory:2003–05As the activities of this CRG wound down, PIMSprovided sponsorship for four graduate studentsor PDFs to attend the following two events:2005 Summer School on Strings,Gravity and CosmologyPerimeter Institute, June 20–July 8, 2005This was the third annual such summer school.For more information including the report seewww.pims.math.ca/science/2005/05sssgc.Strings 05U. Toronto, July 11–16, 2005This conference included two public lectures:Robbert Dijkgraaf (U. Amsterdam): Strings,Black Holes, and the End of Space and TimeLeonard Susskind (Stanford): Cosmic Land-scape: String Theory and the Illusion of Intel-ligent DesignFor more information see www.strings05.ca.PIMS CRG on MathematicalEcology and Evolution:2003–05The 4th Annual PIMS-ASRA Mathematical Bi-ology Summer Workshop was an activity ofthis CRG.  See page 30 for a full report.PIMS CRG on Topology:2004–06Hyperplane Arrangements WorkshopUBC, August 21–24, 2005The conference organizers were Graham Denham(U. Western Ontario) and Sergey Yuzvinsky(U. Oregon).  The topics and speakers were:Dan Cohen (Louisiana State U.): Pure braidMonomorphismsNicole Lemire (U. Western Ontario): GaloisModule Structure of Galois CohomologyDaniel Matei (Romanian Academy of Sciences):Local System Homology of Pure Braid GroupsLaurentiu Maxim (Pennsylvania): Multivari-able Alexander Invariants of HypersurfaceComplementsRichard Randell (U. Iowa): Some representa-tions of Arrangement GroupsFranco Saliola (Cornell U.): The Face Semi-group Algebra of a Hyperplane ArrangementHal Schenck (Texas A&M): Projective Dimen-sion of D(A)Misha Shapiro (Michigan State U.): ClusterAlgebras of Finite mutation TypeAlex Suciu (Northeastern): Algebraic invari-ants for Bestvina-Brady groupsTopics in Homotopy Theory Graduate Summer SchoolU.  Calgary, August 22–26, 2005The goal of this intensive five-day programmewas to provide an opportunity for graduatestudents in topology to gain exposure to sev-eral emerging areas of research in homotopytheory.  The speakers were:Alejandro Adem (UBC): Orbifolds and GroupCohomologyFrederick Cohen(U. Rochester)gave two talks atUBC as a PIMSDistinguishedChair.  He spokeabout BraidGroups and theirApplications inearly August2005.Recent Activities of Ongoing PIMS CRGsPIMS CRG on Dynamics andRelated Topics: 2003–05Summer School in Aperiodic OrderU. Victoria, August 8–13, 2005The main focus of this event was four seriesof introductory lectures, consisting of five onehour lectures each.  These were mainly in-tended for graduate students and post-doc-toral fellows.  The topics and speakers were:Daniel Lenz (TU Chemnitz): Diffraction andDiscrete GeometryFranz Gaehler (U. Stuttgart): Physics ofQuasi-Crystals (for Mathematicians)Lorenzo Sadun (U. Texas, Austin): Topologi-cal Aspects of Aperiodic OrderBoris Solomyak (U. Washington): Tilings andDynamicsThe organizers were Robert V. Moody(U. Alberta) and Ian F.  Putnam (U. Victoria).The Northwest Dynamics SymposiumU. Victoria, August 15–19, 2005The organizing committee consisted ofChris Bose (U. Victoria), Chris HoffmanThe participants of the Summer School inAperiodic Order.(U. Washington), Doug Lind (U. Washington)and Ian Putnam (U. Victoria).The speakers included: Vitaly Bergelson(Ohio State U.), Mike Boyle (U. Maryland),Bob Burton (Oregon State U.), Mike Keane(Wesleyan U.), Robert Moody (U. Alberta),Dan Rudolph (Colorado State U.), and KlausSchmidt (U. Vienna).John Baez (UC Riverside): Gauge Fields andHomotopy TheoryDan Dugger (U. Oregon): Motivic Homotopy TheoryDev Sinha (U. Oregon): Operads and the Inter-play Between Algebraic and Geometric TopologyGraham Denham (U. Western Ontario) andSergey Yuzvinsky (U. Oregon), the organizers ofthe Hyperplane Arrangements Workshop.Fall 2005 21Banff International Research Station: 5-Day Workshops in 2006Feb 11–16 Frontiers in String Theory:H. Ooguri (Caltech), B. Greene (Columbia),A. Peet (Toronto), G. Semenoff (UBC)Feb 18–23 Advances in ComputationalScattering: N. Nigam (McGill), D. Nicholls (NotreDame), F. Reitich (Minnesota, Twin Cities)Mar 4–9 Convex Sets and their Applications:T. Bisztricky (Calgary), P. Googey (Oklahoma),P. Gritzmann (TU Munich), M. Henk(Magdeburg), D. Larman (UC London)Mar 11–16 Coarsely Quantized RedundantRepresentations of Signals: O. Yilmaz (UBC),S. Gunturk (Courant), T. Nguyen (City College,CUNY), A. Powell (Princeton)Mar 18–23 Reaction-Diffusion and FreeBoundary Problems: L. Ryzhik (Chicago),P. Constantin (Chicago), F. Hamel (UPCAM),R. Jerrard (Toronto), J-M. Roquejoffre (UPSToulouse)Mar 25–30 Exploring the Frontiers of DynamicNuclear Medicine Imaging for Medical andMolecular Applications: M. Trummer (SFU),  A.Celler (Vancouver Hospital and Health ScienceCentre), G. Gullberg (Berkeley Lab), M. King(Massachusetts Medical School)Apr 1–6 Recent Trends in HigherDimensional Geometry: J. McKernan (UCSanta Barbara), X. Chen (Alberta), A. Corti(Cambridge), C. Ingalls (New Brunswick),S. Kovacs (Washington), M. Reid (Warwick)Apr 8–13 BIRS Workshop onNoncommutative Geometry: M. Khalkhali(Western Ontario), A. Connes (IHES), J. Cuntz(Muenster), G. Elliott (Toronto), B. Tsygan(Northwestern)Apr 15–20 Nonlinear Diffusions: Entropies,Asymptotic Behavior and Applications:J.A. Carrillo (Institucio Catalana de Recerca iEstudis Avancats), E.  Carlen (Georgia Tech),J. Dolbeault (Paris Dauphine), P.A. Markowich(Vienna), R.J. McCann (Toronto)Apr 22–27 Schrödinger Evolution Equations:J. Wunsch (Northwestern), J. Colliander (Toronto)Apr 29–May 4 Analytic and GeometricTheories of Holomorphic and CR Mappings:S.G. Krantz (Washington, St. Louis), J. Bland(Toronto), H. Gaussier (Provence), K-T. Kim(POSTECH), F. Larusson (Western Ontario),J. Noguchi (Tokyo)May 6–11 Forests, Fires and StochasticModeling: C. Dean (SFU), W. Braun (WesternOntario), F. He (Alberta), D. Martell (Toronto),H. Preisler (USDA Forest Service)May 13–18 Analytic Methods forDiophantine Equations: A. Granville(Montréal), M. Bennett (UBC), C. David(Concordia), W. Duke (UCLA), Y. Tschinkel(Princeton)May 20–25 Optimization Problems inFinancial Economics: A. Lazrak (UBC),J. Cvitanic (Southern California), N. Touzi(ENSAE Paris)May 27–June 1 Interfacial Dynamics inComplex Fluids: J.J. Feng (UBC), C. Liu (PennState)June 3–8 Modular Forms and String Duality:N. Yui (Queen’s), C. Doran (Columbia), H. Verrill(Louisiana State)June 10–15 Evolutionary Game Dynamics:K. Sigmund (Vienna), R. Cressman (Laurier),C. Taylor (Harvard)June 17–22 Creative Writing in Mathematicsand Science: M. Senechal (Smith College),C. Davis (Toronto), C. Holmes (Banff Centre),J. Zwicky (Victoria)June 24–29 Statistics at the Frontiers ofScience: G. Chen (Calgary), D. Brillinger(Berkeley), J. Fan (Princeton), J. Liu (Harvard),J. Ramsay (McGill), K. Worsley (McGill)July 1–6 PIMS/UNAM Summer School:A. Adem (UBC), J. Carrell (UBC), J. de la Pena(UNAM)July 8–13 Computational and StatisticalGenomics: S. Keles (Wisconsin, Madison),J. Bryan (UBC), S. Dudoit (Berkeley), K. Pollard(UC Santa Cruz), M. van der Laan (Berkeley)July 15–20 Statistical inference Problems inHigh Energy Physics and Astronomy: N. Reid(Toronto), J. Linnemann (Michigan State),L. Lyons (Oxford)July 22–27 Moduli spaces and combinatorics:J. Bryan (UBC), R. Kenyon (UBC), A. Okounkov(Princeton), R. Pandharipande (Princeton)July 29–Aug 3 Spin, Charge, and Topologyin Low Dimensions:  P. Stamp (UBC),V. Frolov (Alberta), G. Sawatzky (UBC),B. Spivak (Washington), W. Unruh (UBC),S. Zhang (Stanford)Aug 5–10 Measurable Dynamics, Theory andApplications: C. Bose (Victoria), P. Gora(Concordia), B. Hunt (Maryland), A. Quas(Memphis)Aug 12–17 Geometric and NonlinearAnalysis: F. Robert (UNSA), M. Gursky (NotreDame), E. Hebey (Cergy-Pontoise)Aug 19–24 Inverse Problems andApplications: G. Uhlmann (Washington),G. Margrave (Calgary)Aug 26–31 Recent Advances inComputational Complexity: V. Kabanets(SFU), S. Cook (Toronto), A. Gupta (MITACS),R. Impagliazzo (UC San Diego), M. Sudan(MIT), A. Wigderson (Princeton)Sept 2–7 Algebraic Groups, Quadratic Formsand Related Topics: A. Merkurjev (UCLA),V. Chernousov (Alberta), R. Elman (UCLA),J. Minac (Western Ontario), Z. Reichstein (UBC)Sept 9–14 Evolution of Microscopic andMacroscopic Fields: I.M. Sigal (Toronto andNotre Dame), J. Froehlich (ETH Zürich), A.Soffer (Rutgers), M. Weinstein (Columbia)Sept 16–21 Topics on von Neumann Algebras:J. Erlijman (Regina), W. Hans (UC San Diego)Sept 30–Oct 5 Mathematical Methods inComputer Vision: M. Jagersand (Alberta),D. Cobzas (INRIA Rhone-Alpes), A. Heyden(Lund), J. Little (UBC), P. Sturm (MOVI),B. Triggs (LEAR), S. Zucker (Yale)Oct 7–12 Positive Polynomials andOptimization: V. Powers (Emory), S. Kuhlman(Saskatchewan), S. Lall (Stanford), F. Sottile(Texas A&M)Oct 14–19 Syzygies and Hilbert Functions:I. Peeva (Cornell), M. Stillman (Cornell)Oct 21–26 Topological Graph Theory andCrossing Numbers: B. Mohar (SFU), J. Pach(Courant), B. Richter (Carleton), R. Thomas(Georgia Tech), C. Thomassen (Tech Denmark)Oct 28–Nov 2 Hyperbolic Systems ofConservation Laws and Related Problems:W. Craig (McMaster), K. Trivisa (Maryland),G.Q. Chen (Northwestern), C. Dafermos(Brown)Nov 4–9 A Workshop on Random Media:M. T. Barlow (UBC), E. Bolthausen (Zürich),A.-S. Sznitman (Zürich)Nov 11–16 Optimization and EngineeringApplications: T. Terlaky (McMaster), J. Peng(McMaster), R. Vabderbei (Princeton),H. Wolkowicz (Waterloo), Y. Ye (Stanford)Nov 18–23 Polynomials over Finite Fieldsand Applications: D. Panario (Carleton),I. Blake (Toronto), S. Cohen (Glasgow),G. Mullen (Penn State)Nov 25–30 MITACS Workshop on IndustrialMathematicsDec 2–7 Operator Methods in FractalAnalysis, Wavelets and Dynamical Systems:D. Kribs (Guelph), O. Bratteli (Oslo),P. Jorgensen (Iowa), G. Olafsson (LouisianaState), S. Silvestrov (Lund)Dec 9–14 Numerical Methods for DegenerateElliptic Equations and Applications:A. Oberman (SFU), L. Doron (Stanford),I. Mitchell (UBC), P. Souganidis (Texas, Austin)Vol. 9, Issue 122The Renaissance Banff Conference was comprisedof the 8th annual conference of Bridges: Mathemati-cal Connections in Art, Music, and Science, plus aspecial Coxeter Day commemorating the artisticside of the late Donald Coxeter.  It was held atBIRS, July 31–August 3, 2005.The Coxeter Day, organized in cooperation andwith the support of the Canadian MathematicalSociety, was about geometry-arts connections thatare either related to or inspired by the life and workRenaissance Banff: Bridges Conference & Coxeter DayReport by Reza Sarhangi, Towson University.  Captions provided by Robert Fathauer, The Tessellations Company.of Donald Coxeter.  H.S.M. (Donald) Coxeter wasone of the foremost geometers of the 20th century.His work and writing not only played a significantrole in mathematics, but also touched innumerablepeople in the arts and other areas of science.The Bridges Conferences, created in 1998 andrunning annually since, have provided a remark-able model of how divides between mathematics,art, and music can be crossed. Here practicing math-ematicians, scientists, artists, educators, musicians,writers, computer scientists, sculptures, dancers,weavers, and model builders have come together ina lively and highly charged atmosphere of mutualexchange and encouragement. Important compo-nents of these conferences, apart from formal pre-sentations, are gallery displays of visual art, work-ing sessions with practitioners and artists who arecrossing the mathematics-arts boundaries, andevening musical or theatrical events.Some comments the organizers received:“Now that I am home, I want to thank you andBIRS for hosting the Renaissance Banff conference(“Bridges” and Coxeter day) last week.  It was awonderful, rich experience at an outstanding loca-tion and the local arrangements were superb...  Theconference blended mathematics and art togetherjust as Banff itself does.  I hope you will considerhosting similar conferences in the future.”“...I found last week's conference one of themost interesting and enjoyable that I have attendedduring my lifetime—and I am now in my 80th year.”For more information please visit http://www.pims.math.ca/RenaissanceBanff/.A tribute to the late Donald Coxeter from theexhibition at the Renaissance Banff Conference..A zome model of a cantellated 600-cell, viewedalong a 3-fold axis.  For information about theconstruction, please see David Richter’s(Western Michigan University) webpage:http://homepages.wmich.edu/~drichter/bridgeszome2005.htm.“Looking for the Order” painted sphere by DickTermes (artist living in South Dakota).  Termes’painted spheres make use of six-point perspective.This work pays homage to Albert Einstein.  Thesphere demonstrates a statement by Einstein that ifyou could look far enough in one direction, youwould see the back of your own head.Set of fivesculpturescreated byBradfordHansen-Smith(business ownerliving in Illinois)by folding paperplates withoutcutting.“Cyclic Permutations” is a quilt by Gerda deVries (Professor of Mathematics, University ofAlberta).  This quilt explores permutations of thecoloring of a geometric design based on rightisoceles triangles.Wood sculture of a trefoil knot by Susan Greene(sculptor and retired research chemistliving in Virginia).Folded papermodel by UshioIkegami.  Thisfractal structureis created byOrigami-likefolding. Thediagram in frontof the pyramidshows the foldlines on a flatsheet of paper.Fall 2005 23PIMS Summer School: BREAD SummerSchool in Development EconomicsBIRS, June 25–July 1, 2005Contributed by Esther Duflo, Massachusetts Institute of TechnologyParticipants of the BREAD Summer School.Multimedia andMathematicsBIRS, July 23–28, 2005Contributed by Rabab Ward, Director, ICICS,University of British ColumbiaRabab Ward at theBIRS meeting.The Bureau for Research and Economic Analysis of Development(BREAD), in conjunction with PIMS, offered a BIRS summer schoolin development economics for PhD students, post-docs, and recentgraduates. The summer school introduced students to the mainconcepts in analytical development economics—methodological,theoretical, and empirical—as well as to a variety of statistical andmodelling tools.This was the first edition of the BREAD summer school, andthere were 37 participants (selected from over 150) from about 25universities in the US, Canada, and Europe.The organizers of the BREAD summer school were SiwanAnderson (UBC), Esther Duflo (MIT), and SendhilMullainathan (Harvard).Canada Won One Gold, Two Silver andTwo Bronze Medals at the 2005Mathematical OlympiadA BIRS workshop or-ganized by ICICS (theInstitute for Comput-ing, Information, andCognitive Systems atUBC) brought univer-sity and industry to-gether to share ideasabout the latest ad-vances in multimediaand mathematics.Multimedia technol-ogy affects the way we communicate, work, andplay. Its diverse applications include text, au-dio, speech, music, images, and video, as well assensor data, such as environmental measurementsfrom sensor networks, and biological data frommedical devices.The forty attendants (29 men and 11 women)were from Canada, UK, Australia and the USA.They were 6 graduate students and 26 facultymembers from 24 universities and 8 researchersfrom Microsoft, Apple, Hewlett Packard, TizMedia Foundation and NSF. The participantsdescribed the approaches, advances, and con-straints in their specific areas of media. With afocus on discovering common ground, they ex-plored the mathematical modelling, analysis, andrepresentation of the information in their respec-tive media fields. Their topics included coding,statistical learning, recognition, retrieval, signalprocessing, classification, segmentation, commu-nication, network coding, multimedia forensicsand security, human movements, and mobiledevices. Another discussion topic was the roleof multimedia in promoting mathematics amongu n d e r - r e p r e -sented minorities.From thisworkshop rich incross-ferti l iza-tion, participantsgained new in-sights into thepossibilities forsolving the latesttechnical chal-lenges.Canadian high school students won one gold medal, two silver, and two bronze medals at the 46thInternational Mathematical Olympiad (IMO), held from July 8-19, 2005 in Mérida, Mexico.The team attended a special IMO Training Camp at the University of Calgary from June 25–28before moving to BIRS to train until July 9. A send-off reception with friends, sponsors and invitedguests was held on June 28 at the University of Calgary.The six members of the 2005 Canadian IMO team were: Lin Fei (Don Mills Collegiate Institute,Toronto), Elyot Grant (Cameron Heights Collegiate Institute, Kitchener), Yang (Richard) Peng (VaughanRoad Academy, Toronto), Dong Uk (David) Rhee (McNally High School, Edmonton), Peng Shi (Sir JohnA. MacDonald Collegiate Institute, Toronto), and Yufei Zhao (Don Mills Collegiate Institute, Toronto),were selected from among more than 200,000 students who participated in local, provincial and nationalmathematics contests.The gold medal was awarded to Yufei Zhao, silver medals to Yang (Richard) Peng and Peng Shi, andbronze medals to Elyot Grant and Donk Uk (David) Rhee.The team was accompanied by the Team Leader, Felix Recio (U. Toronto), the Deputy Team Leader,Dorette Pronk (Dalhousie U.), and the Deputy Leader Observer, Adrian Tang (U. Calgary).The Canadian teamplaced 19th out of 91competing countries witha score of 132.  The top10 teams and their scoresare: China (235); USA(213); Russia (212); Iran(201); Korea (200); Roma-nia (191); Taiwan (190);Japan (188); Hungary(181); Ukraine (181).Since 1981, Canadianstudents have received atotal of 16 gold, 29 silver,and 57 bronze medals.The Canadian team at the send-off reception withMike Boorman (Dean of Science, U. Calgary).Vol. 9, Issue 1248th PIMS Graduate Industrial Mathematics Modelling CampUniversity of Lethbridge, May 7–11, 2005Contributed by Daya Gaur, University of LethbridgeSean Bohun’s group.Chris Bose’s group.Lou Fishman’s group.Daya Gaur’s group.The 8th Annual PIMS Graduate IndustrialMathematics Modelling Camp (GIMMC) washeld at the University of Lethbridge May 7–11, 2005.  Thirty-three students from allacross Canada and USA participated in thecamp.  GIMMC provides the students in math-ematical sciences with an opportunity to learnmathematical modelling techniques under theguidance of the experts, and is the first leg ofthe PIMS Industrial Mathematics forum. Aforum that includes the Industrial ProblemSolving Workshop (IPSW).The organizing committee consisted ofElena Braverman (University of Calgary)and Hadi Kharaghani  (University ofLethbridge).On the morning of the 8th,  the mentorspresented the problems, and subsequentlyguided their groups to a resolution. At the endeach group presented their work. The presen-tations are available in video at http://w w w.p ims .math . ca / indus tr ia l / 2005 /05gimmc/.  The proceedings based on thewritten reports is to be published and will beavailable at the above site too.The Mentors and the problems were:C. Sean Bohun (Pennsylvania State Univer-sity): Modelling a Stirling engineThe group modelled the operation of the HeatEconomiser, patented by Rev. Robert Stirlingin 1816. This is an example of an engine thatis externally heated and as a result, it can beoperated with any fuel that can provide a tem-perature differential. It has the added advan-tage that it is very quiet when operated. Inaddition, by applying an external mechanicalmotion, this engine can act as either a heateror cooler. This engine is used as a cryocoolerfor image sensors in weather satellites.Chris Bose (University of Victoria): A dy-namic model for the rotary rock drillThe group developed a model of the tri-conedrill, a type of simple rock drill that is usedwidely.  The following factors were taken intoaccount; the applied force, the weight of the drilland rotating machinery, the geometry of the drillhead, chipping points, and the angular speed ofrotation of the drill.  In order to deal with thechaotic mode of operation a discrete-time dy-namical system model was chosen.Lou Fishman (MDF International): PhaseSpace, Path Integral, Invariant Imbedding, andDirichlet-to-Neumann Operator Methods inSeismo-Acoustic Wave Propagation with Ap-plication to Imaging and InversionThe group addressed Seismo-acoustic wavepropagation modelling in complex, layered en-vironments extending over very large domains.They developed an extension of Fourier analy-sis for the solution of the wave equation witha non-constant coefficient corresponding toan inhomogeneous medium. A marching algo-rithm that incorporates the backward scatter-ing into the evolution of the wave was devel-oped by exploiting the underlying physics ofthe problem.Daya Gaur (University of Lethbridge): Prob-lems in facility location optimizationTypical problems in facility location optimi-zation include placement of factories, ware-houses, schools, ATM machines and proxyservers in content distribution networks onthe internet. The group examined  approxima-tion algorithms, based on the primal-dualschema,  for two variants of the facility loca-tion problem.GIMMC was sponsored by PIMS, iCORE,Alberta Innovation and Science, and the Uni-versity of Lethbridge.For further information please see http://w w w.p ims .math . ca / indus tr ia l / 2005 /05gimmc/.Fall 2005 259th PIMS Industrial Problem Solving WorkshopUniversity of Calgary, May 15–19, 2005Contributed by Elena Braverman, University of CalgaryThe 9th Annual PIMS Industrial Problem Solv-ing Workshop (IPSW) was sponsored by PIMS,Alberta Innovation and Science, iCORE and theUniversity of Calgary.  Participants from allacross Canada (from Memorial University at St.John's, NL, in the east to the University ofVictoria in the west) and the United States ar-rived to take part in the workshop.  The eventwas preceded by the 8th PIMS GIMMC, wherethe graduate student IPSW participants had al-ready mastered some mathematical modellingtechniques under the guidance of experts.The IPSW organizing committee consistedof Elena Braverman and Gary Margrave (bothfrom U. Calgary).In the morning of May 15 industrial prob-lems were presented. During four subsequentdays forty students, about twelve professionalacademics and four industry representativesworked in collaboration to resolve these prob-lems. Final presentations on May 19 outlinedthe progress achieved in all five problems.The five problems and presenters were:Donald M. Henderson (Verterbrate Mor-phology and Palaeontology Research Group,U. Calgary, in collaboration with Royal TyrrellMuseum of Palaeontology, Drumheller): Mod-els of the mechanics and dynamics of dinosaurtailsThe group investigated the motion and oscilla-tions of the tails of dinosaurs. Unlike mammals,dinosaurs had tails which represented a substan-tial fraction of their body lengths and masses. Itis expected that the movement of the body ledto tail oscillations; tail movements could be alsoessential for balance purposes. The extreme sizesof some dinosaurs (up to 30 tonnes in somecases) and the great range of body sizes (from afew hundred grams to many tonnes) makes theminsightful models for the study of locomotorydynamics in terrestrial animals.  The results mayalso differ between four-legged and two-leggeddinosaurs.The group developed four approaches to theproblem: the dimensional analysis of the prob-lem, the discrete approach (representing adinosaur's body as a collection of “moving con-nected cylindrical slices”), considered a tail asan elastic beam and the equal arc-length approach(which, unlike a stiff beam, imposed only thecondition that the length of the tail be preserved).Gerald K. Cole (Human Performance LaboratoryFaculty of Kinesiology, U. Calgary, in collabora-tion with CEO, Biomechanigg Research Inc. whichworked with Adidas): Designing running shoesA robotic system was developed to replicatethe mechanics of the contact between the shoeand the ground during human locomotion.  Thesystem has six degrees of freedom; the input tothe system is the movement of the platform, theoutputs are the force and the momentum actingon the foot over time.  The purpose was todevelop a method which can identify the 3-Dmovement path of the platform that is requiredto produce a specified time profile of force andmoment acting on the foot.Using local linearization and PDE ap-proaches, considering path optimization, theproblem solution was advanced. The group alsonoted that irreversibility and robustness of thesystem should be analyzed.Pierre Lemire and Rob Pinnegar (Calgary Sci-entific): Identification of seismic layers using clas-sification of pixels’ local spectraThe global objective of the project was to iden-tify layers in seismic pseudo-sections which iscrucial in oil field analysis.  Under the approachwhich is currently being developed by CalgaryScientific, pixels are classified based on theirlocal characteristics.  The local spectrum of eachpoint of a 2-D image is obtained by S-trans-form. However the classification technique in-volved finding a dominant peak in each localspectrum. This method was not satisfactory,because the feature of interest does not neces-sarily dominate at every pixel. Thus second-larg-est and third-largest peaks may also be signifi-cant. The problem stated for the workshop was tofind ways of identifying these secondary peaks.The development was in three directions:application of slicing methods (which works wellwhen the local spectra is smooth), cluster analy-sis and a subtraction technique which identifiedand subtracted the highest peak, then proceededto the next one, etc.Brad Bondy (Genus Capital Management,Vancouver): Adaptive statistical evaluation toolsfor equity ranking modelsA major challenge in investment management isto identify stocks that are likely to outperformin the future. To this end the factors which areassociated with future out-performance (likeearnings-to-price ratio, dividend yield, etc.) arechosen; the “best” factors are incorporated intoa model which we use to rank our universe ofThe IPSW 2005 participants.“Beckham’s New Boots...”On June 2, 2005, the Canadian newspaper theGlobe and Mail featured an article Beckham’snew boots got their kick-start in Calgary in itsSports section.The article is about Dr. Gerald Cole, one ofthe mentors at this year’s IPSW workshop,work on the design of a new soccer shoe, nowbeing promoted by Adidas and soccer star DavidBeckham. The IPSW problem was about con-trolling a robotic platform for testing these kindsof shoes.continues on next pageVol. 9, Issue 1262011 ICIAM to beHeld in VancouverReprinted from the June 2005 edition of theMITACS newsletter, Connections.The combined efforts of CAIMS (the CanadianApplied and Industrial Mathematics Society),MITACS and SIAM (the Society for Industrialand Applied Mathematics in the US) have re-sulted in Vancouver being awarded the bid tohost the 7th International Congress on Industrialand Applied Mathematics conference, orICIAM, from July 18–22, 2011.Occurring every four years, ICIAM is thelargest international conference in applied math-ematics, attended by more than 2000 attendees.The conference attracts high profile, internation-ally renowned speakers and aims to promoteindustrial and applied mathematics globally, aswell as encourage interactions between membersocieties and countries to further internationalcollaboration.CAIMS, MITACS and SIAM are developingan innovative programme for ICIAM 2011 thatwill include an integrated industry programme high-lighting the many contributions of applied and in-dustrial mathematics to industry.  There will besessions specifically targeted to industry partici-pants, graduate students, academics and the publicat large.  A particular commitment by all three part-ners is ensuring strong participation by scientistsfrom developing countries.The president of ICIAM 2011 will be ArvindGupta, Scientific Director of MITACS who willchair the organizing committee. The scientificprogramme committee will be co-chaired by IvarEkeland, Director of the PIMS and JerroldMarsden, a professor at the California Instituteof Technology.  As well, North American math-ematical sciences institutes, professional soci-eties and universities have shown strong sup-port and willingness to help ensure that ICIAM2011 is an outstanding event. Nigel Lloyd (Executive Vice-President, NSERC), Tom Brzustowski (President, NSERC) and NassifGhoussoub (Scientific Director, BIRS).A PIMS-MITACS Two-DayMinicourse in Financial Economicswas held at PIMS-UBC, July 4–5,2005. Elyes Jouini (U. ParisDauphine) gave a series of fourlectures on Equilibrium models withbeliefs heterogeneity.  The photoshows Ivar Ekeland (PIMS), ElyesJouini (U. Paris Dauphine), AliLazrak (Sauder School of Business,UBC) and Calvin Winter (Alpha LakeFinancial Analytics).stocks.  These models need to be adaptive, inorder to avoid the risk of delaying introductionof a new factor until the market has alreadycleaned it out.  The problem for IPSW was torecommend adaptive statistical evaluation toolsto dynamically update the models.Using the genetic optimization (where theperformance of the portfolio is to be optimized),the constrained regression approach and an arti-ficial Neural Network, the group obtained prom-ising results outperforming the benchmark (es-pecially with the first and the second methods).Brian Russell (Hampson-Russell Software, aVeritas Company, Alberta): Seismic predictionof reservoir parametersAssuming  there is a set of multivariate observa-tions (which is a set of seismic attribute values),it is necessary to find an approximating func-tion which is the closest to the data in the senseof the least-squares criterion. The analysis isdone for various types of data corresponding todifferent wells.Several parametric and non-parametric ap-proaches were suggested, among which the splinemethod outperformed the others.More information, including the final presenta-tions, is available at http://www.pims.math.ca/in-dustrial/2005/05ipsw/.Honouring Tom BrzustowskiContributed by Megan Airton, Communications Director, MITACSOn May 13, 2005, at the MITACS Annual Conference, a banquet was jointlyheld by MITACS, PIMS, the Fields Institute and CRM in honour of Dr. TomBrzustowski on the occasion of his retirement from NSERC.Dr. Brzustowski, in his 10 years as President of NSERC, championed the importance of invest-ing in research at Canadian universities and institutes and was renowned for fostering the spirit ofinnovation.The festivities began with emcee Nassif Ghoussoub (Scientific Director, BIRS) recollecting Dr.Brzustowski’s key role in advancing the Canadian mathematics community by supporting suchinitiatives as the MITACS funding application and the creation of PIMS and BIRS.The banquet included tributes from Barbara Lee Keyfitz (Director, Fields Institute), NigelLloyd (Executive Vice-President, NSERC), Francois Lalonde (Director, CRM), Michael Stevenson(President & Vice-Chancellor, SFU), Ivar Ekeland (Director, PIMS), William Rundell (Director ofthe Division of Mathematical Sciences, US NSF) and Harvey Weingarten (President & Vice-Chan-cellor, U. Calgary). Each of the speakers expressed appreciation for Dr. Brzustowski's leadership,vision and commitment and wished him well in his future endeavours.MITACS NewsIPSW 2005, continued from page 25Fall 2005 27PIMS Education Day 2005Contributed by Chris Bose, PIMS Site Director, University of VictoriaOn June 1, approximately 40 academics and edu-cators, along with university and governmentadministrators, met at the University of Victoriafor the first annual PIMS Education Day.Two keynote speakers addressed the groupduring the morning session. George Bluman (UBC)is well-known throughout North America for hispassionate views on mathematics and education.George gave the audience a broad view of BC andCanadian Mathematics Education, both past andpresent, as well as numerous reasons to have hopefor the future. Our second keynote speaker wasHon. Ida Chong, Minister of Advanced Educationfor BC. Minister Chong recognizes the importanceof numeracy and mathematical literacy, and left nodoubt about the BC government’s commitment tocontinue improving science and technology train-ing over the next few years.The event included the presentation of the2005 PIMS Education Prizes, generously fundedthis year by Hugh Morris of Padre ResourceManagement. The awards were presented byDr. Richard Keeler (Associate Vice-PresidentResearch, U. Victoria), who also spoke abouteach of the awardees and their accomplishments.The prize winners were David Leeming, Uni-versity of Victoria, and Jim Morrow, Universityof Washington.David Leeming’s award recognized his de-cades of service to university and high-schooleducation. Highlights include Math Mania, FirstNations Educational Initiatives and editorshipof Pi in the Sky, the popular PIMS magazineaimed at high-school students.Jim Morrow’s accomplishments have won himnumerous accolades from colleagues and the me-dia. Highlights include MATHDAY at the Univer-sity of Washington, coaching UW’s winning mathmodelling teams and the Summer Math Institutefor high-school students. Jim was also a key figurein the highly regarded UW initiated and NSF-fundedDavid Leeming (U. Victoria) and  Jim Morrow(U. Washington), winners of the 2005 PIMSEducation Prizes.Research Experience for Undergraduates.We hope to see you at the Second AnnualEducation Day next year.To view video segments of the event pleaseconsult the PIMS web site.Richard Keeler (Associate VP Research,U. Victoria), Hugh Morris (Padre ResourceManagement), and Jim Morrow (U. Washington)as he was presented with his prize.Ida Chong, at the 2005PIMS Education Day.She was the BC Ministerof Advanced Educationat the time of the event.PIMS Collaborates with First Nations Communities in BCContributed by Melania Alvarez-Adem, BC Education Coordinator, PIMSJUMP UpdateIn 2005 PIMS is continuing to supportJUMP (Junior Undiscovered Math Prodigies).On April 21 John Mighton (JUMP) cameto PIMS-UBC for a feedback and questionsession.  It was attended by teachers and tu-tors who are currently implementing theJUMP programme.  Another session was heldon August 31. PIMS is forming new and varied partnershipswith the First Nations Education Steering Com-mittee (FNESC) in BC.David Leeming represented PIMS at the 10thAnnual Provincial Conference on Aboriginal Edu-cation in Vancouver, November 6–8, 2004, wherehe held Math Mania worshops involving dem-onstrations and training sessions.Math Mania went to the First Nations Com-munity of Agassiz at Seabird Island CommunitySchool on February 18, 2005.On May 26–27 FNESC, in collaboration withPIMS, held a Vancouver workshop for elemen-tary and secondary teachers and principals ofFirst Nations schools.PIMS organized teacher training, August 22–26,2005, in Kamloops at Sk’elep School of Excellence.The Error Correction Game, Agassiz Math Mania.Got Your Goat at the Agassiz Math Mania event.A mentorship programme is being set up forFirst Nations students with math undergraduatestudents from Thompson Rivers University.This pilot teacher training and mentorshipprogramme is possible due to donations by HaigFarris (Fractal Capital Corp), Andrew and HelenWright (Willow Grove Foundation), and Dr. KenSpencer (co-Founder & ex-CEO, CREO).Thank you to Hugh Morris (PadreResource Management) for funding the2005 PIMS Education Prizes.Vol. 9, Issue 128This year’s Forever Annual Math Exhibition (FAME) was held at S. J. Willis Auditorium on May17.  There were 10 senior entries, 5 middle school entries, and 22 elementary and a total of 69students. The six schools involved were: Lambrick Park (10) , Arbutus (3), Hillcrest (10), FrankHobbs (12), Campus View (1) and Craigflower (1).   Their number of entries appears in brackets.There were 12 distinction awards (scores 90% +):Elementary: Hillcrest (2), Campus View (1), Frank Hobbs (3).Middle School: Arbutus (2), Hillcrest (1).Senior: Lambrick Park (3).The winning schools were Frank Hobbs (elementary), Arbutus (middle) and Lambrick Park (senior).The 7th Annual PIMS Elementary Grades MathContest (ELMACON) took place at UBC onSaturday April 30.  It was the most successfulyet, with over 300 students participating, arecord number. This year ELMACON was com-bined with a Math Mania event which involvesfun methods of teaching math and computer sci-ence concepts to children (and adults!). Gamesand art are used and there are lots of hands-onactivities.ELMACON is open to BC Lower Mainlandstudents in Grades 5 to 7. It gives them a chanceto experience mathematics as an exciting sport.ELMACON consists of three rounds startingwith the written component, the Sprint and Tar-get rounds. The top 10 students in each grade goon to the Countdown round where contestants‘duel’ against each other. It starts with the 9thand 10th ranking contestants, and the winner ofthat contest goes on to ‘duel’ the 8th place holder.So the contestant who is ranked 10th after thefirst two rounds has the potential of winningthe contest by beating the 9 contestants aheadof him/her. The dueling consists of answeringmath questions against the clock and sounding abuzzer.The Sorting Network from the Math Mania eventheld during ELMACON.The top 10 ELMACON winners from each grade with Ivar Ekeland (PIMS Director).BC Science Fair: Workshops and PIMS PrizesContributed by Melania Alvarez-Adem, BC Education Coordinator, PIMSThe BC Science Fair was held at UBC, April 7–9, 2005.  It was followed by the Canada Wide Science Fair at UBC, May 15–22, 2005.PIMS held two presentation workshops for grade 7, 8 and 9 stu-dents attending these science fairs.  The workshops took place onApril 8 and May 16.Mark Maclean (Science One, UBC) ran Bubbles and Topology ses-sions.  Maple: Where Mathematics Meets Technology sessions werepresented by Veselin Jungic & Mohammad Ali Ebrahimi.At the regional science fair PIMS presented awards in the mathemati-cal sciences division.  For the Best Pure Math project Elizabeth Du(Churchill) recieved a cash prize of $100.  In the Applied Math sectionJennifer Loong (York House) and Gary Hou (Robert A. McMath) re-ceived prizes of $200 and $100 respectively.For the full report on the 2005 contest, in-cluding the list of top 10 winners, please seehttp: / /www.pims.math.ca /The_news/Latest_News/ELMACON_2005.PIMS would like to extend a huge thank youto Joshua Keshet, Cary Chien, KlausHoeschmann, Natasa Sirotic, Ilija Katic, Eliza-beth Towers, Wendy Dorn, Maggie Wojtarowicz,and Sylvia Chan, for preparing the contests’questions, overseeing the marking of the testsand proctoring the contest. And additional heartfelt thanks to David Leeming and Kelly Choo forcoming from Victoria to run the Math Mania ses-sion.  We also would like to thank all the volunteersthat helped out on the day. We could not run thecontest without you!ELMACON 2005Scenes from the BC Science Fair Bubble and Topology workshop whichtook place at PIMS.FAME 2005Contributed by Wendy Swonnell, Lambrick Park Secondary School, VictoriaThe FAME 2005 senior winners from LambrickPark School.Fall 2005 29Alberta Colleges Mathematics Conference and the5th Annual North-South Dialog in MathematicsThe 2005 Alberta College Mathematics Conference tookplace on April 29 at Grant MacEwan College in down-town Edmonton.  It was a very informative conferenceabout the teaching issues specific to the colleges andtheir math course offerings.The 5th Annual North/South Dialog was sponsored by PIMS and it took place on April 30and May 1 at the same location. The morning sessions included curriculum reports while theafternoon sessions were devoted to research talks.  The kenote address was given by LeoNeufeld (U. Victoria) and was on BC Common Curriculum Eliminates Transfer Evaluations.For more information please see http://www.artsci.macewan.ca/NorthSouthMath2005/.Math in Budapest with Art History: A University of CalgaryCredit Travel Study ProgrammeA group of students from the University of Calgary, either from the Department of Mathematics and Statistics or fromthe Engineering Faculty, traveled to Budapest, Hungary as part of a Credit Travel Study Program, arriving at the end ofMay 2005 and studying for the month of June. The Group Leader was Marguerite Fenyvesi, and the Instructors wereYousry Elsabrouty for AMAT 307/311 – Differential Equations, and from Hungary Karoly Boroczky Jr. for MATH311 – Linear Methods II and Janos Szirmai with Gabriella Szigethy for ARTH 205 – Art History. Marton Naszodi wasthe mathematics tutorial instructor. The students all took two of the three courses offered.For a full report, by Marguerite Fenyvesi, please see http://www.pims.math.ca/education/2005/05budapest/Budapest_Report.pdf. Participants in Budapest.Changing the Culture 2005: Mathematics for All?Contributed by Malgorzata Dubiel, Simon Fraser UniversityThe 8th Annual Changing the Culture Conference again brought together mathematicians, math-ematics educators and school teachers from all levels, to work together towards improving teachingof mathematics.  It took place at the SFU Harbour Centre on April 22.Keith Devlin (Stanford) gave a public lecture on The Math Instinct: The amazing mathematicalabilities of animals, birds, insects, and babies, and what we can learn from them.  Philip Loewen(UBC), the receipient of the 2005 CMS Excellence in Teaching Award, gave a talk on InspiringStudents in Mathematics Classrooms.Rina Zazkis, Tanya Berezovski, Calin Lucus and Natasa Sirotich (SFU) spoke aboutUnderstanding Mathematical Concepts. The conference also included two workshops and a paneldiscussion.For more information see http://www.pims.math.ca/education/2005/05ctc/.The participants of the 2005 ESSO–CMS–PIMS Math Camp which washeld at SFU, June 27–30, 2005.These math camps are designed toprovide high-school students, whohave demonstrated a talent formathematics, with a variety ofenrichment activities in a fun andrewarding environment. This year,35 participants were selected outof a record 90 applications. Thestudents attended exciting talks andproblem solving sessions.  For thefirst time, their teachers were also invited to a special talk and an afternoon reception.  For moreinformation, see the camp website: http://www.cecm.sfu.ca/~lisonek/MathCamp.htm.The picture on the cover of the December2004 issue of Pi in the Sky was created byCzech artist Gabriela Novakova.  Thescene depicted was inspired by the ar-ticle by Marjorie Wonham on The Math-ematics of Mosquitoes and West Nile Vi-rus.  The article is part of the theme Math-ematical Models and Infectious DiseaseDynamics. Other related articles relatedto this theme are What does Mathematicshave to do with SARS? by Fred Brauer,and Mathematical Modelling of RecurrentEpidemics by David J. D. Earn.The issue also includes the editorialOn Being the Right Weight by KlausHoechsmann, Cid, Bru, One by JeremyTatum, Kolmogorov, Turbulence, andBritish Columbia by Bob Stewart andChris Garrett, and Tribonacci in the Sky:A Mathematical Mountain Walk by AchimClausing.The next issue of Pi in the Sky maga-zine will be out in the fall.Vol. 9, Issue 130These summer workshops aim to introducestudents to mathematical modelling and analy-sis applied to real biological systems. Throughlectures and exercises, students are introducedto various techniques of mathematical mod-elling (discrete models, ODEs, PDEs, stochas-tic models). With a self-guided tutorial the stu-dents learn how to use Maple to simulate math-ematical models and relate them to biologicaldata. Through projects, teams of 2–3 studentsexperience the modeling process. This year,students worked on the following projects:• HIV in Cuba 1986-2000• Cholera in South Africa 2000/01• Extinction of a Wolf Population in Sweden 1991• Growth of Cell Populations• Cell Competition• Pupil Control• Radiation Treatment of CancerThe workshop ran from May 2–12, a total ofeleven days.  The first set of 5 days includedlectures and exercises, and the self-guided Maple tutorial. Then we hadone day off and a second set of 5 days,where students worked on projects andpresentations.  The workshop was heldat the Centre for Mathematical Biol-ogy at the University of Alberta.The workshop was attended by 14students from all over Canada. Typi-cal students had completed 2–3 yearsof undergraduate study in mathemat-ics or a similar quantitative science.Some graduate students in biologicaland medical sciences interested in mathematicalmodelling attended the workshop.  All studentsreceived a scholarship to cover registration, partof the travel expenses and accommodation.The instructors were: Thomas Hillen (As-sociate Professor, U. Alberta), Mark Lewis(Canada Research Chair in Mathematical Biol-ogy, U.Alberta), Frithjof Lutscher (PIMS PDF,U. Alberta & U. Calgary),Alex Potapov (ResearchAssociate, U. Alberta) andRebecca Tyson (Assis-tant Professor, OkanaganUniversity College).  Wewere proud to have as theguest lecturer MichaelMackey (McGill).This workshop is an ac-tivity of the PIMS Collabo-rative Research Group onMathematical Ecology andEvolution. It was supportedby PIMS, ASRA (AlbertaThe instructors (l–r): Mark Lewis, Rebecca Tyson,Thomas Hillen, Alex Potapov, Frithjof Lutscher.Participants in the Mathematics of Biological Systems4th Annual PIMS-ASRA Mathematical Biology Summer Workshop.Innovation and Science), the Department of Math-ematical and Statistical Sciences University ofAlberta and the CMS (Canadian Mathematical So-ciety).The project presentations can be found atw w w. m a t h . u a l b e r t a . c a / ~ m a t h b i o /summerworkshop.Some of the students comments from previ-ous years:“I think the biggest thing I got out of the work-shop was an appreciation of the wide variety ofmodeling applications (especially through theprojects) and also the immense power of a rela-tively limited set of techniques.”“This workshop not only helped me to gainexperience in Mathematical Biology, but also todecide my direction in my academic career.”“It gave me a good overall look at mathmodeling... I now know what a mathematicalmodel is. It’s a phrase I hear a lot, but wasn’texactly sure what that meant. I also now have aclearer vision of a direction that I’d like to takein graduate studies.”Mathematics of Biological Systems 2005: 4th AnnualPIMS-ASRA Mathematical Biology Summer WorkshopContributed by Thomas Hillen, University of AlbertaConnecting Women in Math Across Canada IIContributed by Malgorzata Dubiel, Simon Fraser UniversityThe CMS Committee for Women in Mathemat-ics, in cooperation with PIMS and BIRSorganizied the 2005 Connecting Women in MathAcross Canada (CWiMAC) workshop forwomen graduate students in the mathematicalsciences at Canadian universities.  It took placeat BIRS from July 21–23, 2005.  It was designedto continue the work started by the very suc-cessful CWiMAC which took place June 12–13, 2003, at the University of Alberta.The thirty participants attended two plenarytalks in mathematics, given by Barbara Keyfitz(Fields Institute) and Neeza Thandi (actuary),and panel and small group discussions. Eachparticipant gave a 20 minute presentation ontheir research interests or presented a poster.The CWiMAC workshops are intended tobe an integral part of developing a mentoringnetwork to help young women interested inpursuing research in the mathematical sciences,by giving them opportunity to meet womenmathematicians working at Canadian and USuniversities. They also have the opportunity topresent their research to a peer group, as well aslearn various career strategies: how to present apaper, how to organize their research goals, etc.They are able to meet other women graduatestudents from across Canada and from Washing-ton State, and share their experiences.The organizers of the 2005 workshop wereJudith McDonald (Washington State Univer-sity), Malgorzata Dubiel (SFU), RachelKuske (UBC) and Gerda de Vries (U. Alberta).Fall 2005 31The Alberta Conference for Young Researchersin Mathematics is an event established to pro-mote the research of graduate students and en-courage collaboration amongst graduate studentsin Alberta. The 2005 conference was a tremen-dous success. Graduate students from the Uni-versity of Calgary and the University of Albertacame together on April 9 and 10 to present theirresearch and collaborate. This is the second yearthat this conference has been held. In 2004, theUniversity of Alberta hosted, and so it was fit-ting that this year the host was the Universityof Calgary.This conference strengthened the academicties between the universities in Alberta by get-ting the young researchers in this province talk-ing to each other. To inspire the collaborativeprocess, students from each university learnedabout what other students were researching.Eighty-three students attended and more thana third of these students gave presentations. Infact, 32 very enthusiastic young researchers gaveGraduate students at the Alberta Conference forYoung Researchers in Mathematics.Alberta Conference for Young Researchers in MathematicsContributed by the organizer Peter Papez, University of Calgarypassionate presentations about their work. Theypresented in the following disciplines: algebra,number theory, cryptography, discrete geometry,convex geometry, topology, differential equa-tions, financial mathematics and statistics, toname just a few. In total there were 18 hours ofpresentations squeezed into two short days. Byscheduling three concurrent sections, everyonewho had the desire to give a presentation wasable to do so. Each section was completely fulland there was not even a minute to spare, any-where. Organizers divided the three sections intocategories by general area of interest: Pure Math/Applied Math, Applied Math/Differential Equa-tions, and Financial Math/Statistics. This waystudents could attend talks suited to their ownresearch interests. This was a good arrangementand all three sections ran at full capacity.One example of collaboration witnessed atthe conference involved the geometry studentsfrom the University of Alberta and the Univer-sity of Calgary. The students from each univer-AARMS Summer School 2004Contributed by Hermann Brunner, Director of AARMSThe annual AARMS (Atlantic Association for Research in the Mathematical Sciences) Summer School was held for the third year in a row at MemorialUniversity in St. John’s from July 12 to August 6, 2004.Four courses were offered: Number Theory by Michael Bennett (UBC), Number Theoretic Cryptology by Renate Scheidler (U. Calgary),Statistical Genomics by Priscilla Greenwood (Arizona State and UBC), and Mathematical Biology by Brian Sleeman (Leeds, UK).While still in its infancy, the AARMS Summer School is becoming increasingly well known.  We had over 100 applications and accepted 30 studentsfrom Austria, Croatia, Italy, Poland, Romania, Turkey and Spain, as well as the U.S. and Canada (six provinces).AARMS activities are funded by Dalhousie University, the University of New Brunswick, Memorial University, Acadia University, and the threeCanadian mathematics institutes, the Fields Institute, the Centre de Recherches Mathematiques and PIMS.  Again, we acknowledge with gratitude thefinancial support from the Student Committee of the Canadian Mathematical Society, from MITACS, and from Aliant, Atlantic Canada’s telecommu-nications company. In addition, AARMS is grateful for the support we received from the Centre for Information Security and Cryptography at theUniversity of Calgary.We encourage all readers of the PIMS Magazine to send students to next year’s AARMS Summer School. The school has a web site at http://www.math.mun.ca/~aarms/summerschools.Photos from the 2004 AARMS Summer School at Memorial University, St. John’s.sity attended the talks of their counterparts fromthe other university.  They discussed the differ-ent techniques of research the two universitiesuse.  At the University of Alberta, researchersemploy statistical methods, whereas at the Uni-versity of Calgary computational methods areused.  Both universities have a very successfulprogramme, but the methods utilized are verydistinct.  By discussing the different techniques,various problems that each group was exploringindependently seemed solvable by using theother school’s methods.PIMS Contact ListDirector: Ivar EkelandAdmin. Asst: Danny Fant/ 604.822.9328 f/ 822.0883 e/ director@pims.math.caDeputy Director: Alejandro Ademt/ 604.822.4467 f/ 822.0883 e/ adem@pims.math.caSFU Site Director: Rustum ChoksiAdmin. Asst: Margaret Gardinert/ 604.268.6655 f/ 268-6657 e/ sfu@pims.math.caU. Alberta Site Director: Gerald CliffAdmin. Asst: Dana McCallumt/ 780.492.4217 f/ 492-1361 e/ ua@pims.math.caU. Calgary Site Director: Gemai ChenAdmin. Asst: Marian Milest/ 403.220.3951 f/ 282.5150 e/ uc@pims.math.caU. Victoria Site Director: Chris BoseAdmin. Asst: Dil Bainst/ 250.472.4271 f/ 721.8962 e/ uvic@pims.math.caU. Washington Site Director: Gunther UhlmannAdmin. Asst: Mary Sheetzt/ 206.543.1150 f/ 543.0397 e/ uw@pims.math.caChief Operations Officer: Shelley Alvaradot/ 604.822.1369 f/ 822.0883 e/ alvarado@pims.math.caAdministrator: Fanny Luit/ 604.822.1522 f/ 822.0883 e/ fanny@pims.math.caCommunications Manager: Heather Jenkinst/ 604.822.0402 f/ 822.0883 e/ heather@pims.math.caProgramme Coordinator: Ken Leungt/ 604.822.3611 f/ 822.0883 e/ kleung@pims.math.caFinancial Officer: Chee Hung Chowt/ 604.822.6851 f/ 822.0883 e/ chee@pims.math.caBC Education Coordinator: Melania Alvarez-Ademt/ 604.822.0404 f/ 822.0883 e/ melania@pims.math.caIndustrial Coordinator: Gary Margravet/ 403.220.4606 f/ 284.0074 e/ margrave@ucalgary.caEducation Facilitator: Klaus Hoechsmannt/ 604.822.3922 f/ 822.0883 e/ hoek@pims.math.caMITACS Administrator at PIMS-UBC: Clarina Chant/ 604.822.0401 f/ 822.0883 e/ clarina@pims.math.caManager, Computer Systems: Brent Kearneyt/ 403.763.6997 f/ 763.6990 e/ brentk@pims.math.caWebsite Manager: Kelly Choot/ 250.472.4927 f/ 721.8962 e/ chook@pims.math.caComputer Systems Administrator: Shervin Teymourit/ 604.822.3469 f/ 822.0883 e/ shervin@pims.math.caPIMS-SFU/MITACS Computer Systems Administrator:Shahin Teymourit/ 604.268.6701 f/ 268.6657 e/ shahin@pims.math.caBIRS Contact ListBIRS Scientific Director: Nassif Ghoussoubt/ 604.822.1649 f/ 822.0883 e/ nassif@pims.math.caBIRS Managing Director: Shelley Alvaradot/ 604.822.1369 f/ 822.0883 e/ alvarado@pims.math.caBIRS Station Manager: Brenda Shakotkot/ 403.763.6999 f/ 763.6990 e/ birsmgr@pims.math.caBIRS Programme Coordinator: Kathryn Woodt/ 604.822.5213 f/ 822.0883 e/ birs@pims.math.caBIRS Administrative Assistant: Natalia Gartleyt/ 250.472.4271 f/ 721.8962 e/ birs@pims.math.caBIRS Secretary: Danny Fant/ 604.822.1694 f/ 822.0883 e/ birs-secretary@pims.math.caBIRS Systems Administrator: Brent Kearneyt/ 403.763.6997 f/ 763.6990 e/ brentk@pims.math.caDo we have yourcorrect mailing address? Are we sending you anappropriate number of copies?If not, please e-mail  pims@pims.math.ca.Editors: Heather Jenkins and Stefanie Krzak.This newsletter is available on the web at www.pims.math.ca/Publications_and_Videos/PIMS_Magazines/.PIMS is supported by: The Natural Sciences and Engineering Research Council of Canada The Government of the Province of Alberta The Government of the Province of British Columbia Simon Fraser University  University of Victoria University of Alberta  University of Washington University of British Columbia  University of Lethbridge University of Calgary  University of ReginaShaun Fallat, U. Regina.University of Regina.The Department of Mathematics and Statistics at the Uni-versity of Regina offers degrees in mathematics, statistics andactuarial science.  With 26 faculty members it is the largestmathematics department of the three universities in the prov-ince of Saskatchewan. The principal areas of research are alge-bra and number theory, discrete mathematics, geometry andtopology, linear algebra, operator algebras, and probabilitytheory and statistics. The department also has a variety of outreach activities including anannual math camp, the Saskatchewan Math Challenge — a contest for grades 8–10 studentsand Math Central, a collection of Internet services for the K–12 mathematics community.For more information about the department please see http://www.math.uregina.ca/.University of Regina joins PIMS, continued from front cover.PIMS Fund Drive 2005As you will have read in this newsletter, PIMS is involved in promoting the mathematicalsciences through a wide range of activities. However, we have a limited budget for carryingout projects connected to important areas such as mathematics education. Private donorscan make a huge difference here. For example, this past year generous gifts by donors madeit possible for us to initiate a partnership with a First Nations school in Kamloops BC (seearticle on page 27) and develop a mentorship programme involving undergraduates atThompson Rivers University.I would like to take this opportunity to ask readers of this newsletter to consider making adonation to PIMS. This extra support can go a long way towards helping us link our institute tocommunities in Western Canada where we feel that PIMS can make a difference.Please make your cheque payable to Pacific Institute for the Mathematical Sciences,1933 West Mall, University of British Columbia, Vancouver BC  V6T 1Z2, Canada.  Youmay specify if you would like your contribution to be used for educational activities,otherwise it will simply be used for other worthy purposes.  Be sure to include a returnaddress so that we can send you a tax receipt.Thanks in advance for your support!  Alejandro Adem, PIMS Deputy Director

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