## Past Prizes - Awards

### PIMS Education Prize Past Recipients

Virginia Warfield (University of Washington)

Harley Weston (University of Regina)

George Bluman (University of British Columbia)

Malgorzata Dubiel (Simon Fraser University)

Sharon Friesen (University of Calgary)

Klaus Hoechsmann (University of British Columbia)

Wieslaw Krawcewicz (University of Alberta)

David Leeming (University of Victoria)

Ted Lewis (University of Alberta)

Jim Morrow (University of Washington)

Bill Sands (University of Calgary)

### CRM - Fields - PIMS Prize Past Recipients

**2009**

The Directors of the three Institutes, CRM, Fields and PIMS are pleased to announce that Martin Barlow from UBC is the recipient of the 2009 CRM-Fields-PIMS Prize.

Martin Barlow is a leading figure in probability and the leading international expert in diffusion on fractals and other disordered media. In addition, the impact of his work has been important in such diverse fields as partial differential equations, including major progress on the De Giorgi conjecture, stochastic differential equations, the mathematical finance of electricity pricing, filtration enlargement and branching measure diffusions. Already in the 1980’s, Martin Barlow settled a long open problem of probability theory, by providing necessary and sufficient conditions (the latter with J. Hawkes) for the continuity of local times of Lévy processes. This was the resolution of a thirty-year old problem which had attracted the efforts of Hale Trotter, Ronald Getoor and Harry Kersten among others. His conditions have paved the way for the study of the connection between local times and Gaussian processes. In the 1990’s his detailed study of diffusions on a variety of fractals and fractal-like sets opened a new area of study in probability, making him the leading international expert in the behaviour of diffusions on fractals and other disordered media. The study of the diffusion on the Sierpinski carpet, started with Ed Perkins and then Richard Bass in 1986, served as a testing ground for diffusion in highly inhomogeneous media, a domain of interest for the physics community which is now within mathematical reach. Barlow remains at the leading edge of this research with his recent work giving best possible results for the behaviour of transition probabilities for random walks on super-critical percolation clusters. The pioneering papers on the diffusion on the Sierpinski carpet attracted to the domain experts in Dirichlet forms, diffusions on manifolds and statistical mechanics. Martin Barlow currently is at the forefront of a program to study the transport properties of a broad class of graphs and manifolds. Martin Barlow received his undergraduate degree from Cambridge University in 1975 and completed his Doctoral degree with David Williams at the University College of Swansea in Wales in 1978. He held Royal Society University Research Fellowship at Cambridge University from 1985 to 1992, when he joined the Mathematics Department at University of British Columbia. He currently is Professor of Mathematics at UBC. He has held a number of visiting professorships at leading universities including University of Tokyo, Cornell University, Imperial College, London, and Université de Paris. Martin Barlow gave an invited lecture at the 1990 ICM in Kyoto and was an invited lecturer at the prestigious St. Flour Summer School in 1995. In 2008 he received the Jeffery-Williams Prize of the Canadian Mathematical Society. Other past distinctions include the Rollo Davidson Prize from Cambridge University, the Junior Whitehead Prize from the London Mathematical Society. He has been a leader of the international probability community, as a lead organizer of numerous conferences, Associate Editor of all the top probability journals and Editor-in-Chief of the Electronic Communications in probability. He is a Fellow of the Institute of Mathematical Statistics since 1995, of the Royal Society of Canada since 1998 and in 2006 was elected Fellow of the Royal Society (London).

**2008**

The Centre de recherches mathématiques (CRM), the Fields Institute, and the Pacific Institute for the Mathematical Sciences are pleased to announce that Professor Allan Borodin of the University of Toronto is the recipient of the 2008 CRM-Fields-PIMS Prize, in recognition of his exceptional achievement.

Professor Borodin is a world leader in the mathematical foundations of computer science. His influence on theoretical computer science has been enormous, and its scope is very broad. Jon Kleinberg, winner of the 2006 Nevanlinna Prize, writes of Borodin, “he is one of the few researchers for whom one can cite examples of impact on nearly every area of theory, and his work is characterized by a profound taste in choice of problems, and deep connections with broader issues in computer science.” Allan Borodin has made fundamental contributions to many areas, including algebraic computations, resource trade offs, routing in interconnection networks, parallel algorithms, online algorithms, and adversarial queuing theory.

Professor Borodin received his B.A. in Mathematics from Rutgers University in 1963, his M.S. in Electrical Engineering & Computer Science in 1966 from Stevens Institute of Technology, and his Ph.D. in Computer Science from Cornell University in 1969. He was a systems programmer at Bell Laboratories in New Jersey from 1963-1966, and a Research Fellow at Cornell from 1966-1969. Since 1969 he has taught with the computer science department at the University of Toronto, becoming a full professor in 1977, and chair of the department from 1980-1985. Professor Borodin has been the editor of many journals including the SIAM Journal of Computing, Algorithmica, the Journal of Computer Algebra, the Journal of Computational Complexity, and the Journal of Applicable Algebra in Engineering, Communication and Computing. He has held positions on, or been active in, dozens of committees and organizations, both inside and outside the University, and has held several visiting professorships internationally. In 1991 Borodin was elected a Fellow of the Royal Society of Canada.

**2007**

The directors of the Centre de recherches mathématiques (CRM) of l'Université de Montréal - François Lalonde, the Fields Institute - Barbara Keyfitz, and the Pacific Institute for the Mathematical Sciences - Ivar Ekeland, are pleased to announce that Professor Joel S. Feldman (University of British Columbia) is the recipient of the 2007 CRM-Fields-PIMS Prize, in recognition of his exceptional achievement and work in mathematical physics. For further information, read the .pdf article by David Brydges (UBC) on Dr. Feldman's research attached below.

Professor Feldman has risen to a position of international prominence in the world of mathematical physics, with a 30-year record of sustained output of the highest caliber. He has made important contributions to quantum field theory, many-body theory, Schrödinger operator theory, and the theory of infinite genus Riemann surfaces. Many of Professor Feldman's recent results on quantum many-body systems at positive densities and on Fermi liquids and superconductivity have been classed as some of the best research in mathematical physics in the last decade.

Professor Feldman received his B.Sc. from the University of Toronto in 1970, and his A.M. and Ph.D. from Harvard University in 1971 and 1974, respectively. He worked as a Research Fellow at Harvard University from 1974 to 1975, and was a C. L. E. Moore Instructor at the Massachusetts Institute of Technology (MIT) from 1975 to 1977. Since 1977, he has taught at the University of British Columbia, where he is currently a full professor. Professor Feldman was an invited speaker at the International Congress of Mathematicians in Kyoto in 1990. He was a plenary speaker at the XIIth International Congress on Mathematical Physics in Brisbane in 1997, and was an invited speaker at the XIVth International Congress on Mathematical Physics in Lisbon in 2003. He is a fellow of the Royal Society of Canada, and has been awarded the 1996 John L. Synge award and CRM Aisenstadt Chair Lectureship in 1999/200, as well as the 2004 Jeffery-Williams Prize by the Canadian Mathematical Society for outstanding contributions to mathematical research.

**2006**

The directors of the Centre de recherches mathématiques (CRM) of l'Université de Montréal - François Lalonde, the Fields Institute - Barbara Keyfitz, and the Pacific Institute for the Mathematical Sciences - Ivar Ekeland, are pleased to announce the awarding of the CRM-Fields-PIMS Prize for 2006 to Professor Nicole Tomczak-Jaegermann of the University of Alberta in recognition of her exceptional achievements in functional analysis and geometric analysis.

Nicole Tomczak-Jaegermann is one of the world’s leading mathematicians working in functional analysis. She has made outstanding contributions to infinite dimensional Banach space theory, asymptotic geometric analysis, and the interaction between these two streams of modern functional analysis. She is one of the few mathematicians who have contributed important results to both areas. In particular, her work constitutes an essential ingredient in a solution by the 1998 Fields Medallist W.T. Gowers of the homogeneous space problem raised by Banach in 1932.

Professor Tomczak-Jaegermann received her Master’s (1968) and Ph.D. (1974) degrees from Warsaw University in Poland. She held a position at Warsaw University from 1975 to 1983 and was visiting professor at Texas A & M University during 1981-1983. In 1983 she moved to the University of Alberta where she holds a Canada Research Chair in Geometric Analysis. She gave an invited lecture at the International Congress of Mathematicians in 1998, is a Fellow of the Royal Society of Canada, received a Killam Research Fellowship, and the Krieger-Nelson Prize Lectureship of the Canadian Mathematical Society. She has served the Canadian research community in various ways including NSERC and CMS committees, the Canada Council Killam Research Fellowship Committee, the Canada Research Chairs College of Reviewers, as well as the Scientific Board of BIRS. She has also served as the first University of Alberta Site Director of PIMS, and as Associate Editor of the Canadian Journal of Mathematics and the Canadian Mathematical Bulletin.

**2005**

David Boyd, University of British Columbia

**2004 **

Donald Dawson, Carleton University

**2003 **

John McKay, Concordia University, and Edwin Perkins, University of British Columbia (joint winners)

**2002 **

John B. Friedlander, University of Toronto

**2001 **

William T. Tutte, University of Waterloo

**2000**

Israel Michael Sigal, University of Toronto

**1999 **

Stephen A. Cook, University of Toronto

**1998 **

Robert Moody, University of Alberta

**1997 **

James Arthur, University of Toronto

**1996 **

George A. Elliott, Fields Institute/University of Toronto /Copenhagen

**1995 **

H.S.M. "Donald" Coxeter, University of Toronto