## Past Members

Note: The positions listed were held during the person's term on the PIMS SRP.

**Carl de Boor*** Professor Emeritus in Mathematics and Computer Science, University of Wisconsin-Madison*

An expert in numerical analysis, Dr. de Boor is the author of more than 150 papers and four books. In 2003, he won the U.S. National Medal of Science. He has earned world recognition for his work on spline functions, mathematical expressions that describe free-form curves and surfaces. In particular, Dr. de Boor developed simpler approaches to complex spline calculations, a contribution that revolutionized computer-aided geometric design. His work is now routinely applied in a range of fields that rely on precise geometry, including the use of special effects in films, and in the aircraft and automotive industries.

Dr. de Boor grew up in East Germany and came to the United States in 1959. He received a doctorate from the University of Michigan in 1966 and joined the UW-Madison faculty in 1972. Until 2003, Dr. de Boor was the Steenbock Professor of Mathematical Sciences and the P.L. Chebyshev Professor of Mathematics and Computer Sciences. He was awarded the John von Neumann Prize by SIAM in 1996. In 1993 he was elected to the National Academy of Engineering, and in 1997 to the National Academy of Sciences. Dr. de Boor also is a member of the Deutsche Akademie der Naturforscher (1998) and a foreign member of the Polish Academy of Sciences (2000). He holds honorary doctorates from Purdue University (1993) and the Technion in Israel (2002).

He was a member of the PIMS SRP from 2005.

**David Boyd ***Professor of Mathematics, University of British Columbia*

David Boyd received his Ph.D. in Mathematics from the University of Toronto in 1966. At that time he worked in harmonic analysis and in particular interpfolation theory for rearrangement invariant spaces. Subsequently his work shifted into number theory, particularly the theory of Pisot and Salem numbers and Mahler's measure. He is particularly interested in the role of computation in pure mathematics. After his Ph.D., he spent a year at the University of Alberta, then moved to the California Institute of Technology where he spent the next four years, and finally moving to the University of British Columbia where he has been a professor of mathematics since 1974. He was awarded the 1978 E.W.R. Steacie Prize in Science for his work on Pisot sequences and Salem numbers. He was the Canadian Mathematical Society's Coxeter-James lecturer for 1979 and was elected to the Royal Society of Canada in 1980.

He was a member of the PIMS SRP from 1996-2001.

**David Brillinger ***Professor of Statistics, University of California, Berkeley*

David Brillinger's research is in statistical inference for and their applications to stochastic processes. In particular this involves him in statistical methods for random processes and in science and engineering. He has made contributions to the theory and application of statistics in subject areas including neurophysiology (the analysis of neural spike trains), seismology, and the modeling animal tracks. He is the author of Time Series Analysis: Data Analysis and Theory, former editor of the International Statistical Review, former President of the Institute of Mathematical Statistics and of the Statistical Society of Canada. He is a member of the American Academy of Arts and Sciences and is a Fellow of the Royal Society of Canada. He received a D.Sc. degree from the University of Western Ontario in 1999 and a D.Math. degree from the University of Waterloo in 2003.

He was a member of the PIMS SRP from 1999-2005.

**David Brydges ***Professor of Mathematics, University of British Columbia*

David Brydges received the PhD in 1976 at the University of Michigan under the direction of Paul Federbush. He held a postdoctoral position at Rockefeller University working for James Glimm. In 1978 he became Assistant Professor at the University of Virginia. He was promoted to Full Professor of Mathematics and Physics in 1981 and became Commonwealth Chair in 1996. He was recently appointed as a Canada Research Chair at the University of British Columbia.

Brydges received the Alfred P. Sloan Research fellowship in 1982. He has given lectures throughout the world including courses in the Troisiéme Cycle at Lausanne in 1992, Centre Emile Borel in 1998 and the Nach Diplom program at ETH, Switzerland. He is the President of the International Association of Mathematical Physics.

His interests are centered on the renormalization group with applications to quantum field theory, statistical mechanics and probability.

He was a member of the PIMS SRP from 2002-2007.

**Vladimir Chernousov** *Professor of Mathematics, University of Alberta*

Vladimir Chernusov received his Ph.D at the Institute of Mathematics (Minsk, Belarus) under supervision of V. Platonov in 1983 and after that he had held some research positions at the Institute of mathematics and some faculty positions at Minsk University. Also he had some visiting positions in Max Planck Institute (Germany), Bielefeld University (Germany), ETH (Switzerland), EPFL (Lausanne, Switzerland). He joined the faculty of the University of Alberta in 2003. He is an expert in the theory of linear algebraic groups. His research interests include Galois cohomology, Lie theory, nonassociative structures, exceptional groups, Brauer groups, quadratic forms. He was awarded the Prize of the Academy Sciences of the USSR for the proof of the Hasse principle for E8 in 1990. He was a research follow of the Humboldt Foundation 1996-1997. In 2004 Dr. Chernosuov was appointed Canada Research Chair in algebra at the University of Alberta.

Dr. Chernousov was been a member of the PIMS SRP from 2009-2013.

**Anne Condon ***Professor of Computer Science, University of British Columbia*

Anne Condon is a Professor in the Department of Computer Science at the University of British Columbia and is the NSERC/General Motors Chair for Women in Science and Engineering for British Columbia and the Yukon. She received her Ph.D. (1987) from the University of Washington, Seattle and B.Sc. (1982) from University College, Cork, Ireland. Her Ph.D. thesis on game-like computational models won an ACM Distinguished Dissertation award. She also received an NSF National Young Investigator Award (1992) and an NSF Visiting Professorships for Women Award (1996) to support her work.

Dr. Condon's research focuses on the power of randomness in computation. Through classification of randomized and nondeterministic complexity classes, her work has led to improved understanding of what types of intractable problems can be approximated and/or computed efficiently, notably PSPACE-hard problems and also problems in probabilistic planning. Dr. Condon also works on computational prediction of RNA secondary structure, and on verification of cache coherence protocols.

She was a member of the PIMS SRP from 2005-2007.

**Walter Craig*** Professor of Mathematics and Statistics, Canada Research Chair of Mathematical Analysis and its Applications, McMaster University*

Walter Craig received his doctorate from the Courant Institute in 1981, with PhD advisor L. Nirenberg, after an undergraduate degree from Berkeley. He has held faculty and research positions in the mathematics departments

at the California Institute of Technology, Stanford University and Brown University, before moving to McMaster University as the Canada Research Chair of Mathematical Analysis and its Applications in 2000. His research interests are in nonlinear partial differential equations and dynamical systems, with a focus on problems stemming from classical mechanics, fluid dynamics, and quantum mechanics. He has worked on the problem of free surface water waves, on KAM theory for partial differential equations and other systems with infinitely many degrees of freedom, on the propagation of singularities for Schroedinger's equations, on the singular set of solutions of the Navier - Stokes equations, and on the general theory of Hamiltonian partial differential equations. He is particularly interested in research in which surprising connections are uncovered between seemingly disparate parts of mathematics, as well as in situations in which theoretical results in mathematical analysis influence experimental or numerical approaches to a physical problem, and vice versa. Dr. Craig is a Fellow of the Fields Institute and of the Royal Society of Canada, as well as having been a Sloan Research Fellow, a Bantrell Fellow and a NSF Presidential Young Investigator. He has served on the Scientific Advisory Panel of the Fields Institute, the Comité Consultatif of the Centre de Recherches Mathématiques, on the AMS Council and Executive Committees, and he is currently serving on a number of editorial boards of mathematics journals.

He was a member of the PIMS SRP from 2007-2013.

**Ivar Ekeland** *Canada Research Chair in Mathematical Economics*

Ivar Ekeland is the Canada Research Chair in Mathematical Economics at the University of British Columbia. He is a former President of Universite Paris-Dauphine, and a former Director of the research centres CEREMADE and Institute Finance-Dauphine. He has received prizes from the French Academy of Sciences, the French Mathematical Society, and the Belgian Academy of Sciences. He is a foreign member of the Norwegian Academy of Sciences and he holds honorary doctorates from UBC and from the University of Saint-Petersburg for Economics and Finance. Dr. Ekeland is the founding editor of the "Annales de l'Institut Henri Poincare-Analyse nonlineaire" and he sits on the editorial board of many other publications. He has also written several books which are reflections on, or popularization of, mathematics. For these contributions, Dr. Ekeland was awarded the "Prix Jean Rostand" by the Association des Ecrivains Scientifiques de France and the "Prix d'Alembert" by the Societe Mathematique de France. He is also a regular contributor to the journal "Nature" as well as to the magazine "Pour la Science". He has been a member of the PIMS SRP since 2003.

He was a member of the PIMS SRP from 2003 until he stepped down as PIMS Director in June 2008 .

**Richard Ewing** *Professor of Applied Mathematics, Texas A & M University*

Richard Ewing is Dean of the College of Science and Professor of Mathematics and Engineering at Texas A & M University. He is also Director of the Institute for Scientific Computation and the Academy for Advanced Telecommunications & Learning Technologies at Texas A & M. Prof. Ewing is an expert in scientific computation. His research deals with the multitude of problems that arise from numerical simulation and modeling of multiphase flow and transport in porous media as applied to ground water contaminants and reservoir modeling. He has an extensive background in consulting/advising with the public and private sector especially the petroleum industry.

He was a member of the PIMS SRP from 1996-2001.

**John Friedlander ***Professor of Computer and Mathematical Sciences, University of Toronto at Scarborough*

John Friedlander is one of the world's foremost analytic number theorists, and is a recognized leader in the theory of prime numbers and L-functions. He received his B.Sc. from the University of Toronto in 1965, an M.A. from the University of Waterloo in 1966, and a Ph.D. from Penn State in 1972. He was a lecturer at MIT in 1974-76, and has been on the faculty of the University of Toronto since 1977, where he served as chair during 1987-91. He has also spent several years at the Institute for Advanced Study where he has collaborated with E. Bombieri and many others. Dr. Friedlander is a Fellow of the Royal Society of Canada (1988), an invited lecturer at the 1994 ICM in Zurich, and he delivered the CMS Jeffery-Williams Lecture in 1999. He has contributed significantly to mathematics in other ways, especially in Canada, through his role at NSERC (Mathematics GSC, 1991-94), as Mathematics Convenor of the Royal Society of Canada (1990-93), and as a Council member (1989-95) and Scientific Advisory Panel member (1996-2000) of the Fields Institute. He has served on the Editorial Board of the Canadian Journal of Mathematics and the Canadian Mathematics Bulletin for the past four years.

He was been a member of the PIMS SRP from 2005 - 2009.

**Nassif Ghoussoub ***Professor of Mathematics, University of British Columbia*

Nassif Ghoussoub obtained his Doctorat d'état in 1979 from the Université Pierre et Marie Curie in Paris, France and is currently a Professor of Mathematics at the University of British Columbia. His present research interests are in non-linear analysis, optimization and partial differential equations. He was the recipient of the Coxeter-James prize in 1990, of a Killam senior fellowship in 1992 and has been a fellow of the Royal Society of Canada since 1993.

He was chair of NSERC's grant selection committee for mathematics in 1995-1996 and vice-president of the Canadian Mathematical Society from 1994-1996. He was Editor-in-Chief of the Canadian Journal of Mathematics from 1993-2002 and is currently on the editorial board of various international journals.

He was chair of the PIMS SRP from 1996 (the start of PIMS) until he stepped down as PIMS Director in September 2003.

**Randy Goebel ***Professor of Computer Science, University of Alberta*

R.G. (Randy) Goebel is a professor in the Department of Computing Science at the University of Alberta. He received his B.Sc. (Computer Science), M.Sc. (Computing Science), and Ph.D. (Computer Science) from the Universities of Regina, Alberta, and British Columbia, respectively. Professor Goebel's research is focused on the theory and application of intelligent systems. His theoretical work on abduction, hypothetical reasoning and belief revision is well known, and his recent application of practical belief revision to scheduling and Web mining is now having industrial impact. Randy has previously held faculty appointments at the University of Waterloo and the University of Tokyo, and is actively involved in academic and industrial collaborative research projects in Canada, Australia, Europe and Japan.

He was a member of the PIMS SRP from 2002 - 2009.

**Ronald Graham ***Professor of Computer Science and Engineering, University of California, San Diego*

Ronald Graham is the Irwin and Joan Jacobs Professor of Computer and Information Science in the Computer Science and Engineering Department of the University of California at San Diego. He is also currently President of the Mathematical Association of America and has served as the Treasurer of the National Academy of Sciences since 1996. He was also the President of the American Mathematical Society from 1993 to 1995, and served as Chief Scientist of AT&T Labs until 1999. Graham's academic awards include membership in the National Academy of Sciences, Foreign Honorary Member of the Hungarian Academy of Sciences, Fellow of the American Academy of Arts and Sciences, Fellow of the America Association for the Advancement of Science, Fellow of the Association of Computing Machinery, and recipient of the Polya Prize in Combinatorics, the Euler Medal in Combinatorics, a Lester Ford Award of the Math. Assoc. of America, a Carl Allendorfer Award of the Math. Assoc. of America, and the Leroy Steele Award for Lifetime Achievement from the American Mathematical Society in 2002. He has also served as President of the International Jugglers Association. Graham's current mathematical interests include combinatorics, number theory, graph theory, discrete and computational geometry, design and analysis of algorithms, and applications thereof.

He was a member of the PIMS SRP from 1996-2005.

**Wolfgang J.R. Hoefer ***Professor of Computer and Electrical Engineering, University of Victoria*

Wolfgang J.R. Hoefer is a professor of Electrical and Computer Engineering at the University of Victoria and holds the NSERC/MPR Teltech Industrial Research Chair in RF-Engineering. He is a fellow of the Institute of Electrical and Electronics Engineers (IEEE) and of the Advanced Systems Institute (ASI) of British Columbia.

His expertise lies in computational electromagnetics, numerical modeling of electromagnetic fields and structures, microwave and millimeter-wave circuit design, and microwave measurements. Prof. Hoefer has been a visiting scientist or professor at AEG-Telefunken in Germany, the Communications Research Centre in Ottawa, and the Universities of Grenoble, Rome-Tor Vergata, Nice-Sofia Antipolis, Munich, and Duisburg. He is the managing editor of the International Journal of Numerical Modelling since 1988.

He was a member of the PIMS SRP from 1996-1999.

**Richard Karp ***Professor of Computer Science, University of California*

Richard M. Karp was born in Boston, Massachusetts in 1935 and was educated at the Boston Latin School and Harvard University, where he received his Ph.D. in Applied Mathematics in 1959. From 1959 to 1968he was a member of the Mathematical Sciences Department at the IBM Thomas J. Watson Research Center. From 1968 to 1994 he was a professor at the University of California, Berkeley. From 1988 to 1995 he was also associated with the International Computer Science Institute in Berkeley. In 1994 he retired from Berkeley and was named University Professor (Emeritus). In 1995 he moved to the University of Washington, where he has appointments in Computer Science and Molecular Biotechnology. The unifying theme in Karp's work has been the study of combinatorial algorithms. His 1972 paper "Reducibility Among Combinatorial Problems," demonstrated the wide applicability of the concept of NP-completeness. Much of his subsequent work has concerned the development of parallel algorithms, the probabilistic analysis of combinatorial optimization problems,and the construction of randomized algorithms for combinatorial problems. His current research is concerned with strategies for sequencing the human genome. Karp has received the U.S. National Medal of Science,Turing Award (ACM), the Fulkerson Prize(AMS and Math. Programming Society), the von Neumann Theory Prize(ORSA-TIMS), the Lanchester Prize (ORSA) the von Neumann Lectureship (SIAM) and the Distinguished Teaching Award (Berkeley). He is a member of the National Academy of Sciences and the National Academy of Engineering, and holds four honorary degrees.

He was a member of the PIMS SRP from 1996-2001.

**Richard Kenyon ***Professor of Mathematics, Brown University*

Richard Kenyon received his PhD in 1990 at Princeton University under the direction of William Thurston. Dr. Kenyon held a postdoctoral position at the Institut des Hautes Etudes Scientifiques and then a position at CNRS (Centre National de la Recherche Scientifique) in Grenoble, Lyon and Paris. He was appointed as a Canada Research Chair at UBC in 2004. He won a CNRS bronze medal in 1999 and the Rollo Davidson prize in 2001. His research interests are in statistical mechanics, combinatorics, and discrete geometry.

He was a member of the PIMS SRP from 2006-2009.

**Alistair Lachlan ***Professor of Mathematics, Simon Fraser University*

Alistair Lachlan obtained his Ph.D. from the University of Cambridge in 1964 and is currently a professor of mathematics at Simon Fraser University. Prof. Lachlan was elected as a Fellow of the Royal Society of Canada in 1974. He has served as the Vice-President of the Canadian Mathematical Society (1985-1987), was a member of the NSERC math GSC (1984-1987), was a member of the selection panel for speakers in Mathematical Logic at the 1990 ICM, and served on the steering committee for the CRM (1991-1995). He is and has been an editor for a number of journals including annals of pure and applied logic and the lecture notes in logic.

He was a member of the PIMS SRP from 1996-2001.

**Michael C. Mackey** *Joseph Morley Drake Professor of Physiology, Director of the Centre for Nonlinear Dynamics in Physiology and Medicine*

Michael C. Mackey received his undergraduate degree in Mathematics from the University of Kansas in 1963, and his doctorate in Physiology and Biophysics from the University of Washington in 1968. Following military service he joined the McGill University faculty in 1971 as a member of the Department of Physiology. He is currently the Joseph Morley Drake Professor of Physiology at McGill and holds associate membership in the McGill Departments of Mathematics and Physics, teaching in all three departments. He is also the Director of the Centre for Nonlinear Dynamics in Physiology and Medicine and the newly formed Centre for Collaborative Mathematics in Biosciences and Medicine. Dr. Mackey received a research prize in 1993 from the Alexander von Humboldt Stiftung, was elected to the Royal Society of Canada in 1999. He is a Fellow of the Hanse Wissenschaftkolleg (2000), the American Physical Society (2006) and SIAM (2009), and was the Leverhulme Visiting Professor of Mathematical Biology at Oxford University in the 2001 and 2002 academic years. His research interests include the dynamics of physiological systems, and the foundations of statistical mechanics and quantum mechanics.

Michael Mackey

Dr. Mackey was been a member of the PIMS SRP from 2009-2013.

**Bernard J. Matkowsky** *John Evans Chair in Applied Mathematics, Northwestern University*

Bernard J. Matkowsky presently holds the John Evans Chair in Applied Mathematics at Northwestern University. He received his Ph.D. from New York University in 1966. He was at Rensselaer Polytechnic Institute until 1978 and has been at Northwestern University since then. He is the editor of 7 journals (SIAM J. Appl. Math., European J. Appl. Math., Int'l. J. Wave Motion, Random and Computational Dynamics, J. Materials Synthesis and Processing, Int'l. J. SHS, Applied Math. Letters) and one book series (Springer Appl. Math. Sci. series). His honors include being a Fulbright-Hayes Fellow in 1972-1973 and a Guggenheim Fellow in 1982-1983. His research areas include asymptotic and perturbation methods for ordinary and partial differential equations, nonlinear stability and bifurcation theory, stochastic differential equations, and applications to fluid dynamics, elasticity, combustion, flame propagation, and solid state physics.

He was a member of the PIMS SRP from 1996-2001.

**Robert V. Moody ***Professor of Mathematics, University of Alberta*

Robert V. Moody is professor of mathematics at the University of Alberta. He received his Ph.D. from the University of Toronto in 1966 and spent most of his academic career at the University of Saskatchewan before coming to Alberta in 1989. He is best known for the discovery, independently with V. Kac, and subsequent investigations of the Kac-Moody Algebras, for which he was awarded the 1994-1996 Eugene Wigner Medal jointly with Kac. He has presented both the Coxeter-James Prize Lecture (1978) and the Jeffrey-Williams Prize Lecture (1995) to the Canadian Mathematical Society. He has served nationally on the Scientific Advisory Boards of both the Centre de Recherches de Mathematique and the Fields Institute for Research in the Mathematical Sciences, and on the Council of the Academy of Science, Royal Society of Canada.

He was a member of the PIMS SRP from 1996-2004.

**Nicholas Pippenger ***Professor of Computer Science, University of British Columbia*

Nicholas Pippenger received his Ph.D. from MIT in Electrical Engineering in 1974. Prior to joining UBC Computer Science department as a professor in 1988, he was a staff member at IBM for sixteen years and at Draper Laboratories for three years. For his last two years at IBM he was an IBM Fellow. His other distinctions include a 1991 UBC Killam Research Prize, a 1983 IBM Outstanding Technical Achievement Award, and a 1981 IBM Outstanding Innovation Award. He has published over 90 research articles in the theory of computation and communication and discrete mathematics.

He was a member of the PIMS SRP from 1996-2001.

**Ian F. Putnam ***Professor of Mathematics, University of Victoria*

Ian F. Putnam received his Ph.D. from the University of California at Berkeley in 1985. He was an NSERC University Research Fellow at Dalhousie University before moving to the University of Victoria where he is currently Canada Research Chair in Operator Algebras and Dynamical Systems in the department of mathematics and statistics. He has received the Israel Halperin Prize and the Andre Aisenstadt prize. He is a Fellow of the Royal Society of Canada.

He was a member of the PIMS SRP from 1999-2007.

**Bruce Reed ***Professor of Computer Science, Canada Research Chair in Graph Theory, McGill University*

Bruce Reed received his doctorate from McGill University in 1986. He has been a faculty member at the University of Waterloo and Carnegie Mellon University and a charge de recherche and directeur de recherche of the CNRS in France. He currently holds a Canada Research Chair in Grapht Theory at McGill University. Professor Reed's research interests lie at the intersection of computer science and mathematics. He is particularly interested in graph theory and discrete stochastic processes. He has given invited talks around the world, including at the 2002 ICM in Beijing.

He was been a member of the PIMS SRP from 2007 - 2009.

**Nancy Reid ***Professor of Statistics, University of Toronto*

Nancy Reid is a Professor of Statistics at the University of Toronto. She received her Bachelor of Mathematics in 1974 from the University of Waterloo, her M.Sc. in 1976 from the University of British Columbia, and her Ph.D. in 1979 from Stanford University. She held an academic appointment at the UBC from 1980-1986 and has held visiting appointments at Imperial College, London, Harvard University and the University of Texas at Austin. She has served as President of the Institute of Mathematical Statistics and of the Statistical Society of Canada; and as vice-president of the International Statistical Institute. She is a fellow of the Royal Society of Canada, the American Statistical Association and the Institute of Mathematical Statistics, a recipient of the Presidents' Award of the Committee of Presidents of Statistical Societies, the first recipient of the Canadian Mathematical Society's Krieger-Nelson Prize Lectureship, and the Institute of Mathematical Statistics' Wald lecturer for 2000. Her research interests include inferential statistics with special emphasis on asymptotic theory for likelihood based inference, design of experiments, and applications of statistics to health and environment.

She was a member of the PIMS SRP from 2005 - 2009.

**Bob Russell ***Professor of Applied Mathematics, Simon Fraser University*

Bob Russell received his Ph.D. in 1971 at the University of New Mexico under the direction of Lawrence Shampine. In 1971, Dr. Russell became Assistant Professor at Colorado State University and in 1972 he moved to Simon Fraser University. He was promoted to Full Professor in 1981. He has held numerous visiting positions throughout the world, including at Stanford, University of Auckland and Imperial College (as an SERC Fellow). Dr. Russell's travels include serving as an Invited Scholar at the USSR and Chinese Academies of Science and as a plenary speaker at SIAM's Dynamical Systems Conference in 2000. His journal editorships have included SIAM Journal on Numerical Analysis and SIAM Journal for Scientific Computing. He is a founding member and past Vice-President of CAIMS (Canadian Applied and Industrial Mathematics Society), has served two terms on NSERC's Grant Selection Committee in Computer Science, is on IMACS Board of Directors, and is a Canadian representative for ICIAM. His field of research is scientific computing, with special emphasis on the numerical solution of PDEs and ODEs. He is particularly interested in dynamical systems and computational methods which preserve qualitative features of solutions of differential equations. This has recently been in the context of developing mathematical software using adaptive gridding techniques.

He was a member of the PIMS SRP from 2002 - 2009.

**Donald Saari ***Professor of Mathematics and of Economics, University of California at Irvine*

Donald Saari is a Distinguished Professor of Mathematics and of Economics as well as the Director of the Institute for Mathematical Behavioral Sciences at the University of California at Irvine. He received his undergraduate degree from Michigan Technological University and his Ph.D. from Purdue University (advisor: Harry Pollard) where his thesis discussed the collision dynamics of the Newtonian N-body problem. After a postdoctoral position in the Yale University Astronomy Department, Dr. Saari joined the Mathematics Department at Northwestern University where he served as chair of the department and was the first Pancoe Professor of Mathematics. After three decades at Northwestern, in July 2000, he moved to California. Dr. Saari's research interests centre on dynamical systems and their applications to mathematical physics (primarily the Newtonian N-body problem) as well as to mathematical issues from the social sciences coming from economics, voting theory, and evolutionary behaviour. He is the Chief Editor of the "Bulletin of the American Mathematical Society" as well as serving on the editorial boards of several journals on analysis, dynamics, economics, and decision analysis. He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences, a Guggenheim Fellow, the past chair of the U.S. National Committee of Mathematics, chair of the U.S. delegation to the 2002 general assembly of the International Mathematical Union, and a member of several NRC committees including Math Science Education Board. He has honorary doctorates from Purdue, Universite de Caen, and Michigan Technological University.

He was a member of the PIMS SRP from 2005-2009.

**Gordan Slade ***Professor of Mathematics, University of British Columbia*

Gordon Slade received his Ph.D. from the University of British Columbia, in Mathematics, in 1984. He is currently a professor in the Mathematics department at University of British Columbia. He was the 1995 Coxeter-James Lecturer of the Canadian Mathematical Society, and was one of five Canadian mathematicians invited to give addresses at the 1994 International Conference of Mathematicians in Zurich.

In joint work with T. Hara, he has given a rigorous proof of the long-standing conjecture that percolation (and also other important models in statistical physics) exhibit mean-field behaviour in high dimensions.

He was a member of the PIMS SRP from 1996-2001.

**Elizabeth Thompson ***Professor of Statistics, University of Washington*

Elizabeth Thompson received a B.A. in Mathematics (1970), a Diploma in Mathematical Statistics (1971), and Ph.D. in Statistics (1974), from Cambridge University, UK. In 1974-5 she was a NATO/SRC postdoc in the Department of Genetics, Stanford University. From 1975-1981 she was a Fellow of King's College, Cambridge, and from 1981-1985 was Fellow and Director of Studies in Mathematics at Newnham College. From 1976-1985 she was a University Lecturer in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge. She joined the faculty of the University of Washington in December 1985, as a Professor of Statistics. Since 1988, Dr. Thompson has been Professor also of Biostatistics, and since Spring 2000, she is also an Adjunct Professor in Genetics (now Genome Sciences) at the University of Washington, and an Adjunct Professor of Statistics at North Carolina State University. She served as Chair of the Department of Statistics from 1989-1994.

In 1981, she was elected a member of the International Statistical Institute, and in 1988, she was awarded an Sc.D. degree by the University of Cambridge. In 1994, she gave the R.A.Fisher Lecture at the Joint Statistical Meetings in Toronto. In 1996, she gave the Neyman Lecture (IMS) at the Joint Statistical Meetings in Chicago. In 1998, she was elected a Fellow of the American Academy of Arts and Sciences. In 2001, she received the inaugural Jerome Sacks Award for Cross-Disciplinary Research from the National Institute for Statistical Science, and was also awarded the Weldon Prize, an international prize for contributions to Biometric Science awarded by the University of Oxford. She received a Guggenheim Fellowship in 2002-2003.

Dr. Thompson's research interest is in the development of methods for inference from genetic data, and particularly from patterns of genome sharing observed among members of large and large and complex pedigree structures, whether of plants, animals, or humans. Questions of interest range from human genetic linkage analysis to gene extinction in highly endangered species, and from inference of relationship to inferences of the genetic basis of traits, Her current focus is on developing research and education in Statistical Genetics at the University of Washington.

She was a member of the PIMS SRP from 2002-2005.

**Gunther Uhlmann ***Professor of Mathematics, University of Washington*

Gunther Uhlmann received his Ph.D. in 1976 at MIT under the direction of Victor Guillemin. He held postdoctoral positions at Harvard, Courant Institute and MIT. In 1980 he became Assistant Professor at MIT and in 1985 he moved to the University of Washington as an Associate Professor. He was promoted to Full Professor in 1987.

Uhlmann was awarded the Annual National Prize of Venezuela in Mathematics in 1982. He received an Alfred P. Sloan Research fellowship in 1984 and a John Simon Guggenheim fellowship in 2001. He has given numerous lectures throughout the world including an invited address at the Portland meeting of the AMS in 1991, the CBMS-NSF lectures on "Inverse Problems and Non-Destructive Evaluation" in 1995, an invited lecture at the International Congress of Mathematicians in Berlin in 1998 and the PIMS Distinguished Lectures at UBC in 2002.

His current interest is inverse problems, in particular inverse boundary value problems and inverse scattering problems. In these problems, one attempts to determine internal parameters of a medium by making measurements at the boundary of the medium or by remote observations.

He was a member of the PIMS SRP from 2002-2007.

**Hugh Williams ***Professor of Mathematics, University of Calgary*

Hugh C. Williams holds the iCORE Chair in Algorithmic Number Theory and Computing at the University of Calgary and is a professor in the Mathematics and Statistics Department at that institution. His main research interests are in computational number theory, cryptography and the design and development of special-purpose hardware devices. His work in computational number theory extends from analyzing the complexity of number theoretic algorithms to the actual implementation and testing of such algorithms.

Dr. Williams has published more than 130 refereed journal papers, 20 refereed conference papers and 20 books (or chapters therein). From 1983-85 he held a national Killam Research Fellowship. He has been an associate editor for Mathematics of Computation since 1978 and is also a member of the editorial boards of two other journals. Dr. Williams has also served on the Natural Science and Engineering Research Council (NSERC) Grant Selection Committees for both Computing and Information Science (1972-1975) and Pure and Applied Mathematics (1991-1994), and chaired the latter from 1993-1994. He has also been a member of the Steacie Awards Selection Committee.

He was a member of the PIMS SRP from 2002-2007.

**Efim Zelmanov** *Professor of Mathematics, University of California, San Diego*

Efim Zelmanov is the Rita L. Atkinson Chair in Mathematics at the University of California, San Diego. He attended Novosibirsk State University, obtaining his Ph.D. in 1980 having had his research supervised by Shirshov and Bokut. His Ph.D. thesis completely changed the whole of the subject of Jordan algebras by extending results from the classical theory of finite dimensional Jordan algebras to infinite dimensional Jordan algebras. Dr. Zelmanov described this work on Jordan algebras in his invited lecture to the International Congress of Mathematicians at Warsaw in 1983. In 1980 Dr. Zelmanov was appointed as a Junior Researcher at the Institute of Mathematics of the Academy of Sciences of the USSR at Novosibirsk. By 1986 he had been promoted to Leading Researcher. In 1987 Dr. Zelmanov solved one of the big open questions in the theory of Lie algebras. He proved that the Engel identity ad y(n)= 0 implies that the algebra is necessarily nilpotent. This was a classical result for finite dimensional Lie algebras but Dr. Zelmanov proved that the result also held also for infinite dimensional Lie algebras. In 1990 Dr. Zelmanov was appointed a professor at the University of Wisconsin-Madison. He held this appointment until 1994 when he was appointed to the University of Chicago. In 1995 he spent the year at Yale University. In 1991, Dr. Zelmanov went on to settle one of the most fundamental results in the theory of groups: the restricted Burnside problem, which had occupied group theorists throughout the 20th century. In 1994 Dr. Zelmanov was awarded a Fields Medal for this work at the International Congress of Mathematicians in Zurich in 1994. He is also a recipient of an Andre Aisenstadt Prize and a College de France Medal. He is a Fellow of the American Academy of Arts and Sciences and a Member of the National Academy of Sciences.

He was a member of the PIMS SRP from 2005 - 2009.