December  1, 2015

Scientific Advisory Panel

Our Directorate and the Scientific Advisory Panel (SAP) provide the scientific leadership of the Institute. The SAP, which is chaired by the Director, includes the Deputy Director and a rotating membership of at least seven distinguished mathematicians from Canada and abroad. The panel makes recommendations to the Board of Directors on the selection of thematic programs and workshops. Members of the SAP can access the SAP Information Page


Isabelle Gallagher Université Paris-Diderot
Bill Goldman University of Maryland
Matheus Grasselli Fields Institute
Ian Hambleton Fields Institute
Stephen Kudla University of Toronto
Russell Lyons Indiana University
Robert McCann University of Toronto
William Minicozzi Massachusetts Institute of Technology
Assaf Naor Courant Institute of Mathematical Sciences
Duong Phong Columbia University
Claire Voisin University of Paris VI
Nick Wormald Monash University

Isabelle Gallagher is a French mathematician and professor of mathematics at Université Paris-Diderot (Paris 7). She is currently head of the Mathematics Department of Université Paris-Diderot. She is Editor-in-chief of the Journal de l'Institut de Mathématiques de Jussieu and Springer Mathematics Monographs, and Editor of the Annales de l'Ecole Normale Supérieure, Philosophical Transactions A, and the collection Mathématiques et Applications. She specializes in Partial Differential Equations. In 1998, she earned a Ph.D. in mathematics from Université Pierre-et-Marie-Curie (Paris 6). In 2008, she was awarded a Prize from the French Academy of Sciences. She was an invited speaker in the ECM in 2012 and ICM in 2014.
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Bill Goldman began studying geometric structures on low-dimensional manifolds and their moduli as an undergraduate, working with Bill Thurston at Princeton University. In 1980 he earned a doctorate at the University of California, Berkeley working with Morris Hirsch. After positions at the University of Colorado, MIT, the University of Maryland and MSRI, he moved permanently to Maryland in 1986. Since then he has held visiting positions at Oxford University, IHES, the Institute for Advanced Study and the University of Paris. He received a Sloan Foundation Fellowship in 1988. In 2000 he cofounded the Experimental Geometry Lab, which he now directs. He has supervised over 25 doctoral dissertations. He spoke at the 2010 ICM. Since 2003 he was Editor-In-Chief of Geometriae Dedicata. He directed the VIGRE program at Maryland from 2003 to 2009. He was elected Member-At-Large of the AMS Council in 2005, and currently serves on the AMS Committee on the Profession. He has co-organized numerous conferences in the US, Canada, Europe and Asia.
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Matheus Grasselli, Deputy Director, earned an undergraduate degree in Physics from the University of Sao Paulo in 1997, and a Ph.D. in Mathematics from King's College London in 2002, for his thesis on Quantum and Classical Information Geometry under the supervision of Raymond Streater. After a postdoctoral fellowship, he was appointed Sharcnet Chair in Financial Mathematics at McMaster University in 2003, where he is currently an Associate Professor and co-director of PhiMac, the Financial Mathematics Laboratory. He has published research papers on information geometry, statistical physics, and numerous aspects of quantitative finance, including interest rate theory, optimal portfolio, real options and executive compensation, as well as an undergraduate textbook on numerical methods. His consulting activities include projects with CIBC, Petrobras, EDF, and Bovespa. He is a regular speaker in both academic and industrial conferences around the world, and was the lead organizer of the Thematic Program on Quantitative Finance: Foundations and Applications, at the Fields Institute in 2010. Starting in 2011, he began serving as the first managing editor for the newly created book series Springer Briefs on Quantitative Finance.
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Ian Hambleton, Director, received his doctorate from Yale University in 1973, and was an L. E. Dickson Instructor at the University of Chicago before joining McMaster University, where he has served as Chair of the Department of Mathematics and Statistics for three terms, was active in university affairs as President of the McMaster Faculty Association, and was several times elected to the Senate and Board of Governors. He is a prominent mathematician with more than 75 published articles in leading international journals, whose research in geometry and topology connects to a broad range of mathematics. His distinguished record of scholarship has been recognized by a high level of NSERC funding for almost 40 years, supporting an extensive program of graduate and postdoctoral training. He was a Member of the School of Mathematics at the Institute for Advanced Study in Princeton for two years, and a Visiting Professor for three years at the Max Planck Institute for Mathematics in Bonn, in addition to numerous other visiting positions at major mathematical centres.
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Stephen Kudla was born in 1950 in Caracas and is an American mathematician who with automorphic forms and arithmetic geometry employed.

He was 1975 Michio Kuga at the State University of New York at Stony Brook doctorate (SUNY) (Real Points on Algebraic Varieties Defined by Quaternion Algebras). As a post-doctoral researcher, he was in 1975-76 at the Institute for Advanced Study. He was in 1975 at the University of Maryland in College Park, where he became a professor, and since 2006 has been professor at the University of Toronto (Canadian Research Chair).

In 1997 he found a relationship between the Fourier coefficients of derivation of Seal Eisenstein series and arithmetic invariants of Shimura varieties (heights of arithmetic degrees of cycles on these varieties).

In 1981 he was Sloan Fellow. In 2000 he received the Max Planck Research Award and the 2009 Jeffery-Williams Prize of the Canadian Mathematical Society. In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Derivatives of Eisenstein Series and Arithmetic Geometry). He is the Scientific Review Panel of the Pacific Institute of Mathematical Sciences (PIMS). Since 2004 he is co-editor of the Canadian Journal of Mathematics and is co-organizer of several conferences on Mathematical Research Institute Oberwolfach.
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Russell Lyons obtained his Ph.D. at the University of Michigan in 1983. After a postdoc in Paris and a job at Stanford University, Lyons moved to Indiana University in 1990, where he is James H. Rudy Professor of Mathematics and Adjunct Professor of Statistics. His primary area of research is discrete probability and its connections to other areas of mathematics, including ergodic theory, geometric group theory, and combinatorics. He is also very interested in the teaching of statistics and has done some research in statistics. Lyons was a Sloan Foundation Fellow, a Visiting Miller Research Professor, an Institute of Mathematical Statistics Medallion Lecturer, an Invited Speaker at the International Congress of Mathematicians, and gave an Hour Address at the Joint Mathematics Meetings. He is a Fellow of the American Mathematical Society.
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Robert McCann (BScH '89 Queen's; PhD '94 Princeton) has played a leading role in the development of the theory and applications of optimal
transportation. His 1994 thesis with Elliott Lieb introduced the concept of displacement convexity. Motivated by physical applications to interacting gases and equilibrium crystals, with collaborators he later extended such inequalities to curved settings, where they were shown to have a fundamental geometric significance, characterizing Ricci curvature bounds. He continues to explore the theory of optimal maps, and applications ranging from computer vision and weather prediction to nonlinear dynamics and economics. After holding an NSERC postdoctoral fellowship and Tamarkin Assistant Professorship at Brown University, in 1998 he accepted a position with tenure at the University of Toronto, where he remains. He has been lucky enough to hold visiting positions at IHES, MSRI, UC Berkeley, U Chicago, Courant Institute, MPI Leipzig, various Universities in France and in Paris, among other institutions. He served as lead organizer for semesters of emphasis on Optimal Transportation at MSRI (2013), and on Variational Problems in Physics, Geometry and Economics at the Fields Institute (2014). He is a Fellow of the Royal Society of Canada, the American Mathematical Society, and Fields Institute, and serves on the Editorial Boards of Advances in the Calculus of Variations, Journal of Differential Equations, SIAM Journal of Mathematical Analysis, and as Editor-in-Chief of the Canadian Journal of Mathematics (since 2007). Currently holding a Simons Fellowship (2016), he was an invited speaker at the International Congress of Mathematicians in Seoul (2014).
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William Minicozzi works in geometry and analysis and is currently a professor of mathematics at MIT. He received his Ph.D. from Stanford in 1994 under the supervision of Rick Schoen, spent a year at Courant and then joined the faculty at Johns Hopkins where he held the Krieger-Eisenhower Chair in Mathematics starting in 2007 and was department chair in 2011-12. He was awarded a Sloan fellowship in 1998, gave an invited address at the 2006 ICM in Madrid, and received the Oswald Veblen Prize from the AMS together with Tobias Colding for their work on minimal surfaces. He was named a Fellow of the American Mathematical Society in 2012 and elected to the American Academy of Art & Sciences in 2015.
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Assaf Naor is a Professor of Mathematics at Princeton University. He conducts research on the interface of analysis and geometry, with emphasis on discovering new structural aspects of metric spaces and harnessing this information to various applications, ranging from functional analysis and Banach space theory to harmonic analysis, probability theory, group theory and approximation algorithms.
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Duong Phong was born on August 30, 1953, in Nam-Dinh, Vietnam. After high school studies at the Lycée Jean-Jacques Rousseau in Saigon and a year at the École Polytechnique Fédérale in Lausanne, Switzerland, he went to Princeton University, where he obtained both his B.A. and his Ph.D. degrees. He was an L. E. Dickson Instructor at the University of Chicago in 1975–77 and a member of the Institute for Advanced Study in 1977–78. He joined Columbia University in 1978 and has been there ever since, serving in 1995–98 as chair of the mathematics department. He has held visiting positions at several institutions, including the Université de Paris-Sud, the Institute
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Claire Voisin , born in 1962, is a French mathematician. She is currently Director of Research at the Institut de mathématiques de Jussieu at the University of Paris VI. She received her PhD and permanent position at CNRS in 1986.
Professor Voisin is noted for her work in algebraic geometry. She worked in projective geometry of algebraic curves and other subjects in complex algebraic geometry, but most of her work is devoted to Chow groups, Hodge structures and motives of projective complex varieties. Her main result concerns the existence of compact Kaehler manifolds which are not homeomorphic to projective complex manifolds.
She is Editor-in-chief of Publications Mathématiques de l'Institut des Hautes Études Scientifiques, editor of Journal of the European Math. Society, Communications in Contemporary Mathematics, Journal de mathématiques pures et appliquées, Compositio Mathematica.
She received the Sophie Germain Prize in 2003 and the Clay Research Award in 2008. She was a Plenary speaker at the 4th congrès European congress of Mathematicians, Stockholm (2004) and International congress of Mathematicians, Hyderabad, Inde (2010)
Professor Voisin has been elected Member of the Académie des Sciences (2010), and foreign Member of the Deutsche Akademie der Naturforscher Leopoldina (2009), Istituto Lombardo (2006) and Accademia dei lincei (2011).
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Nick Wormald is an Australian mathematician and professor of mathematics at Monash University. He specializes in probabilistic combinatorics, graph theory, graph algorithms, Steiner trees, web graphs, mine optimization, and other areas in combinatorics. In 1979, he earned a Ph.D. in mathematics from the University of Newcastle with a dissertation entitled Some problems in the enumeration of labelled graphs. In 2006, he won the Euler Medal from the Institute of Combinatorics and its Applications. He previously was the holder of the Canada Research Chair in Combinatorics and Optimization at the University of Waterloo. In 2012, he was recognized with an Australian Laureate Fellowship for his achievements.
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