## 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

### Members

**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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