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International Scientific Advisory Committee [ français ]

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The International Scientific Advisory Committee advises the CRM on all scientific orientations: selection, organisation and elaboration of the thematic programs (annual programs, semestral programs and short programs), elaboration of the general and multidisciplinary programs and all other important activities.

The International Scientific Advisory Committee meets at the CRM at least nce a year, and several times a year by electronic mail. Here is a list of its members:

Afonso S. Bandeira

Afonso S. Bandeira is an assistant professor of Mathematics and Data Science with the Courant Institute of Mathematical Sciences at NYU. He holds a BS and MS in Mathematics from University of Coimbra (Portugal), and did his PhD at the Program of Applied and Computational Mathematics at Princeton University. He joined NYU after a year as an instructor at the department of Mathematics at MIT.

Afonso's interests are in Mathematics of Data Science, broadly defined. These include connections with Probability, Computer Science, Statistics, Machine Learning, Discrete Math, Image/Signal Processing, and Physics.

A specialist of probability theory and its applications, Gérard Ben Arous arrived to NYU's Courant Institute as a Professor of Mathematics in 2002. He was appointed Director of the Courant Institute and Vice Provost for Science and Engineering Development in September 2011. A native of France, Professor Ben Arous studied Mathematics at École Normale Supérieure and earned his PhD from the University of Paris VII (1981). He has been a Professor at the University of Paris-Sud (Orsay), at École Normale Supérieure, and more recently at the Swiss Federal Institute of Technology in Lausanne, where he held the Chair of Stochastic Modeling. He headed the department of Mathematics at Orsay and the departments of Mathematics and Computer Science at École Normale Supérieure. He also founded a Mathematics research institute in Lausanne, the Bernoulli Center. He is the managing editor (with Amir Dembo, Stanford) of one of the main journals in his field, Probability Theory and Related Fields.

Professor Ben Arous works on probability theory (stochastic analysis, large deviations, random media and random matrices) and its connections with other domains of mathematics (partial differential equations, dynamical systems), physics (statistical mechanics of disordered media), or industrial applications. He is mainly interested in the time evolution of complex systems, and the universal aspects of their long time behavior and of their slow relaxation to equilibrium, in particular how complexity and disorder imply aging. He is a Fellow of the Institute of Mathematical Statistics (as of August 2011) and an elected member of the International Statistical Institute. He was a plenary speaker at the European Congress of Mathematics, an invited speaker at the International Congress of Mathematics, received a senior Lady Davis Fellowship (Israel), the Rollo Davison Prize (Imperial College, London) and the Montyon Prize (French Academy of Sciences).

Lia Bronsard is one of Canada's leading mathematical analysts, whose interests lie in the field of partial differential equations and the calculus of variations. She specializes in the study of singular limits of solutions of partial differential equations. Her research brings rigorous methods of analysis to bear on problems arising in the physical sciences, and in particular those involving singular geometrical structures such as vortices, phase transition layers, and grain boundaries.

Bronsard was born in Québec in 1963 and received her Baccalauréat ès sciences in mathematics from the Université de Montréal in 1983. She received her Ph.D. in 1988 from the Courant Institute of Mathematical Sciences at New York University, working with R. V. Kohn on the De Giorgi conjecture connecting singularly perturbed reaction-diffusion equations and mean curvature flow. After her degree, she held positions at Brown University, the Institute for Advanced Study, and the Center for Nonlinear Analysis at Carnegie Mellon University. In 1992, she moved to McMaster University, where she is now a Professor of Mathematics.

During the period after her thesis, Bronsard worked on energy driven pattern formation in collaboration with B. Stoth and others. Her paper with F. Reitich on the structure of triple-junction layers in grain boundaries, from her period at CMU, was the first mathematical analysis of these multiphase singular structures and has been highly influential.

In her current research, Bronsard studies the detailed structures of vortices in the phenomenon of Bose-Einstein condensation and in the Ginzburg-Landau models of superconductivity. In this area, her work, in collaboration with S. Alama, T. Giorgi, P. Mironescu, E. Sandier and colleague J. Berlinsky from Physics at McMaster University, sets a very high standard of quality, and is a model of interdisciplinary research.

She is president of the Canadian Mathematical Society for the 2014-2016 term.

Ruth Charney is a Professor of Mathematics at Brandeis University. She received her PhD from Princeton University in 1977 and held postdoctoral positions at UC Berkeley, and Yale University. She then spent nearly 20 years at the Ohio State University before returning to Brandeis, her undergraduate alma mater, in 2003.
Charney is a Fellow of the American Mathematical Society (AMS). She has served as President of the Association for Women in Mathematics (AWM), Vice-President of the AMS and Chair of the Board of Trustees of AMS. She was also selected as a Polya Lecturer for the Mathematical Association of America (MAA).

Charney is interested in the interplay between topology and algebra. Her research spans several areas of mathematics, including K-theory, algebraic topology, and her current area of interest, geometric group theory. Her recent work focuses on the geometry of metric spaces of non-positive curvature (CAT(0) spaces) and groups that act by isometries on such spaces. She also enjoys giving public lectures that offer the general public insight into the beauty of abstract mathematics.

Born in Dijon, France, in 1961, Emmanuel Giroux studied at the École normale supérieure de St-Cloud and at the Université Paris-Sud (Orsay) before obtaining his PhD at the Université Claude Bernard Lyon I, in 1991, as well as his accreditation to supervise research, in 2000. Recruited by the CNRS in 1989, initially working as a research officer, and from 2001, as director of research, he spent his whole career up to now at the École normale supérieure de Lyon (ENS). In 2013, he became director of the Unité de mathématiques pures et appliquées (UMPA).

Emmanuel Giroux's research lies in the areas of differential topology, symplectic geometry and complex geometry. He is credited in particular with the discovery of a correspondence between "contact structures" (very homogeneous infinitesimal objects) and "open books" (much more concrete but heterogeneous objects). His work has earned him the Prix Carrière of the Académie des sciences de Paris in 1995, and he was an invited speaker at the International Congress of Mathematicians in Beijing in 2002.

Blind from the age of 11, this "carpenter of mathematics", as headlines dubbed him in Le Monde in June 2015, plays at paraphrasing Antoine de Saint-Exupéry: "In geometry, what is essential is invisible to the eyes; it is only with the mind that one can see rightly." Étienne Ghys, his colleague of 27 years at the ENS, thus testifies of their frequent exchanges: "To talk about mathematics with him forces a precision of the language that prompts you to a better understanding". In any case, blindness has not prevented Emmanuel Giroux from fully fulfilling his role in the mathematical community: through the training of students, through his involvement in the management of research, through the organization of conferences, or through holding editorial positions (currently at the Journal de l'École Polytechnique).

Miranda Holmes-Cerfon

Miranda Holmes-Cerfon received her BSc in 2005 in Honours Mathematics from the University of British Columbia, and her PhD in 2010 in Applied Mathematics and Atmosphere-Ocean Science from Courant Institute of Mathematical Sciences, New York University. Following that she was a Harvard Instructor in Applied Mathematics for 2 years, and then returned to New York as Courant Instructor and then Assistant professor of mathematics. She is broadly interested in problems in applied mathematics, and has contributed to understanding a range of systems from lava tubes to ocean waves to sphere packing. Her current research interest is in statistical mechanics at the nano- and microscale, with the aim of finding principles and building algorithms to design new materials. She is the recipient of a US Department of Energy Early Career Award, and a 2018 Alfred P Sloan Fellowship in Mathematics.

Mark Lewis

Mark Lewis holds a Canada Research Chair in Mathematical Biology, and is the Director of the Centre for Mathematical Biology at the University of Alberta. His research involves mathematical modelling of biological processes, and is an example of the best interplay of science and mathematics, where ideas from each discipline lead to advances in the other. Mark Lewis's work develops techniques in stochastic processes, dynamical systems and partial differential equations and has led to significant advances, for example, in modelling territorial pattern formation in wolf populations, predicting population spread in biological invasions like the West Nile virus, and assessing the effect of habitat fragmentation on species survival. He is president of the Canadian Mathematical Society until 2020.

Dusa McDuff is the Helen Lyttle Kimmel '42 Professor of Mathematics at Barnard College. She gained her early teaching experience at the University of York, the University of Warwick and MIT. In 1978, she joined the faculty of the Department of Mathematics at SUNY Stony Brook, where she was awarded the title of Distinguished Professor in 1998. Professor McDuff has honorary doctorates from the University of Edinburgh, the University of York and the University of Strasbourg. She is a fellow of the Royal Society, a member of the National Academy of Sciences, a member of the American Philosophical Society, and an honorary fellow of Girton College, Cambridge. She has received the Satter Prize from the American Mathematical Society and the Outstanding Woman Scientist Award from AWIS (Association for Women in Science). Professor McDuff's service to the mathematical community has been extensive. She is particularly interested in issues connected with the position of women in mathematics, and currently serves on the MSRI Board of Trustees. Together with Dietmar Salamon, she has written two foundational books on symplectic topology as well as several articles in collaboration with François Lalonde.

Sylvie Méléard

Sylvie Méléard was a student at the Ecole Normale Supérieure de Fontenay-aux-Roses (Sciences), graduated in mathematics and defended her thesis in 1984 under the direction of Nicole El Karoui at Université Paris VI. She became a professor at Université Paris X-Nanterre before teaching, as a professor of probability, at École Polytechnique starting in September 2006. She was president of the Department of Applied Mathematics from 2010 to 2014 and is responsible for the Population Evolution and Interacting Particle Systems (PEIPS) team. She is currently editor-in-chief of Stochastic Processes and their Applications.

She is Chevalier de la Légion d'honneur, obtained the La Recherche 2013 prize, was an Invited Speaker at 7ECM (2016) and was recently elected to the European Academy of Sciences (2018).

The first areas of interest of Sylvie Méléard focused on the probabilistic interpretation of nonlinear partial differential equations and stochastic particle models before moving towards random modeling in ecology / evolution with a particular interest for individual behaviors and their derivation under different parameter regimes. In this capacity, she is the holder of the Mathematical Modeling and Biodiversity Chair, created jointly by the École Polytechnique, the National Museum of Natural History and Veolia, which develops a multidisciplinary approach to ecosystem modeling, in order to respond to various questions. ranging from environmental issues (adaptive evolution, spatial colonization, analysis of community dynamics and construction of biodiversity scenarios) to medical issues (antibiotic resistance, invasion of cancer mutations).

Robert Pego has been a professor at Carnegie Mellon since 2004. He received his A.B. in mathematics from the University of Chicago and obtained his Ph.D. in applied mathematics from the University of California at Berkeley. He was a postdoctoral research associate at the University of Wisconsin, and became assistant professor at the University of Michigan before being a professor at the University of Maryland for 14 years.

His research interest include dynamics in infinite-dimensional physical systems, universal scaling behavior in models of clustering and coarsening, stability of nonlinear waves, and numerical methods for incompressible viscous flow.

Jeremy Quastel is widely recognized as one of the top probabilists in the world, having made major advances in the fields of hydrodynamic theory, stochastic partial differential equations, and integrable probability. He is particularly recognized for a series of ground-breaking works during the last ten years related to the Kardar-Parisi-Zhang (KPZ) equation and the wider class of random growth models conjectured to share the same long-time, large-scale limit (the so-called KPZ universality class). He proved a 25 year old conjecture from physics about the scaling exponents for the KPZ equation, as well as computing an exact formula for its one-point distribution. He demonstrated that the KPZ equation is universal in that it arises as a scaling limit of a wide variety of non-linear stochastic partial differential equations of Hamilton-Jacobi type. Most recently, he constructed and computed transition probabilities for the 'KPZ fixed point' Markov process, which should be the universal long-time limit of all models in the KPZ universality class. Among his earlier contributions, Quastel derived the incompressible Navier-Stokes equation from a class of interacting particle systems, derived equations for the behaviour of the internal diffusion-limited-aggregation model, and proved a conjecture about the speed of the traveling front for the stochastic Fisher-Kolmogorov-Petrovsky-Piskunov equation, which models branching diffusion processes.

For the profound impact of his work, Quastel has been recognized as a Fellow of the Royal Society of Canada (2016), and was the recipient of a Killam Research Fellowship (2013). He delivered an invited address at the 2010 International Congress of Mathematicians in Hyderabad India.

Jeremy Quastel received his Ph.D. from the Courant Institute in 1990. After six years at the University of California, Davis, he moved to his present position at the University of Toronto in 1998.

Dana Randall was born in New York City. She is the Director of the Algorithms and Randomness Center, ADVANCE Professor of Computing and Adjunct Professor at the School of Mathematics - Georgia Institute of Technology.

She obtained her A.B. in Mathematics at Harvard University (1988) and her Ph.D. in Computer Science at the University of California at Berkeley (1994). Her fields of interest are Theoretical Computer Science, Randomized Algorithms, Combinatorics, Stochastic Processes, Simulations of Physical Systems. The primary focus of her work is the design and analysis of efficient sampling algorithms based on Markov chains.

In 2012 she became a fellow of the American Mathematical Society and in 2007 was named a National Associate of the National Academies. She has served on the editorial boards of the Annals of Applied Probability, the SIAM Journal on Discrete Mathematics and the Theory of Computing. She chaired of the program committee for the ACM/SIAM Symposium on Discrete Algorithms in 2011 and will co-chair the SIAM Conference on Discrete Mathematics in Atlanta, June 2016. At Georgia Tech, she is currently co-directing the strategic initiative in data engineering and science.

Professor Nicolai Reshetikhin is a full professor at the Department of Mathematics at University of California, Berkeley. He is also a full professor at the Korteweg-de Vries Institute for Mathematics at the University of Amsterdam, and a member of the steering committee of the Centre for Quantum Geometry of Moduli Spaces at Aarhus University. After receiving his PhD from Leningrad University in 1984, Reshetikin held positions at Steklov Mathematical Institute and at Harvard University, before moving to the University of Berkeley in 1991. His groundbreaking research lies at the nexus of several branches of mathematics and mathematical physics, including quantum field theory, low-dimensional topology, and statistical mechanics. He was one of two founding editors of the European Mathematical Society journal Quantum Topology.

Reshetikhin is a Fellow of the Danish Royal Academy of Sciences and Letters and a 2015 Simons Fellow in Mathematics. Other recognitions of Reshetikhin's fundamental contributions to mathematical research include a Sloan Fellowship, a Humboldt Research Award, a Niels Bohr Visiting Professorship, a plenary lecture at the 1994 International Congress of Mathematical Physics, two invited lectures at the International Congress of Mathematicians (a sectional lecture in 1990, and a plenary lecture in 2010), and a plenary lecture at the 2008 European Congress of Mathematicians.

Emmanuel Ullmo has been at the helm of the Institut des hautes études scientifiques (IHÉS) since September 1, 2013. A former student of the École Normale Supérieure de Cachan (class of 1985), he obtained his PhD in Mathematics from the Université Paris-Sud (1992). His research area is algebraic geometry and arithmetic.

He has held a variety of positions in France and abroad. He spent a year and a half at the IMPA in Brazil, two years at Princeton University and six months at Tsing-Hua University in the People's Republic of China.

Faculty at the Université Paris-Sud since 2001, he took leadership of the Département de Mathématiques d'Orsay and the head of the hiring committee between 2007 and 2010.

Member of the scientific committee of the Centre Emile Borel (Institut Henri Poincaré) from 2002 to 2006, he has also joined the editorial board of the Inventiones Mathematicae journal in 2006 , and has been one of two chief editors between 2008 and 2013.

He was an invited speaker at the International Congress of Mathematicians in Beijing in 2002 and member of the Institut Universitaire de France from 2003 to 2008. In 2006, he received the Elie Cartan Prize of the Académie des Sciences de Paris.

Luc Vinet is Aisenstadt Professor of Physics at the Université de Montréal and the Director of the CRM, a position he held previously from 1993 to 1999. Born in Montréal, he holds a doctorate (3rd cycle) from the Université Pierre et Marie Curie (Paris) and a PhD from the Université de Montréal, both in theoretical physics. After two years as a research associate at MIT, he was appointed as assistant professor in the Physics Department at the Université de Montréal in the early 1980s and promoted to full professorship in 1992. His research interests in theoretical and mathematical physics include: exactly solvable problems, symmetries, algebraic structures, special functions and quantum information.

In 1999, Luc Vinet joined the ranks of McGill University where he held the position of Vice-Principal (Academic) and Provost. From 2005 to 2010, he was the Rector of the Université de Montréal. He presently chairs the Board of the Fulbright Canada and sits on the Board of Directors of National Institute for Nanotechnology in Edmonton. Among numerous honours, he was awarded the Armand-Frappier Prize of the Government of Québec in 2009 and the 2012 CAP-CRM Prize in Theoretical and Mathematical Physics. He holds an honorary doctorate from the Université Claude-Bernard (Lyon).

Michael Jeffrey Ward

Michael Ward obtained his Ph.D in Applied Mathematics at Caltech in
1988, having received his B.Sc degree at the University of British
Columbia in 1983. After a postdoc at Stanford and the Courant
Institute, he returned to UBC in 1993, where he is currently Professor
of Mathematics, and a former director of the Institute for Applied
Mathematics at UBC. His primary area of interest is in asymptotic and
singular perturbation analysis for PDEs and the study of the dynamics
and stability of spatio-temporal patterns for reaction-diffusion
systems, modeling diverse areas such as chemical instabilities,
biological morphogenesis, cell signalling and quorum-sensing, and
hotspot patterns of urban crime.

His work in strong localized
perturbation theory has been central to the analysis of various mean
first passage time problems in cell signalling with localized
traps. He was a co-winner of the Andre-Aisenstadt CRM prize in 1995,
the Coxeter James CMS prize in 1998, was awarded a Steacie Fellowship
in 1998, was an invited speaker at ICIAM in Hamburg in 1995. In 2011
he was honoured with the CAIMS Senior Research Prize. He is the
co-editor-in-chief of the European Journal of Applied Mathematics, and
serves on the editorial boards of Nonlinearity, the Journal of
Nonlinear Science, and DCDS-B.