
Nominations The Centre de recherches mathématiques (CRM) hereby solicits nominations for the AndréAisenstadt Mathematics Prize awarded to recognize talented young Canadian mathematicians. The AndréAisenstadt Mathematics Prize, which is given for research achievement in pure and applied mathematics, consists of a $ 3 000 award and a medal. The recipient is chosen by CRM's advisory committee. The prize is generally awarded yearly, although in a given year the decision may be made not to award it. At the time of consideration, candidates must be Canadian citizens or permanent residents of Canada, and no more than seven years from their Ph.D. A condition of acceptance of the prize is that recipient deliver a lecture at CRM, at a time mutually agreed upon. Also, a brief description of the work is to be prepared by the recipient for publication in the CRM Bulletin. Nominations must be submitted by October 1, 2005 to the Director of the CRM, by at least two sponsors who are responsible for providing the following information:

The 1997 AndréAisenstadt Mathematics Prize was awarded to Professor Boris A. KHESIN of the University of Toronto. HIS WORK: Professor Khesin was cited for his work in infinitedimensional Poisson geometry and Lie groups and his wonderful geometric intuition applied to problems in topological hydrodynamics and groups of double loops. He did fundamental work in bifurcation theory where he proved R. Thom's rule of "seven elementary catastrophes" in dynamical systems. Professor Khesin also discovered the "logarithm of the derivative," a beautifully simple notion providing a link between determinant theory and the theory of infinitedimensional integrable systems. HIS STUDIES AND AFFILIATIONS: Boris Khesin did his undergraduate and graduate work at Moscow State University, obtaining his Ph.D. under the direction of Professor V. I. Arnold in 1990. He then held positions at the University of California at Berkeley, Yale University and the Isaac Newton Institute before accepting a permanent position at the University of Toronto where he is currently an associate professor and Sloan Fellow. Professor Khesin presented a lecture at the CRM in January 1998. 
The CRM Advisory Committee recommended the awarding of two AndréAisenstadt Prizes for the academic year 199697. These went to Henri Darmon and Lisa Jeffrey, both of McGill University.
Lisa C. JEFFREY (University of Toronto) HER WORK: Lisa Jeffrey was awarded the AndréAisenstadt Prize for her distinguished research contributions in Symplectic Geometry and various aspects of the relation between Topology and Physics. In particular, in joint work with Frances Kirwan, she obtained a complete description of the cohomology ring of the moduli space of vector bundles on a Riemann surface solving an important conjecture of Witten. Techniques invented in the course of this work have proved useful in solving other significant problems as well. HER STUDIES AND AFFILIATIONS: The two AndréAisenstadt prize winners gave lectures on their work at the CRM on February 28, 1997. Professor Darmon's lecture was entitled "Faltings plus epsilon et l'équation de Fermat généralisée" and Professor Jeffrey's was entitled "Flat connections on Riemann surfaces." 
Henri Darmon 
The AndréAisenstadt Mathematics Prize for 1995 was awarded to Professor Adrian S. LEWIS of the University of Waterloo. Professor Lewis was cited for his deep contributions in a wide range of mathematical areas: mathematical optimization, convex and nonsmooth analysis, functional analysis, matrix theory, and computational optimization. In particular he is world renowned for his work in the field of convex programming of Hermitian matrices. The prize was awarded on April 26, 1996 at the CRM by Luc Vinet, director, following a lecture by Professor Lewis entitled "Convex Analysis and Applications." HIS WORK: Adrian Lewis has published more than 30 articles in prestigious refereed journals and has given numerous invited presentations and colloquia, among them a keynote speech at the SIAM Conference on Optimization in 1996. He has also accepted invitations to Marseilles and Toulouse for joint research and expositions of his work. He is a member of the editorial board of the SIAM Journal on Optimization, and referees and reviews for ten other important journals. HIS STUDIES AND AFFILIATIONS: Professor Lewis did his undergraduate and graduate studies at Cambridge University in England, obtaining his Ph.D. in 1987. His thesis was entitled "Extreme point methods for infinite linear programming." After research fellowships at Cambridge University and Dalhousie University he moved to the University of Waterloo in 1988 where he is currently Associate Professor in the Department of Combinatorics and Optimization.

Ian F. Putnam 
Niki Kamram 
August 13, 2004 webmaster@CRM.UMontreal.CA