Department of Applied Physics and Applied Mathematics,
Department of Mathematics (affiliated)
Columbia University
200 S.W. Mudd MC4701
New York, NY 10027
Tel: (212) 854 3624
Fax: (212) 854 8257
Email: miw2301@columbia.edu
Education
B.Sc. (Mathematics), Union College, summa cum laude, 1977
M.Sc. (Mathematics), Courant Institute - NYU, 1979
Ph.D. (Mathematics), Courant Institute - NYU, 1982
Thesis advisor: George C. Papanicolaou
Positions
2004 - present
Professor of Applied Mathematics
Columbia University
1998 - 2005
MTS - Fundamental Mathematics Research Department
Bell Laboratories, Lucent Technologies
1993 - 2000
Professor of Mathematics
1988 - 1993
Associate Professor of Mathematics
University of Michigan, Ann Arbor
1984-1988
Assistant Professor of Mathematics
Princeton University
1982-1984
NSF Postdoctoral Fellow
Stanford University
Postdoctoral advisor: Joseph B. Keller
Research Interests
Nonlinear Partial Differential Equations and Analysis;
Applied Mathematics; Waves in Nonlinear, Inhomogeneous and Random Media;
Dynamical Systems; Multi-Scale Phenomena;
Applications to Nonlinear Optics, Mathematical Physics,
Fluid Dynamics; Geosciences
Honors
Distinguished Lecture in Applied Mathematics, University of Massachusetts, Amherst, October, 2009;
Plenary Lectures:
VIII Americas Conference on Differential Equations, Veracruz, Mexico, 2009
Conference on Multiscale Modeling, Analysis and Simulation, Michigan State University, 2008
SIAM Conference on Nonlinear Waves and Coherent Structures, Orlando, 2004;
Invited Course on Nonlinear Dispersive Waves and Applications, Colloque Trimester - Institut Henri Poincare, May-June, 2009
Invited Tutorial: ``Waves in Microstructures'', Int'l Conf. on Nonlinear Evolution
Equations and Wave Phenomena, University of Georgia, 2007;
Invited Lecturer, U.S. National Academy of Sciences Symposium on Frontiers in Science; Irvine, CA, 2001
Visiting Positions
May-June, 2009
Visiting Professor
Centre Emile Borel
Institut Henri Poincar'e, Paris
July, 2009
Visiting Professor
Department of Applied Mathematics
and Computer Science
Weizmann Institute of Science
Rehovot, Israel
1995-1996
Visiting Professor of Applied Mathematics
Princeton University
October, 1994
Visiting Professor of Mathematics
Institut Mittag Leffler
Djursholm, Sweden
June-July, 1993
Visiting Professor of Mathematics
E. Landau Center for Mathematical Analysis
Hebrew University
Jerusalem, Israel
June, 1992
Visiting Member
Institute for Advanced Study - Princeton
June, 1992 and May, 1989
Visiting Professor of Mathematics
Universite de Paris Sud, Orsay
Editorial Activities
Editorial Board: Journal of Nonlinear Science
Editorial Board: SIAM Journal on Mathematical Analysis
Editorial Board: Proceedings of the American Mathematical Society
Recent Service
SIAM Activity Group on Nonlinear Waves and
Coherent Structures - Vice Chair 2009-
National Science Foundation Panels in Applied Mathematics
and Partial Differential Equations
New York Academy of Sciences
Judge, Blavatnik Awards for Young Scientists, 2008-
Co-organizer (with J. Colliander and V. Zharnitsky)
Conference
on Analysis of Nonlinear Wave Equations and Applications
Banff International Research Station; Banff, Canada, August, 2009
Co-organizer (with I.M. Sigal, A. Soffer and J. Froehlich)
Conference on Evolution of Microscopic and Macroscopic Fields
Banff International Research Station; Banff, Canada, September, 2006
Co-organizer (with D.F. Parker and C.A. Stuart)
Conference on Mathematical Problems in Nonlinear Optics and Microstructure Media,
International Centre for Mathematical Sciences (ICMS), Edinburgh, 2004
U.S. National Academy of Sciences
First Middle East Symposium on Frontiers in Science
and Engineering, Istanbul, Turkey -2004
Organizer, Applied Mathematics Session,
``Mathematics of Complex Fluid Phenomena''
U.S. National Academy of Sciences
Symposium on Frontiers in Science; Irvine, CA
Organizing Committee - 2002,2003, and speaker 2001
Grants
Students, Postdocs and Interns