Professor of the Graduate School
Post: Department of Mathematics, University of California, Berkeley, CA, 94720-3840 USA
Office: 825 Evans Hall
Office hours: Tuesday, 1-2 (beginning January 22)
Photo by Margo Weinstein
(Berkeley-Davis-Santa Cruz-Stanford) symplectic geometry
First Monday (usually) of each month from October to December and February to May,
alternately at Berkeley and Stanford.
Seminar on derived geometry (details to be announced)
Geometry home page
This is a link to websites of the biennial meetings Poisson 2000+2n, where n=0,1,2,...., and a meeting in Warsaw in 1998. There is also a link to "Gone Fishing", a new series of weekend meetings on Poisson geometry.
The first of these meetings was held at The Washington University in St. Louis, at the end of October, 2011.
The second was held at UCLA at the end of September, 2012.
Poisson 2012 was held in Utrecht, the Netherlands. Poisson 2014 will be held at the University of Illinois at Champaign-Urbana.
External funding is expected for travel by graduate students and postdocs to Poisson 2014.
Preprint versions of most of my papers written since 1993 can be found on the ArXiv, via this link. MathSci reviews of my published papers, including links to online versions of many of them may be found here.
Links to some other papers may be found below.
Groupoïdes symplectiques (by A. Coste, P. Dazord, and A Weinstein, appeared in Publ. Dept. Math. Univ. Claude-Bernard Lyon I, 1987)
Beyond Poisson structures (with T. Courant, appeared in Seminaire sud-rhodanien de geometrie VIII. Travaux en Cours 27, Hermann, Paris (1988), 39-49)
Deformation quantization (from Seminar Bourbaki, 1994)
Geometry of the transport equation in multicomponent WKB approximations (with C. Emmrich, appeared in Comm. Math. Phys., 1996)
Lagrangian mechanics and groupoids (appeared in Mechanics Day, Fields Institute Proc. v. 7, AMS, 1995. You may need to download the file remark.sty to process this file with LaTeX.)
The symplectic structure on moduli space (published in The Floer Memorial Volume, 1995)
The modular automorphism group of a Poisson manifold (appeared in Journal of Geometry and Physics)
Tangential deformation quantization and polarized symplectic groupoids (appeared in Deformation Theory and Symplectic Geometry, S. Gutt, J. Rawnsley, and D. Sternheimer, eds., Kluwer, Dordrecht, 1997)
Poisson geometry (survey article, appeared in Diff. Geom. Appl. )
Self-similarity of Poisson structures on tori (with K. Mikami, PostScript file, appeared in Banach Center Proceedings)
Some comments on the history, theory, and applications of symplectic reduction (with J. Marsden, appeared in proceedings of conference "Quantization of Singular Symplectic Quotients")
Geometric Models for Noncommutative Algebras, by A. Cannas da Silva and A. Weinstein, was published in 1999 by the American Mathematical Society in the Berkeley Mathematics Lecture Notes series; see the listing at the AMS Bookstore. The manuscript is also available here in electronic form: PDF file. A list of errata (as of August, 2000) is here: PDF form.
Lectures on the Geometry of Quantization, by S. Bates and A. Weinstein, was published in 1997 in the same series; see the listing at the AMS Bookstore. The manuscript is also available here in electronic form: PDF file.
Basic Multivariable Calculus, by J.E. Marsden, A.J. Tromba, and A. Weinstein, was published in 1993 by W.A. Freeman and Company and by Springer-Verlag. More information about this book.
Calculus I,II,III, by J.E. Marsden and A. Weinstein, was published in 1985 by Springer-Verlag. Link to online version.
Calculus Unlimited, by
J.E. Marsden and A. Weinstein, was published in 1981 by
Benjamin/Cummings and is now out of print. More
information about this book (including link to an online version).
Riemann geometry to Poisson geometry and back again (video of
lecture at Chern Symposium, MSRI, March 6,
Modular classes and the volume of a differentiable stack ("slides" from lecture at Poisson 2008, EPFL Lausanne, July 7, 2008)
These articles have been reviewed and rewritten since submission as term papers. They are meant to provide graduate students and researchers with an introduction to topics of current interest in differential geometry.
articles on riemannian geometry from Math 240, Spring 1995.
Survey articles on symplectic geometry from Math 242, Spring 1996.
Survey articles on geometric models for noncommutative algebras (Poisson geometry and quantization) from Math 277, Spring 1997.
Survey articles on symplectic geometry from Math 242, Spring 1999.
Survey articles on riemannian geometry from Math 240, Spring 2000.
Survey articles on momentum mappings from Math 277, Fall 2000.
Survey articles on symplectic geometry from Math 242, Fall 2002.
Survey articles on riemannian geometry from Math 240, Fall 2003.
Survey articles on symplectic geometry from Math 242, Fall 2005.
The following is a master's thesis for which I was a co-supervisor.
The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion, Ludovic Pirl, Lausanne, 2010.
The following is a survey article written by a visiting undergraduate student.
A survey of singular reduction, Baris Kartal, METU, 2013.