Professor of the Graduate School
Phone:
510-642-6550
FAX: 510-642-8204
Email:
Post: Department
of Mathematics, University of California, Berkeley, CA,
94720-3840 USA
Office: 825 Evans Hall
Photo by Margo Weinstein
Seminars
ONGOING
Northern California (Berkeley-Davis-Stanford-Santa Cruz) Symplectic Geometry Seminar
First Monday (usually) of each month from October to
December and February to May,
alternately at Berkeley and Stanford.
Poisson
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 series of annual short workshops on Poisson geometry.
A conversation with Alan Weinstein, by Henrique Bursztyn and Rui Loja Fernandes. Notices of the American Mathematical Society, January 2023.
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).
From
Riemann geometry to Poisson geometry and back again (video of
lecture at Chern Symposium, MSRI, March 6,
1998)
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.
Survey
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 article was written by a visiting undergraduate student from METU.
A survey of singular reduction, Baris Kartal, 2013.