Alan Weinstein

Chair, Department of Mathematics

 
 

Phone: 510-642-4129
FAX: 510-642-8204
Email:
Post: Department of Mathematics

       University of California
       Berkeley, CA, 94720-3840 USA
Office: 825 Evans Hall 
Chair's Office: 951 Evans Hall
Office hours in 825 Evans (Spring 2008): Mondays and Thursdays, 1:10-2 (but NOT Monday, April 14th) 

Photo by Margo Weinstein




Teaching 

Math 24: The Geometry of Relativity (Freshman Seminar)
Tuesdays from 2:10 to 3:30, Room 939 Evans.
Course control number 54405.
Course announcement and syllabus

Math 290: Differential Geometry seminar (organized with Robert Bryant)
Mondays from 2:10 to 3:00, Room 81 Evans.
Course control number 55009.
Seminar announcement (latest at bottom of page)

Math 290: Groupoids in Algebra and Geometry seminar (organized with Calder Daenzer, Calvin Moore, and Martin Olsson)
Wednesdays from 3:10 to 4:00, Room 939 Evans.
Course control number 54997.
Seminar announcement (latest at bottom of page)

Northern California (Berkeley-Davis-Santa Cruz-Stanford) symplectic geometry seminar
First Monday (usually) of each month from October to December and February to May,
          alternately at Berkeley and Stanford.
Seminar announcement (latest at bottom of page)


Meetings

Poisson Geometry home page (biennial meetings Poisson 2000+2n, where n=-1,0,1,2,...)
poissongeometry.org

Research papers

Preprint versions of most of my papers written since 1993 can be found on the ArXiv, via this link.   MathSci reviews of all my published papers, including links to online versions of some of them may be found by clicking 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")


Books

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. More information about this book.

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).


Lecture online

 From Riemann geometry to Poisson geometry and back again (lecture at Chern Symposium, MSRI, March 6, 1998)

Survey articles written by students in graduate courses.

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.