JONATHAN WEITSMAN Associate Professor of Mathematics S.B., S.B., Massachusetts Institute of Technology Ph.D., Harvard University

Phone: 459-2154 Office: Baskin 365A Office Hours: By Appt. Email: weitsman_at_ucsc_dot_edu

RESEARCH INTERESTS

Jonathan Weitsman's interests are in geometry in mathematical physics. Two areas he has worked on are applications of ideas from quantum field theory to problems in geometry and topology, and various topics in symplectic geometry. In the first area his work is focused on vector bundles on Riemann surfaces; in the second, he has been primarily interested in understanding group actions and reduced spaces.

SELECTED PUBLICATIONS

V. Guillemin, S. Sternberg, and J. Weitsman: The Ehrhart Function for Symbols. Surveys in Differential Geometry.  Special memorial volume dedicated to S. S. Chern (2006)

V. Guillemin, S. Sternberg, and J. Weitsman: Signature Quantization.  Proc. Nat. Acad. Sci. USA 100, 12559-12560 (2003)

Y. Karshon, S. Sternberg, and J. Weitsman: The Euler Maclaurin Formula for Simple Integral Polytopes. Proc. Nat. Acad. Sci. USA 100, 426-433 (2003)

R. Bott, S. Tolman, and J. Weitsman: Subjectivity for Hamiltonian Loop Group Spaces. Invent. Math 155, 225-251 (2004)

S. Tolman and J. Weitsman: The Cohomology Rings of Symplectic Quotients. Commun. Anal.  Geom 11, 751-774 (2003)

J. Weitsman: Geometry of the Intersection Ring of the Moduli Space of Flat Connections
and the Conjectures of Newstead and Witten. Topology 37, 115-132 (1998)

L. Jeffrey and J. Weitsman: Bohr-Sommerfeld Orbits in the Moduli Space of Flat Connections and the Verlinde Dimension Formula. Commun. Math. Phys 150, 593-630 (1992)