Mathematics

194 Baskin Engineering
(831) 459-2969
http://www.math.ucsc.edu

Faculty and Professional Interests

Professor

Robert Boltje
Group theory, algebraic number theory

Bruce N. Cooperstein
Groups of Lie type, incidence geometry

Chongying Dong
Infinite-dimensional Lie algebras and their representations, conformal field theory

Alexander Gamburd
Spectral problems in number theory, probability, and cominatorics

Viktor Ginzburg
Global analysis, symplectic topology; Hamiltonian dynamical systems, Poisson geometry, symmetries, and group actions

Debra Lewis
Geometric Hamiltonian mechanics, geometric integration, bifurcation theory, applications of variational methods, control theory

Geoffrey Mason
Vertex operator algebras and applications to conformal field theory and string theory; modular forms; group theory; quasi-Hopf algebras

Richard Montgomery
Celestial mechanics, differential geometry, gauge theory, mechanics (quantum and classical), and singularity theory

Jie Qing
Nonlinear analysis, harmonic analysis, partial differential equations with applications to differential geometry, mathematical physics

Maria Schonbek
Nonlinear partial differential equations, with emphasis on fluid equations

Anthony J. Tromba
Global nonlinear analysis, calculus of variations, minimal surfaces and Plateau’s problem, Riemann surfaces

Associate Professor

Torsten Ehrhardt
Functional analysis, Operator theory, Toeplitz matrices, Banach algebras, Random Matrix Theory, Wiener-Hopf factorization

Hirotaka Tamanoi
Algebraic topology, string topology, topological quantum field theory, mathematical aspects of string theory

Assistant Professor

Samit Dasgupta
Algebraic number theory, arithmetic geometry, special values of L-functions

Martin H. Weissman
Representation theory, automorphic forms, number theory

Emeriti

Ralph H. Abraham
Nicholas Burgoyne
Arthur E. Fischer
Marvin J. Greenberg
Al Kelley
Edward M. Landesman
Tudor S. Ratiu
Gerhard Ringel
Marshall Sylvan
Harold Widom

Lecturer

Frank Bäuerle
Nandini Bhattacharya
Mark R. Eastman
Yonatan Katznelson
Edward Migliore
Richard R. Mitchell