Mathematics

2015-16 General Catalog

4111 McHenry
(831) 459-2969
http://www.math.ucsc.edu

Program Statement | Course Descriptions

Faculty and Professional Interests

Professor

Robert Boltje
Group theory, representation 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

Torsten Ehrhardt
Functional analysis, Operator theory, Random matrix theory, Banach algebras, Wiener-Hopf factorization, Toeplitz and Hankel operators

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

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

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

Associate Professor

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

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

Assistant Professor

Longzhi Lin
Geometric analysis and geometric partial differential equations

Junecue Suh
Number theory and arithmetic algebraic geometry

Emeriti

Ralph H. Abraham

Nicholas Burgoyne

Arthur E. Fischer

Marvin J. Greenberg

Al Kelley

Edward M. Landesman

Tudor S. Ratiu

Gerhard Ringel

Maria Schonbek

Marshall Sylvan

Harold Widom

Lecturer

Frank Bäuerle

Abraham Berman

Nandini Bhattacharya

Mark R. Eastman

Yonatan Katznelson

Edward Migliore

Richard R. Mitchell

Revised: 09/01/15