# Research at UW-Madison in Algebra

**Research at UW-Madison in algebra**

UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, and representation theory.

**Tenure-track faculty in algebra**

Nigel Boston: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering.

Andrei Caldararu: Algebraic geometry, homological algebra, string theory.

Tullia Dymarz: (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis.

Jordan Ellenberg: Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.

Shamgar Gurevich: Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.

Martin Isaacs: Group theory, algebra.

Ken Ono: (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions.

Donald Passman: Ring theory, group theory, group rings and enveloping algebras of Lie algebras.

Paul Terwilliger: Combinatorics, representation theory and special functions.

Tonghai Yang: number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.