# 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.

**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.

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.

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