# 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, representation theory, and algebra with applications to science and engineering.

**Tenured and tenure-track faculty in algebra**

Dima Arinkin: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.

Eric Bach: (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)

Nigel Boston: (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)

Andrei Caldararu: (Cornell, 2000) Algebraic geometry, homological algebra, string theory.

Tullia Dymarz: (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis.

Jordan Ellenberg: (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.

Daniel Erman: (Berkeley, 2010) Algebraic geometry and commutative algebra

Shamgar Gurevich: (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.

Paul Terwilliger: (Illinois, 1982) Combinatorics, representation theory and special functions.

Melanie Matchett Wood: (Princeton, 2009) Number theory and arithmetic geometry.

Tonghai Yang: (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.

**Postdoctoral fellows in algebra**

Robert Harron: (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.

Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology

Sean Rostami: (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties

Owen Sizemore: (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups

**Seminars in algebra**

The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.

Algebraic Geometry Seminar (Fridays at 2:30)

Applied Algebra Seminar (Thursdays 11)

Combinatorics Seminar (Mondays at 2:25)

Lie Theory Seminar (Mondays at 1:20 in VV901)