Research at UW-Madison in Algebra

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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.

Tenure-track faculty in algebra

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.

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

Tullia Dymarz: (Chicago, 2007) (arrives Fall 2011) 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.

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

I. Martin Isaacs: (Harvard, 1964) Group theory, algebra.

Ken Ono: (UCLA, 1993) (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions.

Donald Passman: (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras.

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

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.

Many other senior faculty members have interests which bring them into frequent contact with algebra and algebraists, including Yong-Geun Oh, Sean Paul, and Stephen Wainger.

Postdoctoral fellows in algebra

David Brown: (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.

Bryden Cais: (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.

Sukhendu Mehrotra: (Penn, 2005) Algebraic geometry, homological algebra and string theory, specifically, derived categories of coherent sheaves on algebraic varieties.