# Difference between revisions of "Research at UW-Madison in Algebra"

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− | 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 | + | 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''' | '''Tenure-track faculty in algebra''' | ||

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[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields. | [http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields. | ||

− | [http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] Geometric representation theory, with applications to harmonic analysis, | + | [http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules. |

− | signal processing, mathematical physics, and three-dimensional structuring of molecules. | ||

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

− | [http://www.math.wisc.edu/~ono/ Ken Ono]: (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. | + | [http://www.math.wisc.edu/~ono/ Ken Ono]: (UCLA, 1993)(on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. |

− | [http://www.math.wisc.edu/~passman/ Donald Passman:] | + | [http://www.math.wisc.edu/~passman/ Donald Passman:] (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras. |

− | [http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] | + | [http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. |

− | [http://www.math.wisc.edu/~thyang/ Tonghai Yang:] number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves. | + | [http://www.math.wisc.edu/~thyang/ 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. |

## Revision as of 18:32, 26 July 2010

**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.