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

Line 4: | Line 4: | ||

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. | 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''' |

[http://www.math.wisc.edu/~boston/ Nigel Boston:] Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. | [http://www.math.wisc.edu/~boston/ Nigel Boston:] Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. | ||

+ | |||

+ | [http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] Algebraic geometry, homological algebra, string theory. | ||

[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. | [http://www.math.yale.edu/~td252/ Tullia Dymarz:] (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. | ||

− | [http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] Arithmetic geometry and algebraic number theory. | + | [http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] 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:] 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. | ||

+ | |||

+ | [http:// 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/~passman/ Donald Passman:] Ring theory, group theory, group rings and enveloping algebras of Lie algebras. | ||

+ | |||

+ | [http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] 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. |

## Revision as of 18:23, 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, 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.

[http:// 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.

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.