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, 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.
  
'''Faculty in algebra'''
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'''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.
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[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.
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[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.
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 +
Martin Isaacs:  Group theory, algebra.
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[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. 
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[http://www.math.wisc.edu/~passman/ Donald Passman:]  Ring theory, group theory, group rings and enveloping algebras of Lie algebras.
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[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:]  Combinatorics, representation theory and special functions.
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[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.