Research at UW-Madison in Algebra: Difference between revisions

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== '''Research at UW-Madison in algebra''' ==
#REDIRECT [[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'''
 
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata.  (Joint appointment with CS.)
 
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) 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:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.
 
[http://www.math.yale.edu/~td252/ 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.
 
[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:] (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.
 
[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:] (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras.
 
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions.
 
[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.
 
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'''
 
[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.
 
[http://www.math.mcgill.ca/bcais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.
 
[http://www.math.wisc.edu/~mehrotra/ Sukhendu Mehrotra:] (Penn, 2005) Algebraic geometry, homological algebra and string theory,
specifically, derived categories of coherent sheaves on algebraic varieties.

Latest revision as of 16:04, 29 August 2011

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