Anne Schilling
Home page:
http://www.math.ucdavis.edu/~anne/
Position: Professor
Year joining UC Davis: 2000
Degree: Ph.D. (in Physics), 1997, State University of New York at Stony Brook
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
Professor Anne Schilling studies quantum algebras and
representation theory
using combinatorial methods. In particular she is interested in affine crystal graphs [2], which first arose in the exactly solvable lattice models in
statistical mechanics.
Currently, she is also involved in the study of affine
Schubert calculus [1]. This project is part of the NSF funded Focused Research Group "Affine Schubert Calculus: Combinatorial, geometric, physical, and computational aspects".
For more information see
here
Selected Publications
[1]
Schubert Polynomials for the affine Grassmannian of the symplectic group (with Thomas Lam and Mark Shimozono),
arXiv:math/0710.2720 [math.CO].
[2]
Existence of Kirillov-Reshetikhin crystals for nonexceptional types (with Masato Okado),
arXiv:math/0706.2224 [math.QA].
[3]
X=M Theorem: Fermionic formulas and rigged configurations under review
MSJ Memoirs 17 (2007) 75-104 (published by the Mathematical Society of Japan).
[4]
A bijection between Littlewood-Richardson tableaux and rigged configurations (with Anatol N. Kirillov and Mark Shimozono),
arXiv:math/9901037 [math.CO].
[5]
Inhomogeneous lattice paths, generalized Kostka polynomials and A_{n-1} supernomials (with S. Ole Warnaar), Commun. Math. Phys. 202 (1999) 359-401,
arXiv:math/9802111 [math.QA].
Honors and Awards
- Humboldt Research Fellowship (2002)
- Faculty Research Development Award (2006)
- Chancellor's Fellowship 2006
- NSF Focused Research Group "Affine Schubert Calculus:
Combinatorial, geometric, physical, and computational aspects"
(2007-2010)
Last updated: 2008/02/12
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