UC Davis Mathematics

Anne Schilling

Combinatorics and representation theory
Ph.D. (in Physics), 1997, State University of New York at Stony Brook
Refereed publications: Via Math Reviews

Web Page: http://www.math.ucdavis.edu/~anne/
Email: anne@math.ucdavis.edu
Office: MSB 3222
Phone: 530-754-0497


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. She is also involved in the study of affine Schubert calculus[1], which is a vast generalization of classical Schubert calculus. Many parts of her research involve computational experimentation. She is an active developer for Sage, http://www.sagemath.org/.

Selected Publications

  • [1] "The biHecke monoid of a finite Coxeter group and its representations," (with Florent Hivert and Nicolas Thiery), to appear in Algebra and Number Theory Journal, arXiv:1012.1361[math.CO].

  • [2] "The Murnaghan-Nakayama rule for k-Schur functions,"(with Jason Bandlow and Mike Zabrocki), Journal of Combinatorial Theory, Series A, 118(5): 1588-1607, 2011. Full Text, (arXiv:1004.4886 [math.CO]).

  • [3] "K-theory Schubert calculus of the affine Grassmannian," (with Thomas Lam and Mark Shimozono), Compositio Mathematica, 146(4): 811-852, 2010. Full Text, (arXiv:0901.1506 [math.CO]).

  • [4] "Kirillov-Reshetikhin crystals for nonexceptional types," (with Ghislain Fourier and Masato Okado), Advances in Mathematics, 22(3): 1080-1116, 2009. Full Text, (arXiv:0810.5067 [math.RT]).

  • [5] "Thematic Sage Tutorial on Lie methods and related combinatorics," (with Daniel Bump, Stanford). See http://www.sagemath.org/doc/thematic_tutorials/lie.html.

    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
    • Simons Fellowship, 2012-2013

    Last updated: 2012-04-19