Brant Jones

        Department of Mathematics
One Shields Avenue
University of California
Davis, CA 95616


email: brant (a t) math (d o t) ucdavis (d o t) edu


I am a VIGRE assistant professor interested in algebraic and enumerative combinatorics related to the representation theory of Coxeter groups and Hecke algebras. I received my Ph.D. in May 2007 at the University of Washington where my thesis advisor was Sara Billey.


Current Projects


Summer 2009 Conferences:
  Geometric Representation Theory and Extended Affine Lie Algebras
  Permutation Patterns
  Formal Power Series & Algebraic Combinatorics
  MathFest

In 2009-10, I will be running a Research Focus Group (RFG) on Applications of Representation Theory.


Teaching


Previous clases include:


Papers, (with descriptions)


Software
  • liberiksson C++ library
    An expanded version liberiksson is available. This software implements a "numbers game" of Kimmo Eriksson, as described in his Ph.D. thesis and "Combinatorics of Coxeter groups" by Bjorner--Brenti. There are also client programs which classify the Deodhar elements of finite Coxeter groups by embedded factor containment, and verify that the mu coefficients in Kazhdan--Lusztig polynomials associated to these elements are always 0 or 1. The software also supports ad hoc calculations of these Kazhdan--Lusztig basis elements and the underlying combinatorial model due to Deodhar.