S. Viswanath
S. Viswanath
Visiting Research Assistant Professor
Research Interests :
Representation theory of infinite dimensional Lie algebras (algebraic and
combinatorial aspects),
special functions associated to their root systems.
Papers, Preprints, Thesis :
1. Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras : Preprint.
2. A note on exponents
vs root heights for complex simple Lie algebras : Electronic journal of combinatorics, 13(1), 2006,
note N22.
3.
Poincare series of subsets of affine Weyl groups :
Proceedings of the AMS, to appear.
4. On growth types of quotients
of Coxeter groups by parabolic subgroups : Communications in Algebra, to appear.
5. Dynkin diagram sequences and stabilization phenomena
: Communications in Algebra, 34 (2006), pp 3903 - 3933.
6.
Tensor product stabilization in Kac-Moody algebras
(with M.Kleber
): Advances in Mathematics, v201 (2006), pp 1-35.
7. My Ph.D Thesis (U.C. Berkeley, 2004).
Teaching
Spring Quarter 2007:
Mat 146 (algebraic combinatorics)
Mat 21A (Calculus)
Discrete math and representation theory seminar
For courses taught in previous quarters, click here.