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.

Links

Indian Institute of Technology, Kanpur
UC Berkeley math department
UC Davis math department