Rekha Biswal

Research

I am interested in the representation theory of infinite-dimensional Lie algebras, especially its intersection with algebraic combinatorics and number theory (modular forms, mock-theta functions).

Publications

  1. R. Biswal, G. Fourier; Minuscule Schubert Varieties: Poset Polytopes, PBW-degenerated Demazure Modules, and Kogan Faces, Algebras and Representation Theory, 18 , (2015), Issue 6, pages 1481-1503.[arXiv:1410.1126]
  2. R. Biswal, V. Chari, L. Schneider, S. Viswanath; Demazure Flags, Chebyshev Polynomials, Partial and Mock Theta functions, Journal of Combinatorial Theory, Series A, 140 , (2016), pages 38-75. [arXiv:1502.05322]
  3. R. Biswal, V. Chari, D. Kus; Demazure Flags, q-Fibonacci Polynomials and Hypergeometric Series, Research in the Mathematical Sciences. (accepted - Oct 2017) [arXiv:1607.01069]

Papers Submitted/In Preparation

  1. R. Biswal, D. Kus; A combinatorial formula for graded multiplicities in excellent filtrations. (submitted, 25 pages). [arXiv:1712.02667]
  2. R. Biswal, A. Chakhar, X. He; Classification of rank two Lie conformal algebras (submitted, 23 pages).[arXiv:1712.02667]
  3. R. Biswal, T. Scrimshaw; Kirillov Reshetikhin crystals B^{7,s} for type E_7^1 (submitted, 12 pages).[arXiv:1901.00182]
  4. R. Biswal, V. Chari, P. Shereen, J. Wand; Demazure Flags for \(A_n^{(1)}\) case and Cone Theta functions (preprint, ≈ 30 pages).