## 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

**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]**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]**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

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