I am working on a variety of questions concerning the representation theory of affine Kac-Moody Lie algebras and algebraic combinatorics using crystal theory and symmetric polynomials. I am also interested in exploring Macdonald polynomials and their connections with representations of current Lie (Super)algebras, such as Weyl modules and Demazure modules.
Preprints:
Tensor decomposition of Demazure crystals for symmetrizable Kac-Moody Lie algebras, Arxiv
Rigidity of cohomology automorphisms of homogeneous spaces and coincidence theory, (with Manas Mandal), Arxiv (accepted in Proceedings of the Royal Society of Edinburgh Section A)
Graded representations of current Lie superalgebra sl(1|2)[t] (with Shushma Rani), Linear Algebra and its Applications, Volume 727, (2025), Pages 178-202. Journal
Filtration of tensor product of local Weyl modules for sl_{n+1}[t] (with Shushma Rani and Tanusree Khandai), Journal of Algebraic Combinatorics, Volume 61 (2025), no. 4, Paper No. 54, 49 pp. Journal
Demazure filtration of tensor product modules of current Lie algebra of type A_1 (with Tanusree Khandai), Algebras and Representation Theory, Volume 28 (2025), no. 2, 679–707. Journal