Dr. Rekha Biswal is Assistant Professor of Mathematics at the National Institute of Science Education and Research (NISER), Bhubaneswar. Her research focuses on representation theory, algebraic combinatorics, and Lie theory, with particular emphasis on Kac-Moody algebras, crystal bases, and quantum groups. Her work explores the combinatorial and algebraic structures underlying representations of infinite-dimensional Lie algebras, tensor product decompositions, and symmetric functions. Through the development of new crystal-theoretic and combinatorial techniques, she has contributed to several fundamental problems in representation theory and its connections with algebraic combinatorics.
Dr. Biswal received her integrated PhD in Mathematics from the Institute of Mathematical Sciences, Chennai. She subsequently held postdoctoral positions at Université Laval, the Max Planck Institute for Mathematics in Bonn, and the University of Edinburgh before joining NISER in 2022. She has also served as Visiting Professor and Foreign Researcher at the Institut Camille Jordan, University of Jean Monnet, France. Her achievements have been recognized through several awards and fellowships, including the Odisha Young Scientist Award.
As a Fulbright-Nehru scholar, Dr. Biswal is focusing on the Schur positivity conjecture, a long-standing open problem in algebraic combinatorics. In collaboration with Professor Pavlo Pylyavskyy at the University of Minnesota, she will develop new combinatorial and crystal-theoretic methods to study tensor product multiplicities and advance understanding of symmetric functions and representation theory.