Aritra Bhattacharya
I am currently a postdoc at Beijing International Center for Mathematical Research, Peking University. I completed my Ph.D. in mathematics from the Institute of Mathematical Sciences, Chennai, India in April 2024, my Ph.D. supervisor was Prof. S. Viswanath.
My main research interest is in algebraic combinatorics, in particular I have worked on symmetric functions and Macdonald polynomials.
I am also interested in representation theory, in particular of Kac-Moody algebras and associated objects e.g, quantum groups and vertex algebras.
email id: matharitra@gmail.com
Preprints and Publications
- Equating Inv-Quinv formulas for the q-Whittaker and modified Hall-Littlewood functions, arxiv: 2412.09929
- q-Whittaker polynomials: bases, branching and direct limits, with T V Ratheesh and Sankaran Viswanath, arxiv: 2412.00116
- The monomial expansion formula for Hall-Littlewood P-polynomials, arxiv: 2407.14652
- Monomial expansions for q-Whittaker and modified Hall-Littlewood polynomials, with T V Ratheesh and Sankaran Viswanath, FPSAC 2024 extended abstract, arxiv: 2311.07904
- Clebsch-Gordan coefficients for Macdonald polynomials, with Arun Ram, Algebras and Representation Theory (2024), arxiv: 2310.10846
- Haglund's positivity conjecture for multiplicity one pairs, Seminaire Lotharingien de Combinatoire, B87b (2023), arxiv: 2205.11802