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 and their specializations such as Hall-Littlewood and q-Whittaker functions. More recently I am focusing on LLT polynomials and their generalizations. In my research I have worked with combinatorial models of various symmetric functions involving fillings of Young diagrams, Dyck paths, and algebraic tools such as finite, affine and double affine Hecke algebras, and representation theory of Kac-Moody Lie algebras.
email id: matharitra@gmail.com
Preprints and Publications
- A tableaux formula for q-rook numbers, with Tirtharaj Basu, arxiv: 2507.00766, to appear in ALgebraic COmbinatorics.
- Equating Inv-Quinv formulas for the q-Whittaker and modified Hall-Littlewood functions, The Electronic Journal of Combinatorics, Volume 32, Issue 4 (2025), 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
Some of my presentations are listed here.