Aritra Bhattacharya
I am Aritra Bhattacharya. I am a Ph.D. student in mathematics at the Institute of Mathematical Sciences, Chennai, India. My supervisor is 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: baritra@imsc.res.in , matharitra@gmail.com
Preprints and Publications
- Monomial expansions for q-Whittaker and modified Hall-Littlewood polynomials, with T V Ratheesh, Sankaran Viswanath, arxiv: 2311.07904
- Clebsch-Gordan coefficients for Macdonald polynomials, with Arun Ram, arxiv: 2310.10846
- Haglund's positivity conjecture for multiplicity one pairs, Séminaire Lotharingien de Combinatoire, B87b (2023), arxiv: 2205.11802
Talks
- 15 minute talk on Haglund's Conjecture for Multiplicity one pairs Summer School in Algebraic Combinatorics, Kraków, 2022, slides
- 1 hour talk on Macdonald Symmetric Functions and Haglund's conjecture in Graduate Online Combinatorics Colloquium, 2022, video: Recorded Talk
- 1 hour talk on Haglund's positivity conjecture for Macdonald polynomials in University of Melbourne, March 2023.
- 25 minute talk on Haglund's positivity conjecture for Macdonald polynomials in Meru Combinatorics Conference, May 29, 2023.
- 1 hour talk on The Clebsch-Gordan rules for Macdonald polynomials at IMSc, October 26, 2023.
- 20 minute talk on The Clebsch-Gordan coefficients for Macdonald polynomials in Algebraic and Combinatorial Methods in Representation Theory, ICTS, November 14, 2023, slides.
Posters
- Poster at ALCOVE 2023 on The Clebsch-Gordan rules for Macdonald polynomials
Academic Visits
- Visited University of Melbourne to work with Arun Ram from February 2023- March 2023.
Workshops and Conferences attended
- Combinatorial Models in Representation Theory NCM workshop, Institute of Mathematical Sciences, India, 2019
- Discussion Meeting on Representation Theory, Indian Institute of Science, Bangalore, 2019
- IMSc Algebraic Combinatorics Seminar, online, 2020
- Discussion Meeting on Representation Theory, Indian Institute of Science, online, 2020
- Workshop on Macdonald Polynomials, online, 2021
- Algebra, Representation Theory, Combinatorics and Symmetric Functions in India, online, 2021-2022
- Lectures on Macdonald Polynomials given by Arun Ram, The University of Melbourne, attended online, 2022
- Open Problems in Algebraic Combinatorics, University of Minnesota, attended online, 2022
- Important Papers in Algebraic Combinatorics, online, 2022-ongoing
- The Geometry and Combinatorics of Hessenberg Varieties, ISM Discovery School, attended online, 2022
- Summer School in Algebraic Combinatorics, Kraków, 2022
- Formal Power Series and Algebraic Combinatorics, Indian Institute of Science, 2022
- Meru Combinatorics Conference, Pondicherry University, 2023
- ALCOVE, 2023
- Algebraic and Combinatorial Methods in Representation Theory, ICTS, November 2023
Technical Skills
Sagemath, LaTeX
Miscellaneous
- I was TA for NPTEL algebraic combinatorics course Jan-Apr 2023.
- Together with Amritanshu Prasad, I co-organized the IMSc Algebraic Combinatorics Seminars in 2023.
- During September-November of 2022 I gave a lecture series in IMSc on Macdonald polynomials following the book Affine Hecke algebras and Orthogonal polynomials by Macdonald.