Research Interest

 My research lies at the interface of representation theory and algebraic combinatorics. I study how algebraic symmetries decompose and interact, and how these processes are reflected in combinatorial and diagrammatic structures. These symmetry-based frameworks naturally lead to problems in algebraic combinatorics, such as Schur positivity of symmetric polynomials, Young tableau correspondence, and Crystal structures, as well as in Catalan combinatorics.

• Kronecker coefficients via simultaneous conjugacy classes and Hecke-type algebras

• Asymptotics of character table sums and Fields’ conjecture

• Diagram algebra for alternating tensor representations  and  Johnson-type schemes

Experiments:

I use computational tools such as SageMath, GAP, and Python to support experimentation and guide theoretical developments.

Postdoctoral Positions

• Indian Institute of Science,  Bangalore, January 2023-December 2025 (CV Raman Fellow, Research Associate III, and NBHM PDF). Mentor: Prof. Arvind Ayyer.

• Chennai Mathematical Institute, August 2022 - January 2023.

• Tata Institute of Fundamental Research, Mumbai, October 2020--July 2022.

Education

• P.hD., Mathematics, The Institute of Mathematical Sciences, Chennai, August 2015 -October 2020.                             

Thesis Supervisor: Prof. Amritanshu Prasad, Thesis Title:  The Multiset Partition Algebra.

(Reviewed by Prof. Mike Zabrocki, York University, Canada, and Prof. Upendra Kulkarni, Chennai Mathematical Institute, India.)

• M.Sc., Mathematics, Indian Institute of Technology Madras, 2012-2014.

• B.Sc., Mathematics, Midnapore College,  2009-2012.