I am Digjoy Paul, Assistant Professor in the Department of Mathematics at SRM University, Andhra Pradesh. My research lies at the interface of representation theory and algebraic combinatorics.

Research Interests

I study how algebraic symmetries decompose and how these decompositions can be modeled using combinatorial and diagrammatic structures.

• Tensor products and restriction of representations

• Diagram algebras (partition and multiset partition algebras)

• Symmetric functions, plethysm, and character polynomials

• Combinatorial structures: Greene invariants, q,t-Catalan polynomials, immersion posets
  
  

Current focus: character table asymptotics and Fields’ conjecture; Kronecker coefficients via simultaneous conjugacy classes and Hecke algebras; Johnson-type schemes and alternating tensor representations.

My work connects to statistical mechanics, computational complexity, and experimental mathematics, and is supported by regular use of Python, SageMath, and GAP in both research and teaching.

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 - December 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.