Research Interests
Lie algebras, Vertex algebras, Representation theory and Algebraic combinatorics.
Publications
My research papers and preprints can be found on:
arXiv
Google Scholar
Ph.D Students
- Sachin Sharma
- Venkatesh Rajendran
- Rekha Biswal
- G. Arunkumar
- Krishanu Roy (co-supervised)
- Mrigendra Singh Kushwaha
- Aritra Bhattacharya
- V Sathish Kumar
- Siddheswar Kundu
- Ratheesh TV (co-supervised)
- If you are a prospective student, please note that I will not be accepting fresh Ph.D students at the present time.
Video Library
Online Courses & Playlists (NPTEL, IITM CODE)
- An Invitation to Mathematics (NPTEL | YouTube)
- Algebra I (NPTEL | YouTube)
- Algebra II (NPTEL | YouTube)
- Algebraic Combinatorics (NPTEL | YouTube)
- Mathematical Thinking (YouTube)
Research Seminars
- 2025q-Whittaker Polynomials: Bases, Branching and Direct Limits
- 2023Refinements of Littlewood Richardson coefficients and saturation
- 2020Saturation for refined Littlewood Richardson coefficients (Part 1 | Part 2)
- 2012Unique factorization of tensor products
Instructional Workshops
- 2024TEW: Linear Algebra Through Data Science
- 2021Instructional Workshop on Macdonald Polynomials
- 2019NCMW Combinatorial Representation Theory
- 2011AIS Lie Algebras
Public Lecture
- 2026The secret life of everyday numbers (Science at the Sabha). The slides are here.
Lectures for students & teachers of schools/colleges
- 2024Permutations, partitions, patterns: a mathematical exploration
- 2024Playing with Pascal's triangle (in Tamil)
- 2023Permutations which avoid patterns
- 2019Matrix representations
- 2017When Algebra meets combinatorics
- 2016Calculus (Part 1 | Part 2)
- 2015Permutation pictures
- 2015Combinations with restrictions
- 2014Classical identities and Lie algebras
- 2014Gelfand-Tsetlin patterns (Sage days)
- 2014Programming for Mathematics (Sage/Python)
- 2014Permutations and Combinations
- 2013Partitions
- 2012Linear algebra (Part 1 | Part 2)
Some past courses
-
AIS on Lie algebras, CMI, July 4-23, 2011 (lecture notes, problem sets)
- August-December 2012: Lie algebras and their representations (course)
- August-December 2018: Algebra-I (course)
Other writing projects
- NCERT Class 6 and 8 Mathematics textbooks (as member of textbook development team).
- Mathematics puzzles for middle school (with Manikandan Sambasivam) (Thulir magazine, in Tamil).