Welcome to my homepage! I am a mathematician with research interests in algebra and combinatorics. I obtained my Ph.D. at IIT Bombay under the supervision of Sudhir Ghorpade. After a brief stint at the Indian Statistical Institute Bangalore, I spent a year at the Institut de Mathématiques de Marseille (Aix-Marseille University) on an Archimedes postdoctoral fellowship working with Gilles Lachaud. Subsequently, I held postdoctoral positions at the Indian Institute of Science and the Harish-Chandra Research Institute.
In my early work, the primary focus was on enumeration problems arising in cryptography that involve counting points on varieties over finite fields and, in particular, a problem of Niederreiter on splitting subspaces. More recently, I have become interested in enumerative and algebraic combinatorics in the setting of finite fields. Some of my work in this context concerns a problem posed by Bender, Coley, Robbins, and Rumsey on subspace profiles of linear operators on finite vector spaces. I am also interested in chromatic quasisymmetric functions and Hessenberg varieties.
My papers are here.
Undergraduate students:
Siddhartha Jain
Former Ph.D. Students:
Akansha Arora
Divya Aggarwal
Selected events:
International Conference on Enumerative Combinatorics and Applications, August 2025.
37th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2025), Hokkaido University, Sapporo, Japan, July 2025.
Algebraic Combinatorics Virtual Expedition (AlCoVE 2025), May 2025.
International Conference on Enumerative Combinatorics and Applications, August 2024.
Algebraic Combinatorics Virtual Expedition (AlCoVE 2024), June 2024.
19th Annual International Conference on Srinivasa Ramanujan, Srinivasa Ramanujan Centre, Kumbakonam, India, December 2023.
International Conference on Algebraic Geometry, Coding Theory and Combinatorics, IIT Hyderabad, India, December 2023.
Southern Regional Algebra Conference (SRAC), Tulane University, New Orleans, March 2023.
34th International Conference on Formal Power Series & Algebraic Combinatorics (FPSAC 2022), Indian Institute of Science Bangalore, July 2022.