Hi! I am a PhD student in Mathematics at Louisiana State University, advised by Dr. Pramod N. Achar. My thesis is on quiver varieties associated to the category of some G-equivariant perverse sheaves on Mn(C), with coefficients in a field of any characteristic. Before LSU, I completed a dual B.S.–M.S. in Mathematics at IISER Bhopal, India, advised by Dr. Kumar Balasubramanian.
Education
Research
My research interests lie in geometric representation theory, with an emphasis on perverse sheaves and quiver varieties arising in the modular representation theory of algebraic groups and finite groups of Lie type. My recent work explores:
- Categories of G-equivariant perverse sheaves on Mn(C) and their description as representations of an explicit quiver with relations
- Extensions of this quiver-theoretic description to the moduli stack of two-term perfect chain complexes
- Twisted Jacquet modules and Clifford theory for finite groups of Lie type (JNT '25)
News
- 10/2026: Giving a talk at the AMS Sectional Meeting, University of Minnesota–Duluth (Special Session on Algebra and Representation Theory).
- 08/2026: Started as Instructor for Math 1550, Section 30 (Differential and Integral Calculus), LSU.
- 07/2026: Attended the ICM Satellite Workshop on Algebra and Representation Theory, University of Virginia.
- 05/2026: Attended the RTG FRC Workshop on Quantum Group Representation, LSU.
- 01/2026: Started as Organizer of the Student Representation Theory Seminar at LSU (topic: Soergel Bimodules).
- 2025: Preprint published — "On a twisted Jacquet module of GL2n(C) over a finite field," Journal of Number Theory.
- 2025: Received the Certificate of Teaching Excellence, LSU Department of Mathematics.
- 08/2025: Attended WARTHOG at the University of Oregon (Cluster Algebras and Braid Varieties).
- 2024–2025: Served as President of the Indian Students' Association, LSU.
- 2022: Started PhD in Mathematics at Louisiana State University, advised by Dr. Pramod N. Achar.
Selected Publications
Awards & Fellowships
Talks, Workshops & Schools
Teaching & Service
- Math 1550, Section 30 — Differential and Integral Calculus (Fall 2026)
- Math 1550, Section 5 — Differential and Integral Calculus (Spring 2026)
- Math 1540, Section 1 — Integral Calculus (Fall 2025)
- Algebra Qualifying Exam Preparation Course (Summer 2024)
- Math 1021, Sections 10, 11, and 23 — College Algebra (Fall 2023)
- Math 2057, Sections 1 and 4 — Multidimensional Calculus (Summer 2023)
Student Representation Theory Seminar on Soergel Bimodules, LSU (2026–Present); GEAUX Math Orientation Program, LSU (Summer 2024)
Directed Reading Program, LSU — mentored Ryan MacDonald (Fall 2023)
President, Indian Students' Association, LSU (2024–2025) — secured Purple Organization recognition and the Best Service Event award; Sports Coordinator, Indian Students' Association, LSU (2023–2024); Treasurer, LSU Tiger Cricket Club (2023–2024)
Miscellaneous
Outside of math, I enjoy playing cricket — I served as Treasurer of the LSU Tiger Cricket Club and as Sports Coordinator for the Indian Students' Association at LSU.