My broad area of research is Representation Theory of Lie Groups and Automorphic Forms. I work on the various Isospectrality notions of Locally Symmetric Spaces from Representation Theoretic point of view. In the recent past I have been working on Integral p-adic Hodge theory and p-adic Galois representations.
Research Articles :
On Representation Equivalence and Multiplicity Measure for Lattices in Lie Groups. (with Chandrasheel Bhagwat).
On Infinitesimal 𝝉-Isospectrality of Locally Symmetric Spaces.(with Chandrasheel Bhagwat and Gunja Sachdeva) Canadian Mathematical Bulletin,Volume 68, Issue 1, March 2025, pp. 246-261.
A Finite Linear Dependence of Discrete Series Multiplicities.(with Gunja Sachdeva).
Talks and Presentations :
Two talks in Student Seminar at the Department of Mathematics at IISER Pune (14th August and 21st August); "An Introduction to Adic Spaces I & II" (The transcript of the board talk will be uploaded soon).
Research Talk at Indian Institute of Technology, Bombay on 16th June, 2025, hosted by Dipendra Prasad; "A Finite Linear Depedence of Discrete Series Multiplicities" (It is the transcript of the board talk).
Research Talk at BITS Pilani, Goa Campus on 24th April, 2025, hosted by Gunja Sachdeva; "Representation Equivalence and Isospectrality of Locally Symmetric Spaces" (It is the transcript of the board talk).
International Conference on Algebra, Analysis, Dynamics and its Application, 22nd - 26th Jan, 2025 on the occasion of 100 year celebration of Math Department at at Midnapore College (Autonomous) "On the Coarse Expansion of Arthur's Trace Formula " (It is the pdf of the Keynote Presentation slides).
Mathematics Departmental Symposium at IISER Pune (10-11 Jan, 2025) "On Infinitesimal 𝝉-Isospectrality of Locally Symmetric Spaces"(It is the transcript of the board talk).
Departmental Seminar at IISER Pune on 10/07/24 "Representation Equivalence and Isospectrality" (It is the pdf of the Keynote Presentation slides).