Currently, I am a PMRF Research Fellow at Mathematics department in IIT Madras.

My Research Interest are in Harmonic analysis and related problems. As part of my Ph.D. work, I am investigating the large time stabilisation criteria for solutions to the heat equation on various geometric settings including Euclidean space, certain complete Riemannian manifolds of non-negative curvature, Rank one symmetric spaces, Damek–Ricci spaces, and Homogeneous Trees.

Lately, I am also learning Complex Geometry with a special interest in equivalences of invariant metrics.

I am presently collaborating with Prof. Muna Naik from IISc and Prof. Geonhee Cho from the Texas State University.

Publications & Preprints

1. A necessary condition for the stabilization of solutions to the heat equation in Damek--Ricci spaces (with Muna Naik), 25pp (submitted)
2. Characterisation for the stabilization of solutions to the heat equation in $\mathbb{R}^n$ with $L^p$ initial data. (with Muna Naik), 25pp, revising.

About Me

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Teaching & Outreach

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