I am a DST-INSPIRE Faculty fellow at IIT Jodhpur from September 2022. Before that, I was an NBHM postdoctoral fellow at Chennai Mathematical Institute from January 2020 to September 2022 and a postdoctoral fellow at Chennai Mathematical institute from January 2018 to December 2019. I completed my Ph.D. at Tata Institute of Fundamental Research, Mumbai under the supervision of Prof. V. Trivedi in March 2018.

Education:

• Ph.D.: Tata Institute of Fundamental Research, Mumbai, August 2012- March 2018.
• M.Sc.: TIFR Centre for Applicable Mathematics, Bengaluru, August 2009- July 2011.
• B.Sc.: Jadavpur University, Kolkata, August 2006- July 2009.

Experience:

• Sep 2022-present: INSPIRE Faculty Fellow, IIT Jodhpur.
• 2020-Sep 2022: NBHM Postdoctoral Fellow, Chennai Mathematical Institute.
• 2018-2019: Postdoctoral Fellow, Chennai Mathematical Institute.

Research:

Broadly, my research interest lies in the areas of Commutative Algebra and Algebraic Geometry.

I enjoy thinking about problems pertaining to singularities in characteristic p>0. In particular, I work on problems related to Hilbert-Kunz multiplicity, Hilbert-Kunz density function, Density functions for the second coefficient of the Hilbert-Kunz function, asymptotic growth of the Hilbert-Kunz multiplicity relative to the Hilbert Samuel multiplicity, etc.

I also work on properties of the invariant ring of a finite p-group in characteristic p. In particular, I study representation with a polynomial invariant ring, ramification locus for the inclusion of the invariant ring in the polynomial ring, etc.

I am also interested in varieties with rich combinatorial structures (e.g. toric varieties). I like to associate the algebraic properties of the coordinate ring with the combinatorial/topological structure that is associated to the variety.