My current research focuses on studying invariants associated to varieties equipped with a group action. One such invariant is Amitsur group, which measures the failure of the group action on variety to lift to the total spaces of its line bundles. I am working on classifying the Amitsur groups for smooth Fano threefolds. 

Some other topics of my interest are: 

• Rationality of algebraic varieties

• (on the equivariant side) Linearizability of group actions

• Automorphisms of algebraic varieties, in particular Fano varieties. 

                                                                                   Preprints

• The numerical Amitsur group, with Alexander Duncan (To Appear in Taiwanese J. of Mathematics, arXiv:2505.23957) 

We introduce the "numerical Amitsur group," which is an approximation of the ordinary Amitsur subgroup. We also find a uniform bound on the exponent of Amitsur groups and give a way to compute it for toric varieties.

•  Actions on the Picard group of smooth Fano threefolds, preprint (arXiv:2511.12447 )

    We classify the possible images of the action of the group of automorphisms of a smooth Fano threefold on its Picard group. We also study the first group cohomology of the Picard group for families of smooth Fano threefolds. 

 Ongoing Projects

• Amitsur group of smooth Fano threefolds.

        Expository Writing

• Here is a report I wrote in a course on representation theory: On Invariant theory of Finite groups. 

• During my Master's, I explored elliptic curves. My master's thesis was on Mordell-Weil theorem over number fields. Here is a draft.