I am broadly interested in equivariant side of birational geometry. My current research focuses on studying invariants associated to G-varieties. One such invariant is Amitsur group, which measures the failure of the G-action to lift to the total spaces of its line bundles. I am working on the classification of Amitsur groups of smooth G-Fano threefolds. 

When I am not thinking about Amitsur groups, I am exploring rationality of algebraic varieties and linearizability of group actions. I have also recently become interested in learning more about the automorphism group of varieties, particularly 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.

   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.