Research Experience

My current research interests lie in Data Science, Applied Statistics and Bayesian Inference. In particular, I am interested in applying ML and Bayesian methods to the following domains:

• Education
• Sports Analytics
• Bioinformatics

I am also interested in developing webtools and dashboards that highlight various projects in the above fields.

My PhD research was in the Arithmetic Geometry of Curves, predominantly the Lifting Problem.

The Lifting Problem poses the following question: Given a smooth algebraic curve X defined over characteristic p > 0, and a finite group G of automorphisms of the curve, can we lift both (X, G) to characteristic 0?

The early motivation for this question lies in trying to develop a Riemann Existence Theorem for algebraic curves in characteristic p > 0, that is, to parametrize the branched covers of such curves over char p using some kind of group theory data.

The Local Lifting Problem transfers the above question to a local case via a Local-to-Global principle, which then simplifies the problem to finite groups acting on power series rings. My current developments have been toward the local lifting problem for the group of Quaternions.