RESEARCH

My area of research is algebraic geometry. More specifically, I work in A1-homotopy theory, which is a homotopy theory for algebraic schemes where the affine line plays the role of the unit interval. This framework adapts ideas and techniques from algebraic topology to the setting of algebraic geometry.
My research has focused on understanding A1-connectedness of varieties through purely algebro-geometric methods. I am also interested in exploring connections between A^1 connectedness and near rationality properties in birational geometry.

Publications

1. A^1- connected components of affine quadrics.
   (joint with Dr. Chetan Balwe)
   Int. Math. Res. Not. IMRN (2026)
   Arxiv Link   Published Version 

2. Iterations of the functor of naive A^1-connected components of variety.
   New York J. Math. (2025)
   Arxiv Link    Published Version