My research interests are in analytic number theory, specifically concerning questions of algebraic nature.
Currently, I am working on a two-variable analogue of Artin's conjecture on primitive roots. I am also interested in the class number one problem over function fields, and problems related to binary quadratic forms.
I completed a Master's degree at McGill University under the supervision of Prof. Henri Darmon. I studied height pairings on elliptic curves and analogues of the Birch and Swinnerton-Dyer conjecture.
- A lower bound for the two-variable Artin conjecture (With R. Murty and C.L. Stewart), Journal of Number Theory, to appear
- Composition of binary quadratic forms: Understanding the approaches from Gauss, Dirichlet and Bhargava, Resonance Journal, accepted