My research is in algebraic number theory and arithmetic geometry. I study rational points on modular curves using the quadratic Chabauty method and modular forms.Â
My research is in algebraic number theory and arithmetic geometry. I study rational points on modular curves using the quadratic Chabauty method and modular forms.Â
Pre-prints:
Pre-prints:
Aspects of quadratic Chabauty via modular forms, (with M. Leonhardt), 2026, code
Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations, 2025, submitted
Projects
Projects
p-adic heights and integral points on elliptic curves, first-year PhD mini project supervised by Dr Netan Dogra
Distribution of ranks of elliptic curves, first-year PhD mini project supervised by Prof Vladimir Dokchitser
Heegner points and the congruent number problem, MSci thesis supervised by Dr Luis Garcia Martinez