Area of research
Geometry and Topology · Mathematical Physics
Research interest
Research interests include Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Polynomial and algebraic computation, and Analytic Number Theory Research.
Quadratic Chabauty for modular curves: algorithms and examples
Variations of Lehmer's Conjecture for Ramanujan's tau-function
Quadratic Chabauty and rational points, I: p-adic heights
A non-abelian conjecture of Tate–Shafarevich type for hyperbolic curves
Comparing Arithmetic Intersection Formulas for Denominators of Igusa Class Polynomials
Conference: Universal Statistics in Number Theory
Rational Points on Curves and Kim's Conjecture
CAREER: New Directions in p-adic Heights and Rational Points on Curves
Rational Points on Curves and Iterated p-adic Integrals
PostDoctoral Research Fellowship