Anthony Várilly-Alvarado

The talk is aimed at a general academic mathematical audience, so should be suitable for graduate students, post-docs, and faculty. The set of solutions to a diophantine equation is strongly influenced by the geometry of the associated algebraic...

Before Mazur proved his theorem on the possible torsion groups on elliptic curves over Q, Manin had shown in 1969 that for a fixed number field K and prime p, the p-primary torsion of elliptic curves over K was uniformly bounded. We will explain a...