Jonathan Love

My research lies at the intersection of number theory, arithmetic geometry, and cryptography. I’m interested in a wide spread of algebraic and geometric structures, including elliptic/hyperelliptic/superelliptic curves, quaternion orders, modular curves, isogeny graphs, lattices, abelian varieties, Chow groups, and Kummer surfaces, but at the heart of all my work is the goal to develop an explicit understanding of these abstract structures using concrete examples and computational tools.