Hyperelliptic Isogeny Based Cryptography

Isogeny based cryptography is a cryptosystem that uses isogenies between Abelian varieties.  While the cryptosystems that use isogenies among elliptic curves have become part of the folklore, we focus on isogenies of genus two curves and hyperelliptic genus 3 curves.

Since most of our activities are related to grants and involvement in industry, we publish relatively little on the topic and only with permission from our partners.  If you are a mathematician or computer scientist interested in getting involved, please fill the following form 

Activities

Timeline on (n,n)-split Jacobians

Legendre, Jacobi, Hermite, Goursat, Burkhardt, Brioschi, Bolza, Kani, Kuhn, Frey, Shaska, Kumar