Hyperelliptic curves and their jacobians

I gave this talk on the 2nd of December of 2022 for the study group on isogeny-based cryptography organised by Diana Mocanu.

The goal of this study group was to learn the foundations of isogeny-based cryptography and some of its newest developments, such as the key recovery attack schemes on SIDH. In my talk, I presented the construction of the jacobian variety of a hyperelliptic curve and the types of isogenies that are used in higher genus cryptography.

These are the slides for my talk: