Title of the course: Isogenies of elliptic curves
Instructor: Dr. Dino Festi
Institution: Università degli Studi di Milano
Dates: 4-10 September 2023
Prerequisites: Groups, Rings, Fields, Basics of planar algebraic geometry and analysis.
Level: Graduate, advanced undergraduate
Abstract: In this course we will see how the set of points of an elliptic curve can be endowed with a group structure. We will then study the morphisms between elliptic curves that preserve this group structure: isogenies. We will study the properties of isogenies and, if time permits, we will see some applications of elliptic curves and isogenies to pre- and post-quantum cryptography.
Language: EN