Title: The Intersection between Number Theory, Abstract Algebra, and Cryptography
Abstract: In this talk we will cover the mathematics behind a security system that is thought to be secure against quantum computer hacking; the Supersingular Ell Isogeny Cryptosystem. Specifically the Supersingular Ell Isogeny Graph. This abstract object is made of isomorphic elliptic curves and equivalent homomorphisms between them. The Supersingular Ell Isogeny graph is an extremely complicated graph that is used for cryptosystems (for the future), but we will use a simpler approach to find patterns within this convoluted graph.
