Elliptic Curves in Cryptography

Abstract

Elliptic curve is used extensively in cryptography and is one of the major research areas in post-quantum cryptography. In this talk, I will start with the Elliptic Curve Diffie-Hellman (ECDH) that is currently used, and then discuss Supersingular Isogeny Diffie-Hellman (SIDH) which is one of the candidate for a post-quantum cryptography system.