Getting Ahead of the Elliptic Curve

This course aims to provide a simplified understanding of elliptic curve cryptography (ECC) without assuming prior mathematical knowledge. The learning outcomes include grasping the concepts of ECC, understanding its implementation in algorithms like Elliptic Curve Diffie-Hellman, digital signatures, and its applications in modern cryptography. The course teaches point addition on an elliptic curve, integer multiplication, ECDH, ECDSA, random number generation, and post-quantum cryptography. The teaching method involves a talk that keeps the topic approachable and engaging. The intended audience includes individuals interested in cryptography and security, without the need for advanced mathematical background.