Explore the fundamentals of Elliptic Curve Cryptography (ECC) in this 30-minute conference talk from NolaCon 2019. Delve into modulo math, Diffie-Hellman key exchange, RSA encryption, and the intricacies of elliptic curves. Learn how ECC functions, its applications in various devices, and the advantages it offers over other cryptographic methods. Gain insights into vertical curves, mod space, and elliptic curve mathematics. Understand the practical implications of ECC and its importance in modern cryptography. Conclude with a Q&A session to address any remaining questions about this powerful encryption technique.