Elliptic Curves Book
- The Web page for the book Elliptic Curves: Number Theory and Cryptography
The course will focus on elliptic curves over finite fields and the rationalswith a slant towards
cryptographic applications. The goal is to cover most of Chapters 1-7, 10, 12 of my
book on elliptic curves.
Topics to be covered:
Basics: addiiton law, etc.
Endomorphisms; the Frobenius map
Hasse's theorem
Point counting methods
Discrete log problem
Cryptographic applications
Weil and Tate pairings
Cryptographic applications of pairings
Zeta functions
Complex multiplication
Prerequisites:
Basic group theory and number theory; finite fields