Università Roma Tre

- Affine and projective curves
- Cubics and elliptic curves
- The group law and equations of elliptic curves
- Isogenies
- Torsion points
- Elliptic curves over finite fields and Hasse's Theorem
- Brief discussion of symmetric and public key cryptosystems
- Algorithms on Elliptic Curves: Double and Add and Schoof Algorithm
- Public Key and Digital Signature algorithms on Elliptic Curves
- Weil Pairing and Identity based elliptic cryptosystems

Professor notes