Calendar

LEC # TOPICS KEY DATES
1 Introduction to Elliptic Curves  
2 The Group Law, Weierstrass and Edwards Equations  
3 Finite Fields and Integer Arithmetic  
4 Finite Field Arithmetic  
5 Isogenies Problem Set 1 Due
6 Isogeny Kernels and Division Polynomials  
7 Endomorphism Rings Problem Set 2 Due
8 Hasse's Theorem, Point Counting  
9 Schoof's Algorithm Problem Set 3 Due
10 Generic Algorithms for Discrete Logarithms  
11 Index Calculus, Smooth Numbers, Factoring Integers Problem Set 4 Due
12 Elliptic Curve Primality Proving (ECPP)  
13 Endomorphism Algebras Problem Set 5 Due
14 Ordinary and Supersingular Curves  
15 Elliptic Curves over C (Part 1) Problem Set 6 Due
16 Elliptic Curves over C (Part 2)  
17 Complex Multiplication Problem Set 7 Due
18 The CM Torsor  
19 Riemann Surfaces and Modular Curves Problem Set 8 Due
20 The Modular Equation Problem Set 9 Due
21 The Hilbert Class Polynomial  
22 Ring Class Fields and the CM Method Problem Set 10 Due
23 Isogeny Volcanoes  
24 The Weil Pairing Problem Set 11 Due
25 Modular Forms and L-series  
26 Fermat's Last Theorem Problem Set 12 Due