# Calendar

Calender
LEC # | TOPICS | KEY DATES
--- | --- | ---
1 | The Projective Plane |
2 | Curves in the Projective Plane |
3 | Rational Points on Conics |
4 | Geometry of Cubic Curves | Homework 1 due
5 | Weierstrass Normal Form |
6 | Explicit Formulas for the Group Law |
7 | Points of Order Two and Three | Homework 2 due
8 | The Discriminant Points of Finite Order have Integer Coordinates - Part 1 |
9 | Points of Finite Order have Integer Coordinates - Part 2 |
10 | Points of Finite Order have Integer Coordinates - Part 3 The Nagell-Lutz Theorem | Homework 3 due
11 | Real and Complex Points on Cubics |
12 | Heights and Descent |
13 | Height of P + P_0 | Homework 4 due
14 | Height of 2P |
15 | A Useful Homomorphism - Part 1 | Homework 5 due
16 | A Useful Homomorphism - Part 2 |
17 | Mordell's Theorem - Part 1 |
18 | Mordell's Theorem - Part 2 Examples - Part 1 | Homework 6 due
19 | Examples - Part 2 |
20 | Examples - Part 3 |
21 | Singular Cubics |
22 | Rational Points over Finite Fields |
23 | Gauss's Theorem - Part 1 |
24 | Gauss's Theorem - Part 2 | Homework 7 due
25 | Points of Finite Order Revisited |
26 | Factorization using Elliptic Curves - Part 1 |
27 | Factorization using Elliptic Curves - Part 2 | Homework 8 due
28 | Integer Points on Cubics Taxicabs - Part 1 |
29 | Taxicabs - Part 2 Thue's Theorem - Part 1 |
30 | Thue's Theorem - Part 2 | Homework 9 due
31 | Construction of an Auxiliary Polynomial |
32 | The Auxiliary Polynomial is Small |
33 | The Auxiliary Polynomial Does Not Vanish |
34 | Proof of the DAT Further Developments | Homework 10 due
35 | Congruent Numbers and Elliptic Curves I: Koblitz - Part 1 |
36 | Congruent Numbers and Elliptic Curves II: Koblitz - Part 2 |