| About
the Instructor |
| Basics |
| Schedule |
| Assignments |
| Main |
| Home |
Here you will find links to the
lecture notes. The notes
are work in progress (let me know if you find any typos, errors,
omissions, etc, or if you have any suggestions). There are exercises at
the end of each chapter.
Schedule:- Week 1
- Days 1, 2: Introduction, motivational examples
- Day 3: Definition of an elliptic curve
- Day 4: The Mordell-Weil theorem, torsion subgroups
- Day 5: Elliptic Curves over finite fields
- Week 2
- Day 6: Linear independence of points of infinite order
- Days 7, 8: 2-Descent, Selmer and Sha
- Days 9, 10: Lattices, elliptic functions and modular curves
- Week 3
- Days 11, 12, 13: Modular forms for SL(2,Z) and other subgroups
- Day 14: The L-functions attached to ell. curves and mod. forms
- Day 15: The modularity theorem
