**William Stein**

*Date:* **Math 124** HARVARD UNIVERSITY **Fall 2001**

In this lecture I will sketch an outline of the proof of Fermat's last theorem, then give a rigorous account of what it means for an elliptic curve to be ``modular''.

The are several exercises below. They are optional, but if you do them and give them to Grigor, I suspect that he would look at them (whether or not you do the exercises will not directly affect your course grade in any way).

- Fermat's Last Theorem
- Holomorphic Functions
- Cuspidal Modular Forms
- Modularity of Elliptic Curves
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William A Stein 2001-11-30