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Introduction to Modular Forms

This course ran from January to March 2005.

You probably want to visit the new course's homepage.

Aims and Objectives:

Modular forms are classical analytic objects which were the subject of much interest early in the last century. For some time their interest appeared to have diminished, until remarkable connections with a huge range of other areas in pure Mathematics were discovered. The most celebrated is, of course, the role they played in the proof of Fermat's last theorem, through the conjecture of Shimura-Taniyama-Weil that elliptic curves are modular, but they also occur in group theory amongst other things. Therefore there is much current interest in the theory of modular forms. The aim of this course is to cover the classical theory of modular forms.

Syllabus

This will include such material as:

Some Reading Material (and useful stuff on the web)


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