Table of Contents

An algebro-geometric tool box; elliptic curves; geometric modular forms; Jacobians and Galois representations; modularity problems.

Reviews

The book's prose is clear, there are examples and exercises available, and, as always, the serious student should have a go at them: he will reap wonderful benefits. -- MAA Reviews "MAA Reviews"
This is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory. -- Mathematical Reviews "Mathematical Reviews"