Elliptic Curves, Modular Forms and Fermat’s Last Theorem, 2nd Edition

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The conference, held at the Chinese University of Hong Kong, on which these proceedings are based was organized in response to Andrew Wiles’ conjecture that every elliptic curve over Q is modular. The final difficulties in the proof of the conjectural upper bound for the order of the Selmer group attached to the symmetric square of a modular form, have since been overcome by Wiles with the assistance of R. Taylor. The proof that every semi-stable elliptic curve over Q is modular is not only significant in the study of elliptic curves, but also due to the earlier work of Frey, Ribet, and others, completes a proof of Fermat’s last theorem.

Revised second edition.

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