Geometric Modular Forms and Elliptic Curves

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura -- Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.Hida, Haruzo is the author of 'Geometric Modular Forms and Elliptic Curves' with ISBN 9789810243371 and ISBN 9810243375.