Preface This book is the result of a research conference in arithmetic geometry which took place at Arizona State University in March 1993. The lectures at this conference were devoted to important recent advances in Iwasawa theory, elliptic curves, modular forms and modular curves, p-adic heights, £-functions, and the inverse Galois problem. In addition to expanded versions of many of the talks presented at the conference, this volume contains a previously unpublished letter of John Tate, written to J.-P. Serre in 1973. We thank Professors Tate and Serre for generously agreeing to the inclusion of it here. We are grateful to all of the participants, and especially the speakers, for mak- ing the conference a success. We also thank Tonya Blair, Lydia Dance!, Bruce Long, Mary Sabel, and Marlene Salvato of the ASU Mathematics Department for their fine work in helping to organize the conference, and Craig Huneke, Donna Harmon and the staff at the AMS for their help with the preparation of this volume. Finally, we wish to acknowledge the financial support of the NSF and Arizona State University, which made travel to the conference possible for many of the participants. ix Nancy Childress John W. Jones
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