Softcover ISBN:  9780821844489 
Product Code:  PCMS/9.S 
List Price:  $125.00 
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AMS Member Price:  $100.00 
eBook ISBN:  9781470439088 
Product Code:  PCMS/9.E 
List Price:  $112.00 
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AMS Member Price:  $89.60 
Softcover ISBN:  9780821844489 
eBook: ISBN:  9781470439088 
Product Code:  PCMS/9.S.B 
List Price:  $237.00 $181.00 
MAA Member Price:  $213.30 $162.90 
AMS Member Price:  $189.60 $144.80 
Softcover ISBN:  9780821844489 
Product Code:  PCMS/9.S 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470439088 
Product Code:  PCMS/9.E 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Softcover ISBN:  9780821844489 
eBook ISBN:  9781470439088 
Product Code:  PCMS/9.S.B 
List Price:  $237.00 $181.00 
MAA Member Price:  $213.30 $162.90 
AMS Member Price:  $189.60 $144.80 

Book DetailsIAS/Park City Mathematics SeriesVolume: 9; 2001; 569 ppMSC: Primary 11
The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.
Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute.
ReadershipGraduate students and research mathematicians interested in arithmetic algebraic geometry.

Table of Contents

Chapters

Introduction

Elliptic curves, modular forms, and applications

Open questions in arithmetic algebraic geometry

Lectures on Serre’s conjectures

Deformations of Galois representations

Introduction to Iwasawa theory for elliptic curves

Galois cohomology

The arithmetic of modular forms

Arithmetic of certain CalabiYau varieties and mirror symmetry


Reviews

The book ... gives a good overview of the subject and proceeds naturally to more technical aspects of the theory. An attractive feature of the book is the presence of many exercises for students.
European Mathematical Society Newsletter


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The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.
Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute.
Graduate students and research mathematicians interested in arithmetic algebraic geometry.

Chapters

Introduction

Elliptic curves, modular forms, and applications

Open questions in arithmetic algebraic geometry

Lectures on Serre’s conjectures

Deformations of Galois representations

Introduction to Iwasawa theory for elliptic curves

Galois cohomology

The arithmetic of modular forms

Arithmetic of certain CalabiYau varieties and mirror symmetry

The book ... gives a good overview of the subject and proceeds naturally to more technical aspects of the theory. An attractive feature of the book is the presence of many exercises for students.
European Mathematical Society Newsletter