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Arithmetic Algebraic Geometry
 
Edited by: Brian Conrad University of Michigan, Ann Arbor, MI
Karl Rubin Stanford University, Stanford, CA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Front Cover for Arithmetic Algebraic Geometry
Available Formats:
Softcover ISBN: 978-0-8218-4448-9
Product Code: PCMS/9.S
569 pp 
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Electronic ISBN: 978-1-4704-3908-8
Product Code: PCMS/9.E
569 pp 
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
Front Cover for Arithmetic Algebraic Geometry
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  • Front Cover for Arithmetic Algebraic Geometry
  • Back Cover for Arithmetic Algebraic Geometry
Arithmetic Algebraic Geometry
Edited by: Brian Conrad University of Michigan, Ann Arbor, MI
Karl Rubin Stanford University, Stanford, CA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Available Formats:
Softcover ISBN:  978-0-8218-4448-9
Product Code:  PCMS/9.S
569 pp 
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Electronic ISBN:  978-1-4704-3908-8
Product Code:  PCMS/9.E
569 pp 
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
  • Book Details
     
     
    IAS/Park City Mathematics Series
    Volume: 92001
    MSC: 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.

    Readership

    Graduate 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 Calabi-Yau 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
  • Request Review Copy
Volume: 92001
MSC: 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.

Readership

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 Calabi-Yau 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
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