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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
Arithmetic Algebraic Geometry
Arithmetic Algebraic Geometry
Softcover ISBN:  978-0-8218-4448-9
Product Code:  PCMS/9.S
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3908-8
Product Code:  PCMS/9.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Softcover ISBN:  978-0-8218-4448-9
eBook: ISBN:  978-1-4704-3908-8
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
Arithmetic Algebraic Geometry
Click above image for expanded view
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
Softcover ISBN:  978-0-8218-4448-9
Product Code:  PCMS/9.S
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3908-8
Product Code:  PCMS/9.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Softcover ISBN:  978-0-8218-4448-9
eBook ISBN:  978-1-4704-3908-8
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 Details
     
     
    IAS/Park City Mathematics Series
    Volume: 92001; 569 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 92001; 569 pp
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.