Jun 15
  1. Algebraic Number Theory



The theory of numbers is particularly liable to the accusation that some of its problems are the wrong sort of questions to ask. I do not myself think the danger is serious; either a reasonable amount of concentration leads to new ideas or methods of obvious interest, or else one just leaves the problem alone. 'Perfect numbers' certainly never did any good, but then they never did any particular harm.--John E. Littlewood


Graduate Number Theory I Kiran Kedlaya  USCD 2001 

Graduate Number theory II  Kiran S. Kedlaya USCD Spring 2002

Algebraic Integers lecture notes from Madhav Nori at the University of Chicago Mitya Boyarchenko Unversity of Michigan

Algebraic Number Fields (Chris Skinner, Fall 2000, 205 pages) Jim Brown Clemson University 

Algebraic Number Theory Course Notes (Fall 2006) Matthew Baker Georgia Institute of Technology

Dick Gross' Algebraic Number Theory Course Notes Sean Sather-Wagstaff  University of Utah 1999

Advanced Number Theory (in English)P Stevenhagen Thomas Stieltjes Institute 2002

Algebraic Number Theory II: Valuations, Local Fields and Adeles Pete L.Clark University of Georgia

Algebraic Integers  Micheal Filaseta University of South Carolina

Algebraic Number Theory. Cameron Stewart Winter 2013 University of Waterloo

Number Theory III  Kieth Matthews University of Queensland 2000

Algebraic Number Theory: An Introduction F. Oggier  Nanyang Technological University 2010

Algebraic Integers Johan Bosman Notes by Florian Bouyer University of Warwick 2011.

CLASS FIELD THEORY P. Stevenhagen Explicit Algebraic Number Theory Oberwolfach
Seminar November 2002

Number Rings Victor Flynn Oxford University January 2013


NUMBER RINGS P. Stevenhagen Universiteit Leiden September 24, 2012

Algebraic Integers Michael Filaseta University of South Carolina

TRANCENDENTAL NUMBER THEORY Michael Filaseta University of South Carolina Spring 2011

Algebraic number theory Frank Thorne University of South Carolina Spring 2013 

 Algebraic Number Theory Nathan Dunfield University of Wisconsin Urbana Champlaign  Spring 2009 Course Materials

Diophantine Approximation and Abelian Varieties Mircea Mustata University of Chicago

Number theory II Algebraic Number Theory Kimball Martin University of Oaklohoma Spring 2010 

 Iwasawa Theory  Jim Brown Clemson University Fall 2006 

Algebraic Integer Theory 2011-2012 Paul Garrett University of Minnesota

Algebraic Number Theory Brian Conrad  Stanford University Homepage

Algebraic Number Theory Spring 2012 Romyar Sharif University of Arizona

IWASAWA THEORY Romyar Sharifi University of Arizona

Notes on class fi eld theory Akhil Mathew Harvard University 

Algebraic Number Theory Michael Bate University of York 2012-2013

Number Rings Cameron Stewart University of Waterloo 2000

A Brief Introduction To Classical And Adelic Algebraic Number Theory William Stein(based on books of Swinnerton-Dyer and Cassels)University of Washington May 2004

Class Field Theory Brian Conrad, Spring 2001 Jim Brown Clemson University

Local class field theory Jim Brown, Winter 2008 Clemson University

Number theory H.W. Lenstra, Jr.  University of California At Berkeley Spring 1988

Global class field theory Jim Brown University of Clemson Spring 2008


Basic Topics in Algebra: Arithmetic of Local Fields Kiran Kedlaya  USCD Fall 2010


A Course in Algebraic Number Theory Robert B. Ash  University of Illinois


Class Field Theory J.S. Milne Version 4.02 March 23, 2013