http://www.math.tamu.edu/~map/courses/627sp11/

Topics of Study: This course will be an introduction to the study of algebraic numbers and algebraic integers. In number theory the key motivating problem is to understand the basic arithmetic of the integers. Algebraic number theory is the study of generalizations of integers to other domains, especially to number fields, ie, finite algebraic extensions of Q. Interesting problems arise in the study of rings of algebraic integers that shed light on many basic number theory problems. The course will cover the following topics as time permits: 

Instructor:  Dr. Matthew Papanikolas 


Office Hours:  Mon. & Wed. 3:004:30; also by appointment 




Office:  321 Milner 

Office Phone:  8451615 

Email:  map@math.tamu.edu 




Textbook:  Algebraic Number Theory and Fermat's Last Theorem, by Ian Stewart and David Tall, A.K. Peters, 2002, ISBN 1568811195. 




Prerequisites:  Math 653 (groups, rings, fields, and vector spaces); or equivalents 




Course Webpage:  http://www.math.tamu.edu/~map/courses/627sp11/ 




Course Work and Grades:  There will be regular homework assignments, as well as a takehome final exam. These will serve as the basis for grades in the course. 