6510 (Algebraic number theory)
Fall 2010, UNT
Lecture: GAB 438, MW 12:00-1:20pm
Instructor: Professor Olav Richter
Course Description: Math 6510 is intended for all graduate students in mathematics. This course will be an introduction to algebraic number theory and some background in abstract algebra is required. We will discuss algebraic number fields and their basic properties such as ring of integers, lattices, prime factorizations, and class numbers. We will also investigate the geometry of algebraic numbers, congruences, p-adic numbers, and further topics if time permits.
Textbook: You do not have to buy a textbook for this class, since we will not follow a particular textbook very closely. A large portion of the material that we will cover can be found for example in the following books: