**Math
6510 (Algebraic number theory)
Fall 2010, UNT **

**Lecture: **GAB 438, MW 12:00-1:20pm

**Instructor: **Professor
Olav Richter

**Office:**GAB 418 B**Office hours:**MW 3:30-5:00pm, F 9:00-10:00, and by appointment**Phone:**565-4352**email:**richter@unt.edu

**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:

**Title:**A course in computational algebraic number theory**Authors:**Henri Cohen**Publisher:**Springer

**Title:**Lectures on the theory of algebraic numbers**Author:**Erich Hecke**Publisher:**Springer

**Title:**A classical introduction to modern number theory**Authors:**Kenneth Ireland and Michael Rosen**Publisher:**Springer

**Title:**Number fields**Author:**Daniel A. Marcus**Publisher:**Springer