##
**Fall Semester, 2004**

**Course Title: Topics in Number Theory, Algebraic Number Theory**
**Unique Number: M390C (58965)**
**Time and place: TTh 9:30-11:00 RLM 9.166
**
**Instructor:
Felipe Voloch
**

**Brief description:**
This course will cover the basic theory of Algebraic Number Fields and
Function Fields, their rings of integers and the basic theorems of
unique factorization into prime ideals, finiteness of class number and
Dirichlet's unit theorem. We will take the approach of Artin and Whaples
and give an axiomatic characterization of Number Fields and Function Fields.
Here is their original
paper.

**Prerequisite: **
Graduate Algebra

**Textbook: **
None. But here is a long list of lecture notes
on number theory, some of which are relevant.
* *

**Course notes: **
Each student will be required to take notes for a week and TeX them.

Here is the whole course available as one file.