Text: I'll be lecturing from various sources, but for students' convenience, I'll try to stick closely to one or two online course notes available at this webpage. My primary source will be Baker's notes from Georgia Tech, but I will also from time to time follow Stevenhagen's notes from Leiden, as also Ash's notes. Good texts are Algebraic Number Fields by Gerald Janusz, and Number Fields by Daniel A. Marcus.

Syllabus: We will study the ring of integers of a number field, we'll prove that it is a Dedekind domain, we'll study splitting of primes in extensions, we'll look at special fields such as quadratic fields and cyclotomic fields, and we'll look at lattice methods, finiteness of class groups, and units of number rings. I also hope to look at p-adic completions.

Homework: I plan to give one problem set (containing 8 to 10 problems) each week. These need to be turned in the following week (with some adjustments made for the last, i.e., sixth week of the course). The problem sets will contain many concrete exercises, and I expect much learning to happen during the solving process. The final exam will be based on these (see below). Here are the problem sets:
Problem Set 1
Problem Set 2
Additional Notes on Lattices
Problem Set 3
Problem Set 4

Exams: There will be one final exam on the last day of the term. The final will cover the problem sets, as well as a small handful of results from the classroom lectures.