Math 567: Number Theory I
Fall 2013

Course Description
This course is an introduction to Algebraic Number Theory. Algebraic Number Theory studies finite extensions of the field of rational numbers; such extensions are called number fields. One is interested in the ring of integers of a number field, the ideals and units in the ring of integers, the extent to which unique factorization holds, and so on. The topics that we will cover include factorization domains, Dedekind domains, ideals in number fields, ideal class group, and Dirichlet's unit theorem.

Textbook
Introductory Algebraic Number Theory, by Şaban Alaca and Kenneth S. Williams.

Lecture Schedule
MWF 03:35-04:25, 104 Osmond

Instructor
Mihran Papikian
Office: McAllister Building, Room 423
Email: papikian@math.psu.edu (preferred)

Office Hours: WF 04:30-5:30 and by appointment.


Homework
Homework is due in class on the due date.
(X.Y means exercise Y from chapter X in the textbook)
Homework #1 (Due on Friday, September 13)
1.2, 1.19, 1.20, 1.21, 1.26, 1.27, 1.30, 1.31, 1.36, 2.6
Homework #2 (Due on Monday, September 23)
3.3, 3.6, 3.7, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.17
Homework #3 (Due on Monday, September 30)
4.1, 4.3, 4.8, 4.10, 4.11, 4.15

Grades
  • Homework: 200 points
  • Final Exam (take-home): 100 points