# MATH 8251 - Algebraic Number Theory - Fall 2014

| Class Lecture Notes | Homework | Moodle | Further Reading |

## General Information

Time MWF, 11:15 a.m. -- 12:05 p.m. Vincent Hall, Room 207 Ben Brubaker (brubaker@math.umn.edu) Office: Vincent Hall, Room 352 Office Phone: TBD Office Hours: W 1:30-2:30, Th 1:30-3:30, and always available by appointment Jürgen Neukirch, Algebraic Number Theory (Springer-Verlag) Problem sets every fortnight Chapters I, II, and the first three sections of Ch. III in Neukirch's book. We will finish with the statements of local and global class field theory, time permitting.

## Homework

Section and page numbers with an (N) denote Neukirch's book.

• Problem Set 1 (due Friday, September 19):
• N I.1 4,5,6,7
• N I.2 4,5,6 (in 5 and 6, "integral basis of" means integral basis of the ring of integers)
• N I.3 1,2,5,6
• Problem Set 2 (due Friday, October 3):
• N I.4 2
• N I.5 1
• N I.6 1,4,5,7
• N I.7 1,2,4,5
• Problem Set 3 (due Friday, October 17):
• N I.8 2, 5, 9
• N I.9 1, 2
• N I.10 1, 2, 3
• N I.11 1, 2
• N I.12 1
• Problem Set 4 (due Friday, November 7):
• N II.1 1, 2, 3, 5
• N II.2 2, 3, 5, 6, 7
• N II.3 1, 2, 3
• N II.4 2, 3, 4, 5, 6
• Problem Set 5 (due Monday, November 24):
• N II.5 2, 3, 4
• N II.6 5
• N II.7 1, 2, 3
• Problem Set 6 (due Wednesday, December 10):
• N II.8 1, 2, 3, 6

## Homework Solutions

• Weekly problem set solutions to appear here