MMA350 Algebraic Number Theory Spring 24
Course Literature
The main source for the course is
- Neukirch, Algebraic Number Theory, Springer, 1998.
Another, more elementary book with plenty of exercies is
- Marcus, Number Fields, Springer, 2018.
Schedule
Topics
This is a preliminary schedule, which might be adjusted later. All Section number refer to the first chapter.
| Week | Section | Content |
|---|---|---|
| 03 | 1 | The Gaussian Integers |
| 04 | 2 | Algebraic Integers |
| 05 | 2, 3 | Algebraic Integers, Ideal |
| 06 | 3 | Ideals |
| 07 | 3, 4 | Ideals, Lattices |
| 08 | 5 | Minkowsky Theory |
| 10 | 6 | The Class Number |
Weekly schedule
This is the schedule from 2019. It will remain the same, if the time slot for the course do.
The course combines lectures and inclass exercies. Do not forget to prepare each weeks material in order to profit from the latter in the best possible way.
| Time | Monday | Wednesday | Frieday |
|---|---|---|---|
| 10:00 | Lecture | Lecture | Lecture |
| 10:15 | Lecture | Lecture | Exerciese |
| 10:30 | Lecture | Lecture | Exerciese |
| 10:45 | Break | Break | Break |
| 11:00 | Exerciese | Exerciese | Lecture |
| 11:15 | Lecture | Lecture | Lecture |
| 11:30 | Lecture | Lecture | Lecture |
| 11:45 | Break/End | Break/End | Break/End |
Recommended exercises
I added Exercise 4 in Section 2 and amended Exercises for Section 5 and 6.
| Section | Excersises |
|---|---|
| 1 | Exercises 1-7 on page 5 |
| 2 | Exercises 1-4 on page 15 |
| 3 | Exercises 1,2,4 on page 23 |
| 4 | Exercises 2 and 3 on page 27 |
| 5 | Exercises 1-3 on page 34 |
| 6 | Exercise 2 on page 38 |
Exam
The course exam is an oral exam. Please sign up for time slots using the Choodle link available in the announcemet Exam slots.
The procedure and topics of the exam are outlined in the following document: exam.pdf.
Course summary:
| Date | Details | Due |
|---|---|---|