Topics in Algebraic Number Theory
Leiden University, Winter 2025
This is the course webpage for Topics in Algebraic Number Theory (4373TOANT), taught at Leiden in Winter 2025 by Peter Stevenhagen and Jonathan Love.
In this course, we will develop the theory of local fields. The main part of the course will follow the
course notes written by Stevenhagen.
Course structure
| Lectures: |
Fridays, 11:00 - 12:45, Gorlaeus Building EM1.17 |
| Exercises: |
Fridays, 13:15 - 15:00, Gorlaeus Building EM1.21 |
Registered students who are taking the course for credit will be evaluated based on weekly homework assignments and a final exam.
Homework (20% of final grade): Every Friday after the lecture, a short list of problems will be announced on this webpage. You may choose any two problems from this list to submit before the start of the following lecture. Your two lowest homework scores will be dropped. In the exercise sessions you will be encouraged to present solutions and to interact with the presenters.
Final Exam (80% of final grade): There will be a take-home final exam that will be assessed in an oral examination (Wednesday, 28 May 2025). Problems will be made available a few days beforehand. More details coming soon.
Schedule
| Date |
Lecturer |
Topics |
| 7 Feb 2025 |
Stevenhagen |
Motivation and overview |
| 14 Feb 2025 |
Love |
Valued fields |
| 21 Feb 2025 |
Love |
TBD |
| 28 Feb 2025 |
Love |
TBD |
| 7 Mar 2025 |
Stevenhagen |
TBD |
| 14 Mar 2025 |
Stevenhagen |
TBD |
| 21 Mar 2025 |
Love |
TBD |
28 Mar 2025 |
|
No course meeting |
| 4 Apr 2025 |
Stevenhagen |
TBD |
| 11 Apr 2025 |
Love |
TBD |
18 Apr 2025 |
|
No course meeting |
| 25 Apr 2025 |
Stevenhagen |
TBD |
| 2 May 2025 |
Stevenhagen |
TBD |
| 9 May 2025 |
Love |
TBD |
| 16 May 2025 |
Love |
TBD |
28 May 2025
(Wednesday) |
|
Oral assessment of take-home exam |
Last Updated December 2024