Topics in Number Theory 2026

This year the topics in number theory course will be about Galois representations. The plan is roughly to do the following:

- profinite groups and infinite Galois theory.

- p-adic numbers, local fields and their absolute Galois group.

- The absolute Galois group of a number field

- Representations of the absolute Galois group into finite dimensional vector spaces over the complex numbers

- The statements of Class field theory (local and global), ideles and adeles.

- l-adic representations of the absolute Galois group of a number field

Location and time

Thursdays, 11:00am in Room G3.13 at Science Park 904, 1098 XH, Amsterdam. From April 2nd onwards, there is a room change, the lectures will then be in Sp D1.160 (until the end of the semester). The course starts on Feb 6h, and runs until (and including) May 21st, with the exception of April 30th, May14th. Final exam is on May 28th, room D1.114, at 13:00. Retake: June 25h, Sp D1.160 at 13:00.

Join, but not from UvA?

If you are interested in joining this course, but you are not a student from the university of Amsterdam, please contact me via email. It may be possible for you to join this course.

Course materials

Course materials will be published in the following Dropbox folder: Here