Zahlentheorie SS 2019

Zahlentheorie / Algebraic Number Theory - SS 2019

Instructor: Daniele Agostini.

Office hours: Monday, 11:00-12:00. Room 1.429. RUD 25.

Lectures: Monday 9:15-10:45, Room 1.013, RUD 25.
Monday 15:00-16:30, Room 3.006, RUD 25.

Exercise Sessions (Leonardo Lerer): Wednesday, 11:15 - 12:45, Room 1.013, RUD 25.

Exam: July 25, 10:00, Room 1.115, RUD 25. Registration open until July 11.
September 26, 10:00, Room 1.115, RUD 25. Registration open until September 12.

Exam rules: There are no formal requirements to access the exam, but students are strongly encouraged to try to solve the exercise sheets and to take active part in the lectures and the exercise sessions. In the exam, you are allowed to use your own notes, but not anything else such as books, smartphones, etc. You are free (and encouraged!) to use every result from the lectures, the exercises session and the exercise sheets, unless you are explicitly asked to prove one of them. For the exam, you will have 2 hours and 30 minutes of time.

Important announcements

The second exam will be on September 26 (and NOT on September 27!) at 10:00 in Room 1.115, RUD 25. More details on the exam rules can be found above. Results September 27 at 14:00 in my office.

Course description

The course will be a first introduction to Algebraic Number Theory, arguably one of the most important and beautiful subjects in Mathematics. In particular, we will study number fields and their rings of integers.

Prerequisites: basic abstract algebra and Galois theory. A previous knowledge of Commutative Algebra will be useful but not required.

References : Notes for some of the lectures will appear below. We will not follow exactly any particular book, but the main inspirations for the course will be

There are many other beautiful references for Algebraic Number Theory. One of them, with a more advanced presentation than the references above, is:

Course log

A brief description of each lecture's content, together with some notes, is available here:

Exercise sheets

If you want your exercise sheet to be corrected you should hand it in on Monday by 12:00, either after the morning lecture or during the office hours.
Last modified: Fri Sep 27 09:50:10 CEST 2019