Lecturer: Prof. Dr. Özlem Imamoglu

Coordinator: Dr. Danylo Radchenko

Room: HG D 1.1

Time: Tue, 9.15 - 10.00 and Thu, 10.15 - 11.55

The first class will take place on Thursday September 19.

- Algebraic integers
- The ideal class group
- Geometry of numbers
- Finiteness of the ideal class group
- Dirichlet's unit theorem
- Ramification theory
- \(\zeta\)-functions of number fields and the class number formula

... and more, if time permits.

Students should be familiar with Algebra as taught in the mandatory second-year course at ETH Zurich (particularly, Galois-theory).

Tutor: Alessandro Lägeler

Exercise classes will take place on Mondays in ML J 34.3 at 15.15-16.00 and on Tuesdays in HG G 26.1 at 14.15-15.00. The new exercises will be available every Friday.

You may hand in your solutions either in class or in the assistant's box at HG J 68.

Some suggestions for literature may be found here.

- Lectures in Algebraic Number Theory by E. Hecke (Springer, 1981)
- Number Fields by D. Marcus (Springer, 2018)
- Algebraic Theory of Numbers by P. Samuel (Dover, 2008)
- Algebraic Number Theory by J. Neukirch (Springer 1999), also available in German

More advanced texts

- Algebraic Number Theory by J.W.S. Cassels and A. Fröhlich (Inc., Washington, DC, 1967)
- Algebraic Number Theory by S. Lang (Springer 1994)