The first lecture is on Monday, February 19, 2018. The first exercise class is on Friday, February 23, 2018. Algebraic integers, discriminant, ideal class group, Minkowski's theorem on the finiteness of the ideal class group, Dirichlet's unit theorem, cyclotomic fields, ramification theory, valuations, p-adic numbers, local fields, Galois theory of valuations, (+ other material from Neukirch's book for which time remains) Here are blackboard photos of the course ordered by date. Algebra II with Galois theory is a must; some commutative algebra of modules and Dedekind rings is desired.

The new exercises will usually be posted here on Wednesdays. We expect you to look at the problems and prepare questions for the exercise class on Friday.

Please hand in your solutions by the following Wednesday at 12:00 in the box in HG J 68. Your solutions will usually be corrected and returned in the following exercise class or, if not collected, returned to the box in HG J 68.

exercise sheet	due by	solutions
Exercise Sheet 1	February 28	Solution 1
Exercise Sheet 2	March 7	Solution 2
Exercise Sheet 3	March 14	Solution 3
Exercise Sheet 4	March 21	Solution 4
Exercise Sheet 5	March 28	Solution 5
Exercise Sheet 6	April 11	Solution 6
Exercise Sheet 7	April 18	Solution 7
Exercise Sheet 8	April 25	Solution 8
Exercise Sheet 9	May 2	Solution 9
Exercise Sheet 10	May 9	Solution 10
Exercise Sheet 11	May 16	Solution 11
Exercise Sheet 12	May 23	Solution 12
Exercise Sheet 13	May 30	Solution 13
Exercise Sheet 14		Solution 14

time	room	assistant	language
Fri 11-12	HG G 5	Nicolas Müller	English

Algebraic number theory by Jürgen Neukirch in "Grundlehren der mathematischen Wissenschaften" (Springer 1999)