Algebraic Number Theory

Wintersemester 2026/2027

The course will give an introduction to classical algebraic number theory. Main topics include number fields and their rings of integers, Dedekind rings, discrete valuation rings, finiteness of the ideal class group, Dirichlet's unit theorem, and splitting and ramification of prime ideals.

Time and place:

Lectures: Monday and Thursday at 12-14 in Room B132.
Exercises: Wednesday at 12-14 in B133, begins 21.10.

Literature:

P. Samuel, Algebraic Theory of Numbers.
J. Neukirch, Algebraische Zahlentheorie.

Exercise sheets:

Sheet 1

Sheet 2

Sheet 3

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