Franz Lemmermeyer

Algebraic Number Theory


  Mo 13:40 - 15:30, SAZ 02
  We 15:40 - 17:30, SAZ 02 


A standard course in algebraic number theory discusses the proofs of the main results on integral bases, discriminants, Dedekind rings, class groups, Dirichlet's unit theorem, etc. In this semester, I will instead concentrate on quadratic extensions of the rationals and of the rational function fields and introduce elliptic curves. This will allow us to do a lot of explicit calculations that cannot be done (by hand) for extensions of higher degree.



Homework is always due one week after hand-out except when stated otherwise. Solutions will be posted after all students have turned their homework in.



Here are a few books I recommend. There are also various lecture notes to be found here.