Number Theory (SoSe 2025)
Lecturer:
Prof. Dr. Bruno Klingler
Time and place:
Tue 11am-1pm 3.007
Wed 11am-1pm 1.115
Thu 9am-11am 3.007 (Exercises, Ania Otwinowska)
The class will start on Tuesday April 15th.
Moodle:
The Moodle page for the course is here, you can register there.
The Moodle key is NT25.
Content:
The course will be an introduction to algebraic number theory:
number fields, their rings of integers, Dedekind rings, geometry of numbers, reciprocity law, binary quadratic forms, local fields, etc...
The following references are relevant:
- K. Ireland & M. Rosen, A classical introduction to modern number theory, Springer GTM 84
(1972).
- D. Marcus, Number fields, Springer Universitext (1977).
- H.Cohen, A course in computational algebraic number theory, volume 138 of
Graduate Texts in Mathematics. Springer-Verlag, Berlin (1993)
- A Frohlich and M.J. Taylor, Algebraic number theory, volume 27 of
Cambridge Studies in Advanced Mathematics. Cambridge University Press,
Cambridge. (1991)
- G.J Janusz, Algebraic number fields, volume 7 of Graduate Studies in Mathematics.
American Mathematical Society, Providence, RI, second edition (1996)