- Registration for Fall term opens Thursday, May 19, 2016.
- This page was last updated: .
The course will follow the textbook with some extra material on zeta-functions and global fields of characteristic p at the end. After an introduction on Diophantine equations and reciprocity laws we start with the systematic development: Rings of integers in number fields, the discriminant, unique factorization, splitting of primes, the ideal class group and the unit group, the Dedekind zeta-function and the analytic class number formula, curves over finite fields.
PROFESSOR OF MATHEMATICS
Grades will be based on homework.
Homework is due Wednesdays at 2 PM in my mailbox or in class. Please do NOT submit HW in the MA160 mailbox.
You are welcome to discuss solutions with other students and/or "learn" them from books or other sources, but you should write your own solutions with your own words.
Daniel A. Marcus, Number Fields, Corr. 3rd printing, Springer-Verlag 1977. ISBN: 978-0-387-90279-1.
Here is a non-exhaustive list of further references on algebraic number theory.
|2pm, Oct 5||Set 1|
|2pm, Oct12||Set 2|
|2pm, Oct 19||Set 3|
|2pm, Oct 26||Set 4|
|2pm, Nov 2||Set 5|
|2pm, Nov 9||Set 6|
|2pm, Nov 16||Set 7|
|2pm, Nov 23||Set 8|
|2pm, Dec 2||Set 9||Note the changed due date|