Ma 160a:  Number Theory (Fall 2016-17)

ANNOUNCEMENTS


COURSE DESCRIPTION

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.


PREREQUISITES

Ma 120


SCHEDULE

MWF, 14:00 - 14:55, 151 Sloan.


INSTRUCTORS

Matthias Flach
PROFESSOR OF MATHEMATICS
264 Sloan
626-395-4343


TA's

There is no TA for this class.


OFFICE HOURS

Mon, 3-4pm


POLICIES

Grades

Grades will be based on homework.

Homework Policy

Homework is due Wednesdays at 2 PM in my mailbox or in class.  Please do NOT submit HW in the MA160 mailbox.

Collaboration

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. 


TOPICS COVERED

see above


TEXTBOOKS

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.


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
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

EXAMS

 


READING