Number Theory

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.


Prerequisite

Ma 120


Course Meeting Time and Location

Monday, Wednesday and Friday
2:00 - 2:55 pm
289 Linde


Course Instructor Contact Information and Office Hours

Ashay Burungale
258 Linde


TA's 

There is no TA for this class.

Textbook

Daniel A. Marcus, Number Fields, Corr. 3rd printing, Springer-Verlag 1977.  ISBN:  978-0-387-90279-1.


Course 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. 


Assignments

 Date PostedAssignment Due Date 
   
   


Midterm and Final Exam