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
Midterm and Final Exam |