Introduction to Number Theory I, MATH-GA.2210-001, Spring 2017
Professor:
Dmitry Zakharov
Meeting times:
Wednesdays 17:10-19:00 in WWH 517
Office hours:
Mondays 17:00-18:00 and Wednesdays 14:00-15:00 in WWH 926
Literature:
I will be typing up my own
lecture notes
. Here is a list of books that will be useful:
M. F. Atiyah, I. G. Macdonald,
Introduction to Commutative Algebra
I. Stewart, D. Tall,
Algebraic Number Theory and Fermat's Last Theorem
S. Lang,
Algebraic Number Theory
, available via SpringerLink
J. S. Milne,
Algebraic Number Theory
, available
here
J. Neukirch,
Algebraic Number Theory
, available via SpringerLink
Alena Pirutka's notes on number theory from Spring 2016, available
here
The last lecture covers the failure of the Hasse principle for Selmer's equation, following
notes
by Keith Conrad.
Homework:
There will be weekly homework assignments, posted here.
Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Midterm
Homework 7
Homework 8
Homework 9
Homework 10
Homework 11
Homework 12
Final