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