- Tue 2:30-3:20pm or by appointment

- Elementary number theory, quadratic reciprocity
- Diophantine equations
- Local-global principles
- p-adic numbers
- Riemann zeta function
- Prime Number Theorem
- L-functions, primes in arithmetic progressions
- Basic algebraic number theory: quadratic and cubic fields
- p-adic measures, Kummer congruences
- Transcendence

- Homework: 20%
- Midterm
**March 8**: 30% - Final
**May 3**: 50%

- A. Chambert-Loir,
**A Field guide to Algebra**, Springer - J.-P. Serre,
**A course in arithmetic**, Springer

- Lecture 1 / Slides / Homework 1 (due Febr. 8)
- Lecture 2 / Slides / Homework 2 (due Febr. 15)
- Lecture 3 / Slides / Homework 3 (due Febr. 22)
- Lecture 4 / Slides / Homework 4 (due March 1)
- Lecture 5 / Slides / Homework 5 (due March 8)
- Lecture 6 / Slides / Homework 6 (due March 22)
- Lecture 7 / Slides / Homework 7 (due April 6)
- Lecture 8 / Slides / Homework 8 (due April 13)
- Lecture 9 / Slides / no homework - read the slides!
- Lecture 10 / Slides / no homework - read the slides!
- Lecture 11 / Homework 11 (due April 26)