MATH-GA.2210-001 Number Theory, Mo 1:25pm
Office hours:
- Mo 3:30pm or by appointment
Lecture / Homework:
Syllabus:
- 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
Grading:
- Homework: 20%
- Midterm March 20: 30%
- Final May 8: 50%
Recommended books:
- A. Chambert-Loir, A Field guide to Algebra, Springer
- J.-P. Serre, A course in arithmetic, Springer