MATH-GA.2210-001 Number Theory, Tue 3:20pm
Office hours:
- Tue 2:30-3:20pm or by appointment
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 8: 30%
- Final May 3: 50%
Recommended books:
- A. Chambert-Loir, A Field guide to Algebra, Springer
- J.-P. Serre, A course in arithmetic, Springer
Homework: