Introduction to Modern Number Theory

Instructor: Guanghua JI

Classroom and Time: B115; 5-7, Mon

References:

(1) K Kato, N. Kurokawa, T. Saito, Number Theory I: Fermat's Dream and Class Field Theory.

(2) N. Kurokawa, M. Kurihara, T. Saito, Number Theory II: Iwasawa Theory and Modular Forms.

Syllabus:

1. Rational points on elliptic curves

2. p-adic numbers

3. Ideal theory

4. Local and global fields

5. Zeta- and L-functions

6. Class field theory

7. Modular Forms