Computational Number Theory - 1
Lecture course
This course will focus on analytic and arithmetic aspects of number theory.
The course will be taught in the Winter Semester of 2024-25 at the Max Planck Institute for Mathematics in the Sciences, Leipzig.
To audit the course online, please send me an email at kidambi[AT]duck[dot]com
Organizational details
Coming soon
Course schedule
Coming soon
Course Outline
We will potentially consider the following topics
- Introduction to Pari/GP
- Basic algorithms in number theory
- Modular forms
- Arithmetic of elliptic curves
- L-functions
- Computational algorithms for BSD, RH
Literature
- Chapter 2: A Course in Computational Algebraic Number Theory - Henri Cohen
- A course in arithmetic - Jean Pierre Serre
Code Repository
Coming soon
Course Notes
Notes and code will be prepared for this course. Coming soon.