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

  1. Introduction to Pari/GP
  2. Basic algorithms in number theory
  3. Modular forms
  4. Arithmetic of elliptic curves
  5. L-functions
  6. Computational algorithms for BSD, RH

Literature

  1. Chapter 2: A Course in Computational Algebraic Number Theory - Henri Cohen
  2. A course in arithmetic - Jean Pierre Serre

Code Repository

Coming soon

Course Notes

Notes and code will be prepared for this course. Coming soon.