Amit Kumar Basistha

As I am still in my first year of PhD, I am mostly exploring different areas with my advisor while obtaining some mathematical background to start working on a specific problem. I have done reading courses on Elliptic Curves, Modular Forms, the Local Langlands Program and Representations of p-adic Reductive Groups. Currently, I plan to research on a topic that is closely related to these fields.

1. Analytic Continuation of the Riemann Zeta Function and the Prime Number Theorem (7th October 2023), Math Club, Indian Statistical Institute, Bangalore Center. Details.

2. The Analytic Class Number Formula (19th June 2024), as a part of the student presentations for the Visiting Students’ Research Program by Tata Institute of Fundamental Research held online. Notes. (If you want to have a look at my project report you can find it here.)

3. Homological Methods in Number Theory (11th August 2024), Math Club, Indian Statistical Institute, Bangalore Centre. Details.

4. Elliptic Integrals (23rd October 2024), as a part of an online learning seminar on Elliptic Curves organized by the Math Club of the Indian Institute of Science Education and Research, Tirupati.

5. The j invariant (25th February 2025), as a part of an online learning seminar on Elliptic Curves organized by the Math Club of the Indian Institute of Science Education and Research, Tirupati.