Leonhard Hochfilzer


My Interests:

During my PhD I am focussing on problems using the circle method in order to count rational points on varieties. In particular, I am working on problems related to Manin's conjectures. More recently I also started working on a counting problem over function fields in collaboration with Jakob Glas.

In the past I have done some research on Artin L-functions and Maass forms joint with Thomas Oliver. During my Master's project I investigated von Mangoldt functions attached to Galois representations of function fields, and how random matrix theory can help us to understand them in short intervals (article below).Here is an accessible summary about this project.

On the side I have also been involved in some applied projects.

Publications & Pre-prints: