The goal of the project is to study deterministic problems in Number Theory and Mathematical Physics using random models. We cover a wide range of such problems, using a broad assortment of tools from several fields, such as analytic number theory, function field arithmetic, partial differential equations and random matrix theory.
Examples of recent projects:
The distribution of angles of Gaussian primes https://arxiv.org/abs/1705.07498
Prime lattice points in ovals https://arxiv.org/abs/1803.03013
Minimal gaps in the spectrum of billiards https://arxiv.org/abs/1604.02413
Statistics of the Robin-Neumann gaps https://arxiv.org/abs/2008.07400