RMAST

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.

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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