CORDIS Project
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This project explores high-dimensional probability and combinatorics, focusing on random matrices, hypergraph Ramsey numbers, and the Chowla cosine problem. It aims to establish sharp bounds and limiting distributions while advancing understanding in these complex mathematical areas.
This project concerns three related topics concerning high dimensional probability and combinatorics.
The first part concerns fundamental questions concerning random matrices.
These include the problem of finding sharp bounds on the singularity probabilities for discrete random matrices; and determining the limiting spectral distributions of ``sparse'' matrix models.
The second major goal of this project is to make progress on the hypergraph Ramsey numbers and the multi-colour Ramsey numbers. T…
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