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Mészáros's project explores the connections between graph limit theory and random simplicial complexes, focusing on their homology and the cokernels of random integral matrices. This research aims to uncover new applications and insights in mathematics, particularly in stochastic topology and related fields.
Graph limit theory is a rapidly developing field of mathematics. Mészáros proposes to use ideas from graph limit theory to answer questions about random simplicial complexes.
The motivation for investigating the cokernels of random integral matrices comes from the number theoretic conjectures of Cohen and Lenstra. Mészáros plans to make use of the fact that the questions arising studying the homology of random simplicial complexes are very similar to questions about the cokernels of random integ…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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