András Mészáros

I am a Postdoctoral Fellow at the Alfréd Rényi Institute of Mathematics.
For three years, I was a Brauer Postdoctoral Fellow at University of Toronto Scarborough, Department of Computer and Mathematical Sciences mentored by Bálint Virág. I returned to Hungary in 2024.
I obtained my PhD at Central European University in 2021. My advisor was Miklós Abért. My Math Genealogy page.

My research is supported by the NKKP Starting grant "Homology of random simplicial complexes, Cohen-Lenstra heuristics and graph limits".

Research interest: Random matrices, graphs and simplicial complexes; Graph limits; Algebraic and spectral graph theory; Random processes on graphs

CV

E-mail: meszaros (at) renyi.hu

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Publications:

• Universal constant order fluctuations for the cokernels of block lower triangular matrices, 2024 preprint
• A phase transition for the cokernels of random band matrices over the p-adic integers, 2024 preprint
• The 2-torsion of determinantal hypertrees is not Cohen-Lenstra, 2024, To appear in Israel Journal of Mathematics, preprint
• Bounds on the mod 2 homology of random 2-dimensional determinantal hypertrees, Combinatorica 45, 17 (2025) published version, preprint
• Coboundary expansion for the union of determinantal hypertrees, Random Structures & Algorithms 65 (4), 896-914, 2024, published version, preprint
• (with Yuri Bakhtin, Konstantin Khanin and Jeremy Voltz) Last passage percolation in a product-type random environment, 2023, To appear in Annales de l’Institut Henri Poincare (B) Probability and Statistics, preprint
• Cohen-Lenstra distribution for sparse matrices with determinantal biasing, International Mathematics Research Notices, 2025(3), 1–19, published version, preprint
• (with Bálint Virág) Eigenvectors of the square grid plus GUE, Communications in Mathematical Physics 405 (1), 1-49, 2024, published version, preprint, a talk
• The local weak limit of k-dimensional hypertrees. Transactions of the American Mathematical Society, 375 (2022), 6127-6154, published version, preprint
• On the free energy density of factor models on biregular graphs, 2020 preprint
• Matchings on trees and the adjacency matrix: A determinantal viewpoint, Random Structures & Algorithms 63(3), 753-778, 2023. published version, preprint
• A BK inequality for random matchings, Combinatorics, Probability and Computing 32 (1), 151-157, 2023. published version, preprint
• (with Ferenc Bencs) Atoms of the matching measure, Electron. J. Probab. 27 1 - 38, 2022. published version, preprint
• Limiting entropy of determinantal processes. Annals of Probability, Volume 48, Number 5 (2020), 2615-2643. published version, preprint
• The distribution of sandpile groups of random regular graphs. Transactions of the American Mathematical Society, 373 (2020), 6529-6594 published version, preprint
• A note on disjoint dijoins. Combinatorica 38, 1485–1488 (2018). published version, preprint
• New bounds for 3-part Sperner families. Moscow J. Combin.Number Theory, 5:255-273, (2015) published version

Selected past talks:

• CMS Winter Meeting, December 1-4, 2023. Montreal, Canada
• Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics, April 22-May 26, 2023. Luminy, France
• (Poster at) The 24th Midrasha Mathematicae: Random Schrödinger Operators and Random Matrices, May 14-18, 2023. Jerusalem, Israel
• Random Matrix Eurasia, April 18-May 13, 2022. Singapore
• TDA week, Feb 14-18, 2022. Japan (online)
• Algebraic questions in random integral matrices, November 14-15, 2020. Columbus, Ohio
• UW-Madison Probability Seminar, August 10, 2018. Madison, Wisconsin
• Zamecek workshop on Analytic combinatorics, 2017
• Summit 240, July 7-11, 2014. Budapest

Last update: March 17, 2025