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Tamás Kátay
Hedrick Math Fellow
Department of Mathematics, UCLA.
Office: MS 6240
Email:
13heted [at] gmail [dot] com OR
katay [at] math [dot] ucla [dot] edu
CV (last update: September 18, 2026)
PhD thesis with minor corrections
Research interests
I am interested in set theory, logic, measure theory, dynamical systems, general topology, and real analysis. More specifically, my field of research is descriptive set theory, and I am enthusiastic about:
the generic behavior in the sense of Baire category in various spaces of objects (spaces of sets, functions, structures, etc.);
infinite games;
descriptive combinatorics and Borel equivalence relations.
Recent talks
2026
Generic group properties, ATTI 2026, online (July 23, 2026)
The CSP Dichotomy and Weak Choice, Logic Seminar, UCLA (June 1, 2026)
Generalizing Howson’s theorem on finitely generated subgroups of a free group, AMS Spring Western Sectional Meeting, Boise State University (March 7, 2026)
Generalizing Howson’s theorem on finitely generated subgroups of a free group, SEALS 2026, University of Florida (March 1, 2026)
2025
Elusive properties of countably infinite graphs, Logic Seminar, UCLA (Dec 1, 2025)
Generic group properties, Logic Seminar, Caltech (Oct 22, 2025)
Generic properties of countably infinite groups, Logic, Categories, and Applications Seminar, University of Bologna (Jan 10, 2025)
2024
A dichotomy theorem for infinite CSPs, Algebra Seminar, Eötvös Loránd University (Oct 10, 2024)
Generic properties of groups, Logic Colloquium of the Association for Symbolic Logic, Gothenburg, Sweden (Jun 24-29, 2024)
Generic properties of countably infinite groups, Analysis Seminar, Alfréd Rényi Institute of Mathematics (Feb 15, 2024)
Generic properties of countably infinite groups, Logic Seminar, Cornell University (Feb 9, 2024)
Elusive properties of countably infinite graphs, Winter School in Abstract Analysis, Section Set Theory, Hejnice, Czech Republic (Jan 27 - Feb 3, 2024)
2023
Generic properties of countably infinite groups, Descriptive Dynamics and Combinatorics Seminar, McGill University (Oct 31, 2023)
Generic Besicovitch sets in the plane, Conference on Generic Structures, Będlewo, Poland (Oct 23-28, 2023)
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