Introduction
Welcome!
I am Tamás Kátay, a Junior Research Fellow at Alfréd Rényi Institute of Mathematics in Hungary.
Email: 13heted [at] gmail [dot] com
CV (last updated: November 9, 2024)
PhD thesis (defense expected in March 2025)
Research interests
Generally, 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;
Borel combinatorics and equivalence relations.
Recent talks
Generic properties of countably infinite groups, Logic, Categories, and Applications Seminar, University of Bologna (Jan 10, 2025)
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)
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)