Jan Jurka - Personal Webpage

I am a mathematician, more specifically a category theorist, and I finished my Ph.D. at Masaryk University in the Czech Republic under the supervision of John Bourke in April 2025.

During my Ph.D. studies I wrote the dissertation: Weak and enriched aspects of category theory.

Email address: jan.jurka@mail.muni.cz

Research interests: Category theory, universal algebra, and order theory. I also enjoy thinking about effect algebras, semigroup theory, theoretical computer science, and artificial intelligence.

Publications

Jan Jurka.
An enriched small object argument over a cofibrantly generated base.
Theory and Applications of Categories 44, 439–473 (2025).
Jan Jurka, Stefan Milius, Henning Urbat.
Algebraic Reasoning over Relational Structures.
Electronic Notes in Theoretical Informatics and Computer Science 4 (Proceedings of MFPS XL), 13:1–13:20 (2024).
Jan Jurka, Jiří Rosický.
Are Chain-Complete Posets Co-wellpowered?.
Order 39, 71–76 (2022).
Erratum:

Preprints

Elliot Glazer, Ege Erdil, Tamay Besiroglu, et al.
FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI.
Jan Jurka, Tomáš Perutka, Lukáš Vokřínek.
Constructing generalized schemes using cone injectivity.

Conference Talks

An Enriched Small Object Argument Over a Cofibrantly Generated Base.
CT2024, Santiago de Compostela.
Algebraic Reasoning over Relational Structures.
MFPS 2024, Oxford.

Seminar Talks

Enriched locally graded categories.
Algebra Seminar, Brno (Masaryk University, 2025).
Varieties of Algebras Over Relational Structures.
Algebra Seminar, Brno (Masaryk University, 2023).
Varieties of Generalized Quantitative Algebras.
Das Oberseminar des Lehrstuhls für Theoretische Informatik, Erlangen (Friedrich-Alexander-Universität Erlangen-Nürnberg, 2023).
The small object argument for cones.
Algebra Seminar, Brno (Masaryk University, 2022).