Jan Jurka

I am currently a PhD student in mathematics at Masaryk University in the Czech Republic.

Email address: jurka@math.muni.cz

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

Publications

• 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). doi:10.46298/entics.14598.


• Jan Jurka, Jiří Rosický.
  Are Chain-Complete Posets Co-wellpowered?.
  Order 39, 71–76 (2022). doi:10.1007/s11083-021-09567-2.
  Corrected version: arXiv:2007.02255.

Preprints

• Jan Jurka.
  An Enriched Small Object Argument Over a Cofibrantly Generated Base.
  arXiv:2401.05974.


• Jan Jurka, Tomáš Perutka, Lukáš Vokřínek.
  Constructing spectra using cone injectivity.
  arXiv:2201.03516.

Conference Talks

• An Enriched Small Object Argument Over a Cofibrantly Generated Base - CT2024. (slides)


• Algebraic Reasoning over Relational Structures - MFPS 2024. (slides, video)

Seminar Talks

• Enriched locally graded categories - Algebra Seminar (Masaryk University, 2025).


• Varieties of Algebras Over Relational Structures - Algebra Seminar (Masaryk University, 2023).


• Varieties of Generalized Quantitative Algebras - Das Oberseminar des Lehrstuhls für Theoretische Informatik (Friedrich-Alexander-Universität Erlangen-Nürnberg, 2023).


• The small object argument for cones - Algebra Seminar (Masaryk University, 2022).