About Me:
I am a mathematician and currently a postdoc in the group of Thomas Vetterlein at Johannes Kepler University in Austria. In February 2025 I finished my PhD under John Bourke at Masaryk University in the Czech republic.
You can see my CV here.
My interests are quantum structures, 2-categories and lax structures in two-dimensional monad theory.
Talks:
- 2022: Codescent objects and lax coherence, Johns Hopkins Category Theory Seminar
- 2023: Factorization systems as double categories, CT 2023, (PDF)
- 2023: Quasi-limits and lax flexibility, Octoberfest 2023, (PDF)
- 2024: Turning lax monoidal categories into strict ones, PTSPC24, (PDF)
- 2024: Lax adjunctions and lax-idempotent pseudomonads, CT 2024, (PDF)
- 2024: Double categories versus factorization systems, Second virtual workshop on double categories, (PDF)(VIDEO)
- 2024: Some characterizations of lax idempotency for pseudomonads PSSL 2024, (PDF)
Publications:
- "Factorization systems and double categories." Theory And Applications Of Categories 41.18 (2024): 551-592. (PDF)
- "Colax adjunctions and lax-idempotent pseudomonads." Theory and Applications of Categories, 44.7 (2025): 227-271. (PDF)
PhD Thesis:
Lax structures in 2-category theory (PDF). The slides from my PhD defense are also available: (PDF).Hi! This is me in 2025:
Contact me at "miloslav.stepan@mail.muni.cz".