- PhD Student
I am a PhD student supervised by Marcelo Fiore and co-supervised by Chris Kapulkin.
Research
I am working on category theory and homotopy type theory.
Teaching
Professional Activities
Talks given:
- Extensional concepts in intensional type theory, revisited.
- Geometry and Topology Seminar. 22 January 2025. University of Western Ontario.
- HoTT/UF 2025. 15 April 2025. Università di Genova. [abstract, slides].
- TYPES 2025. 15 June 2025. University of Strathclyde. [abstract, slides].
- CT 2025. 14 July 2025. Masaryk University. [abstract, slides].
- (Pointed) Univalence in Universe Category Models of Type Theory.
- CSCAT 2026. 17 March 2026. AOSSA.
- FP Lunch. 27 March 2026. University of Nottingham.
- Pushforwards in Inverse Homotopical Diagrams.
Publications
- Krzysztof Kapulkin and Yufeng Li. A Toolkit for Structured Lifts. Theory and Applications of Categories, 2026.
- Krzysztof Kapulkin and Yufeng Li. Extensional concepts in intensional type theory, revisited. Theoretical Computer Science, 2025.
Preprints
- Krzysztof Kapulkin and Yufeng Li. Yet another cubical type theory, but via a semantic approach. cs.LO 2512.17548.
- Krzysztof Kapulkin and Yufeng Li. (Pointed) Univalence in Universe Category Models of Type Theory. cs.LO 2512.16697.
- Krzysztof Kapulkin and Yufeng Li. Pushforwards in Inverse Homotopical Diagrams. math.CT 2506.04472.
- Marcelo Fiore, Krzysztof Kapulkin and Yufeng Li. Logical Structure on Inverse Functor Categories. math.CT 2410.11728.

