Raffael Stenzel
Postdoc in Pure Mathematics
Raffael Stenzel
Postdoc in Pure Mathematics
Work and Education
At the moment, I am a Research Fellow in Higher Category Theory at the University of Leeds with a Visiting Position at the University of Manchester, UK. The according project is led by Andrew Brooke-Taylor and Nicola Gambino. Before I was a postdoctoral researcher at the MPIM Bonn, Germany, and at the Department for Mathematics and Statistics of Masaryk University in Brno, CZ. As such I was part of the Abstract Homotopy Theory Group led by Viktoriya Ozornova, and part of the Algebra Group led by Jiří Rosický and John Bourke, respectively. I completed my PhD with Nicola Gambino at the University of Leeds, UK, in 2019 studying various classes of homotopy theories with a view towards their higher categorical semantics of Homotopy Type Theory. I did my BSc (2012) and MSc (2014) in Mathematics at the Rheinische Friedrich-Wilhelms-Universität Bonn in Germany with a focus on algebraic topology, set theory and mathematical logic.
My research activities are centered around univalent type theory and higher category theory, and as such are directed towards their aspects in homotopical algebra and higher topos theory.
Preprints and Publications:
Lurie's Unstraightening as a weak biequivalence of infinity-cosmoses
Infinity-categorical comprehension schemes (TAC Vol. 43(6) 2025 Lawvere Festschrift)
On notions of compactness, object classifiers and weak Tarski universes (MSCS Vol. 33 (Special Issue 8: Homotopy Type Theory 2019) 2023)
Univalence and completeness of Segal objects (JPAA Vol. 227(4) 2023)
Some recent talks:
The higher algebra of monoidal bicategories (CT2025, Masaryk University, Brno, CZ)
Higher covering diagrams (CATNIP Dec 2024, University of Aberdeen, Aberdeen, UK)
The (infinity, 2)-category of internal (infinity,1)-categories (TACL2024, Universitat de Barcelona & The Artificial Intelligence Research Institute (CSIC), Barcelona, Spain)
The Comparison Lemma in higher topos theory (ItaCa Fest 2023, Online Webinar of the Italian Category Theory Community)
Miscellaneous:
Reviews written for MathSciNet and zbMATH Open.
Handwritten lecture notes for a postgrad course on "Categorical models of type theory" held at Masaryk University during the summer term 2022.
A guest blog post on the n-Category Café about Right properness of left Bousfield localizations from 2019.
Documents:
Contact:
raffael dot stenzel at gmail dot com