Ruben Van Belle

I am a research associate at the University of Oxford, where I work with Sam Staton.

My research is focused on categorical probability. This is my CV.

I did my PhD at the University of Edinburgh under supervision of Tom Leinster. This is my PhD thesis.

My email address is ruben.van.belle@cs.ox.ac.uk.

Publications

R. Van Belle, Probability monads as codensity monads, Theory and Applications of Categories 38 (2022), no. 21, 811-842
R. Van Belle, A categorical proof of the Caratheodory extension theorem, arXiv:2210.01720
R. Van Belle, A categorical treatment of the Radon-Nikodym theorem and martingales, arXiv:2305.03421
P. Perrone and R. Van Belle, Convergence of martingales via enriched dagger categories arXiv:2404.15191

Kan extensions in probability theory	Marunouch, Quantitative Finance seminar	Tokyo	March 2023
Lax algebras in topology and probability theory	Applications of Categorical Probability Theory to Finance	Tokyo	February 2023

Convergence of martingales via enriched dagger categories	ACT2024	Oxford	June 2024
Radon-Nikodym derivatives and martingales	CT2023	Louvain-la-Neuve	July 2023
Radon-Nikodym derivatives and martingales	ItaCa	Pisa	December 2022
Radon-Nikodym derivatives and martingales in category theory	Hodge Club	Edinburgh	October 2022
A categorical proof for the Caratheodory extension theorem	CaCS 2022	Online	September 2022
An overview of categorical probability	Category Theory Seminar	Edinburgh	September 2022
Lax natural transformations and measures	PSSL	Brno	May 2022
Lax natural transformations and measures	Categorical Late Lunch	Edinburgh	March 2022
Categorical probability	Categorical Late Lunch	Edinburgh	November 2021
Probability monads as codensity monads	CT 20->21	Online	August 2021
Probability monads as codensity monads	Categorical Late Lunch	Edinburgh	August 2021
Lax algebras and topology	Categorical Late Lunch	Edinburgh	October 2020

I am a tutor at the University of Oxford

2024-2025: Continuous mathematics (Corpus Christi)
2023-2024: Discrete mathematics, Linear algebra, Continuous mathematics (Merton, Corpus Christi and Oriel)

I was a tutor at the University of Edinburgh.

2020: Proofs and problem solving, Calculus and applications
2020-2021: Geometry, Introduction to number theory, Engineering mathematics, Honours algebras skills
2021-2022: Introduction to linear algebra, Measure and integration, Engineering mathematics, Proofs and problem solving, Metric spaces
2022-2023: Introduction to linear algebra, probability theory, Calculus and applications, Metric spaces