I am a fourth year PhD student at the University of Edinburgh. My supervisor is Tom Leinster.

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

My email address is ruben.van.belle@ed.ac.uk.

- Probability monads as codensity monads, Theory and Applications of Categories 38 (2022), no. 21, 811-842
- A categorical proof of the Caratheodory extension theorem, arXiv:2210.01720
- A categorical proof of the Radon-Nikodym theorem,
*in preparation*

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 |

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 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

I co-organize, with Emily Roff, Edinburgh's Category Theory seminar