Umberto Tarantino

he/they

Portrait by Marta Meinardi

PhD student at IRIF

e-mail

tarantino at irif dot fr

address

Office 4060
8 place Aurélie Nemours
75013 Paris

I am a third-year PhD student in Theoretical Computer Science at IRIF, under the supervision of Sam van Gool. My main interests are categorical logic and duality theory: a central objective of my research project is to understand ultracategories as semantic duals of first-order theories, with an eye towards possible applications to topos theory and intuitionistic model theory. I am also broadly interested in formal category theory as a structuralist approach to category theory itself.

Before that, I obtained a Master’s degree in Mathematics at the Università degli Studi di Milano Statale, but I spent the second year abroad at the University of Amsterdam with a foot in the MasterMath program and the other in the Master of Logic. My Master’s thesis, written at the ILLC under the supervision of Benno van den Berg, is available here, and it won the 2025 AILA 3+2 Award for the best Master’s thesis in Mathematical Logic.

Publications

2026

Joint work with Sam van Gool and Jérémie Marquès
Journal of Pure and Applied Algebra, 230 (6): 108269

2025

Theory and Applications of Categories, 44 (4): 132–180

Preprints

Teaching

Fall 2026

Logique · L3 Informatique, Université Paris Cité
Exercise classes (French) · Lecturer: Sylvain Schmitz

Spring 2026

Introduction à la programmation 2 · L1 Informatique, Université Paris Cité
Lab classes (French) · Lecturer: Daniela Petrişan

Fall 2025

Programmation 1 · S5 EIDD, Université Paris Cité
Lab classes (French) · Lecturer: Pierre Charbit

Fall 2024

Programmation 1 · S5 EIDD, Université Paris Cité
Lab classes · Lecturer: Pierre Charbit

Spring 2024

Topos theory · MasterMath, Utrecht University
Exercise classes · Lecturer: Jaap van Oosten

Community and events

2026 – today

Curator of the ItaCa website

2025 – today

Organizer of the Realizability reading group at IRIF

2025 – today

Organizer of the queeRIF meetings

Dec 2026

Organizer of the 7th ItaCa Workshop

June 2026

2024 – 2025

Organizer of the Topos theory reading group at IRIF

Talks

2026

Making Categorical Model Theory Accessible · Masaryk University
Gothenburg Logic Seminar · Göteborgs Universitet
Stockholm Logic Seminar · Stockholms Universitet
7th Workshop on Formal Topology · Venice
Toposes with enough points as categories of étale spaces
Séminaires LoCal · LIPN

2025

Toposes with enough points as categories of étale spaces
ItaCa Workshop 2025 · Università degli Studi di Milano
CT2025 · Masaryk University
Realizability Workshop · CIRM, Marseille
Arrow algebras, algebraic structures for modified realizability
GT Sémantique · IRIF
Séminaire des membres non-permanents · IRIF

2024

Categorical Logic and Higher Categories · University of Manchester
Dutch Categories And Types Seminar · Universiteit Leiden