Joshua L. Wrigley

I am currently a post-doc at Université Paris Cité working with Sam van Gool.

Before that, I was a post-doc at at Queen Mary University of London, working with Ivan Tomašić. I completed my PhD under the supervision of Olivia Caramello at the University of Insubria, studying topos theory.

My research involves the interaction between mathematical logic, topology, and category theory. I am especially interested in topos-theoretic approaches to model theory.

E-mail: wrigley@irif.fr
Address: Building Sophie Germain, 8 place Aurélie Nemours, 75013 Paris.
My CV is available here.

Some properties of internal locale morphisms externalised, Theory and Applications of Categories, Vol. 41, No. 35, pp. 1160-1202 (2024).

Topoi with enough points and topological groupoids, Preprint (2024).

Existentially closed models and locally zero-dimensional toposes, with Mark Kamsma, Preprint (2024).

The representing localic groupoid for a geometric theory, with Graham Manuell, Expositions in Theory and Applications of Categories No. 2 (2024).

Doctrinal and groupoidal representations of classifying topoi, PhD thesis (2024).

Topological groupoids for classifying toposes, Talk at ItaCa Fest (2023).

On topological groupoids that represent theories, Preprint (2023).

The geometric and sub-geometric completions of doctrines, Talk at SYCO11 (2023).

The geometric completion of a doctrine, Preprint (2023).

A topos-theoretic perspective on properly discontinuous actions, Talk at 2nd ItaCa workshop (2021).