Joshua L. Wrigley

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 topologically inspired generating data for classifying toposes.

E-mail: jwrigley@uninsubria.it
Address: Via Valleggio n. 11, 22100 Como CO.
My CV is available here.

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 representing localic groupoid for a geometric theory, with Graham Manuell, Preprint (2023).

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

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

Some properties of internal locale morphisms externalised, Preprint (2023).

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