About me
My email address is luca.mesiti@outlook.com
I am a postdoctoral fellow at the Mathematics division of the University of KwaZulu-Natal, South Africa, working on category theory and its applications to algebra, pointfree topology and gravity theory.
In July 2024 I obtained my PhD in category theory at the University of Leeds, UK, under the supervision of Nicola Gambino.
I was a teaching assistant of the Adjoint School 2024 for Dorette Pronk’s project on double fibrations. I visited the University of Genova, Italy, from August 2023 to October 2023. Before that, I visited the University of Manchester, UK, from September 2022 to August 2023.
My main research interests are category theory and its applications to logic, algebra and geometry, as well as to physics and computer science.
More precisely, I have a keen interest in fibrations and the Grothendieck construction,
2-categories, categorical algebra, enriched categories and topos theory.
My PhD thesis contributed to expand 2-categorical elementary topos theory. In particular, I presented a novel technique of reduction of the study of 2-classifiers to dense generators.
I then applied it to generalize to dimension 2 the fundamental result that Grothendieck topoi are elementary topoi. In order to reach my main theorems, I produced an original calculus of colimits in 2-dimensional slices and an indexed version of the Grothendieck construction.
I am very passionate about research and I am a positive person who always smiles. I value love, truth and communication.
In my free time, I like travelling as well as creating and playing board games.