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. I am currently visiting Stellenbosch University, South Africa.
I am part of the Future Mathematicians Programme, hosting mathematical structures explorations in various cities of South Africa, with the aim to expose school learners and undergraduates to abstract mathematics.

My main research interests are category theory and its applications to algebra, logic and geometry. In particular, I have a keen interest in fibrations and the Grothendieck construction,
2-categories, categorical algebra, enriched categories and topos theory.

In June 2024 I obtained my PhD in Mathematics at the University of Leeds, UK, under the supervision of Nicola Gambino.
I visited the University of Genova, Italy, in 2023, and the University of Manchester, UK, in 2022 and 2023.

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.