Angel Toledo

I'm a mathematician interested in algebraic geometry and higher category theory.  I particularly work with derived categories in algebraic geometry, Fourier-Mukai partners, tensor triangulated categories, the homotopy theory of dg-categories, deformation theory, and moduli spaces showing up in the study of derived categories. 

I will be a postdoc at BIMSA starting on the Fall of 2024.

I finished my PhD in January 2023 at the Université Côte d'Azur under the supervision of Carlos Simpson. My thesis was titled 'Espaces de produits tensoriels sur la catégorie dérivée d'une variété' (Spaces of tensor products on the derived category of a variety). You can find the slides of my thesis defense here.

I was an ATER at the same university until September 2023. 

Previously I did a double masters degree at the Universitá degli studi di Padova and the Université de Bordeaux under the ALGANT master program. 

Before that I completed my bachelors degree in pure mathematics at the Universidad Nacional Autonoma de México. 

Research

1. Espaces de produits tensoriels sur la catégorie dérivée d'une variété - HAL.

2. Tensor triangulated category structures in the derived category of a variety with big (anti-)canonical bundle (in Pacific Journal of Mathematics) -  arXiv.

3. Davydov-Yetter cohomology for Tensor Triangulated Categories - arXiv.