Angel Toledo

Full name: Angel Israel Toledo Castro
My name follows hispanic america naming conventions

Contact

Laboratoire J. A. Dieudonné 
UMR CNRS-UNS N°7351 
Université Côte d'Azur 
Parc Valrose 
06108 NICE Cedex 2 

Office: 801

e-mail: toledo [at] unice.fr

 

 

About

Im an ATER at the University Cote d'Azur. I completed my PhD under the supervision of Carlos Simpson in January 2023 with a thesis titled 'Espaces de produits tensoriels sur la catégorie dérivée d'une variété'. Here are the slides of my thesis defense.

Im mainly interested in higher category theory and noncommutative derived algebraic geometry. In particular I'm interested in the interplay between the geometry of a variety and its derived category equipped ( or not ) with a tensor structure and the associated Balmer spaces. I work mainly with dg-categories as a model for enhancing triangulated categories and I'm interested in their formal (homotopy) theory.

Before that, I completed my masters degree under the ALGANT joint master program at the University of Padova and the University of Bordeaux, previously I completed my bachelors at the National Autonomous University of Mexico.

Research

[1] Spaces of tensor products on the derived category of a variety (PhD thesis)

[2] Tensor triangulated category structures in the derived category of a variety with big (anti-)canonical bundle

[3] Davydov-Yetter cohomology for monoidal pretriangulated dg-categories ( In preparation )