Group: Algebraic Geometry
Office: A3-3-101
Email: angeltoledo@bimsa.cn
Research Field: Algebraic Geometry
Webpage: https://sites.google.com/view/angeltoledo
Biography
I grew up in Mexico where I went to get a bachelors in pure mathematics at the National Autonomous University of Mexico and where I first got interested in noncommutative ring theory. I then obtained a double masters degree in mathematics at the University of Padova and the University of Bordeaux under the ALGANT Master program, and where I focused in arithmetic geometry. For my PhD I moved to Nice where I worked under the supervision of Carlos Simpson at the Université Côte d'Azur and where I graduated with a thesis titled "Spaces of tensor products on the derived category of a variety".
I'm mainly interested in questions involving derived categories in algebraic geometry with a focus on noncommutative derived algebraic geometry. This in particular usually involves questions in the realm of derived algebraic geometry broadly defined and the formal homotopy theory of different flavors of higher categories. I think a lot about the interactions of these topics with tensor triangulated geometry and potential applications towards homological mirror symmetry.
Publication
- [1] Artan Sheshmani and Angel Toledo, Relative Monoidal Bondal-Orlov, arXiv:2410.20942 (2024)
- [2] Angel Toledo, Tensor triangulated category structures in the derived category of a variety with big (anti)canonical bundle, Pacific Journal of Mathematics (2024)
- [3] Angel Toledo, Davydov-Yetter cohomology for Tensor Triangulated Categories (2023)
Update Time: 2025-05-20 15:34:26