I'm currently in the job market
I'm a mathematician interested in algebraic geometry and higher category theory. I particularly work with derived categories in algebraic geometry and derived algebraic geometry, Fourier-Mukai partners, tensor triangulated categories, the homotopy theory of higher categories, deformation theory, and moduli spaces showing up in the study of derived categories.
I have joined BIMSA as of September 2024 where I work as a postdoc in the group of Artan Sheshmani.
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.
I visited the Hausdorff Instute of Mathematics in the fall of 2022 during the special semester "Spectral Methods in Algebra, Geometry, and Topology". I was also a visitor at the Institute of Mathematics of the Universidad Nacional Autónoma de México during the spring of 2024.
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 Autonóma de México.
Espaces de produits tensoriels sur la catégorie dérivée d'une variété - HAL.
Tensor triangulated category structures in the derived category of a variety with big (anti-)canonical bundle (in Pacific Journal of Mathematics) - arXiv (March 2023)
Davydov-Yetter cohomology for Tensor Triangulated Categories - arXiv (October 2023)
Relative Monoidal Bondal-Orlov (with Artan Sheshmani) - arXiv (October 2024).
Tensor-Hochschild complex (with Slava Pimenov) - arXiv (May 2025).
Towards Koszulity for categorical structures: category of 2-nets (with Slava Pimenov) - arXiv (August 2026).
Together with Slava Pimenov, I'm organizing the seminar Disquisitions on Monoidal Categories and Operads at BIMSA during the Spring semester of 2026. We are supported by our Beijing NSF grant "Deformation of algebras over higher symmetric operads".