I am currently thinking about problems related with derived categories of coherent sheaves, more precisely on interactions between (equivariant) derived categories and moduli theory, and relations with geometric representation theory.
1. Moduli of Quiver Representations and Tautological Bundles (Master Thesis), 2026, under the supervision of Prof. Tudor Pădurariu (work in progress).
2. Derived Categories and Localization (Bachelor Thesis), 2024, under the supervision of Prof. Fernando Muro Jiménez.
Spanish version (official version)
English version (unofficial)
Notes on a talk based on the paper "The Derived Category of a GIT Quotient" by D. Halpern-Leistner for the Graduate Seminar in Algebraic Geometry SoSe26 at University of Bonn on "Stacks,Matrix Factorisations, and the D-Equivalence Conjecture".
Notes on a talk introducing Bridgeland stability conditions on triangulated categories, within the Reading Seminar on Bridgeland Stability organised SoSe26 at University of Bonn.
Some notes on tt-geometry based on a seminar talk at the University of Bonn and a short talk at BIREP 2025: Overview of tt-geometry. The Balmer Spectrum of Perfect Complexes.
Also, I sometimes ask some questions in MathOverflow.