About me

I am Assistant Professor (Profesor Ayudante Doctor) in the Department of Mathematics of Universidad Autónoma de Madrid.

Prior to this, between 2022 and 2024 I was a postdoctoral researcher in the Stochastic Analysis group at Imperial College London, in the group of Xue-Mei Li. I obtained my PhD from the Max Planck Institute for Mathematics in the Sciences (Leipzig) under the supervision of Felix Otto.

My interests lie at the intersection of Probability, Analysis of PDEs and Algebra. More specifically, my research focuses on singular stochastic PDEs, rough paths, regularity structures, multi-scale stochastic dynamics, and algebraic structures emerging from renormalization.

I currently coorganize the PDE Seminar UAM-ICMAT with María Ángeles García Ferrero.

My full CV is available upon request.

Publications and preprints

• Insertion pre-Lie products and translation of rough paths based on mulit-indices. Ann. Inst. H. Poincaré Probab. Statist. 62(3), 1814-1847 (2026)  [article]

• A top-down approach to algebraic renormalization of regularity structures based on multi-indices. (with Y. Bruned) Arch Rational Mech Anal 248, 111 (2024). [article]

• A diagram-free approach to the stochastic estimates in regularity structures. (with F. Otto, M. Tempelmayr and P. Tsatsoulis) Invent. math. 237, 1469-1565 (2024). [article]

• The structure group for quasi-linear equations via universal enveloping algebras. (with F. Otto and M. Tempelmayr) Comm. Amer. Math. Soc. 3, 1-64 (2023). [article]

• A tree-free approach to regularity structures: The regular case for quasi-linear equations. (with F. Otto) [preprint]

Contributions to proceedings

• Trees vs. multi-indices in rough paths and regularity structures. Directions in Rough Analysis. Oberwolfach Rep. 21 (2024), no. 4, pp. 2901–2948.  [article]

• Algebraic renormalization of rough paths and regularity structures based on multi-indices. Mini-Workshop: Combinatorial and Algebraic Structures in Rough Analysis and Related Fields. Oberwolfach Rep. 20 (2023), no. 4, pp. 3063–3102. [article]