Welcome

I am currently a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences (Leipzig), in the group of Prof. Felix Otto.

Previously, I was a PhD student at the Laboratoire de Probabilités, Statistique et Modélisation (Paris) under the supervision of Prof. Lorenzo Zambotti and Prof. Cyril Labbé. You can find my PhD thesis here.

My mathematical interests are in the area of rough analysis, including in particular the theories of rough paths and regularity structures.

Publications and Preprints:

Hairer's multilevel Schauder estimates without Regularity Structures. Arxiv preprint (2023). (Joint with Francesco Caravenna and Lorenzo Zambotti).
The Sewing lemma for 0 < γ ≤ 1. J. Funct. Anal. 283 (2022), no. 10, Paper No. 109644, 34 pp. (Joint with Lorenzo Zambotti).
Besov Reconstruction. Potential Anal 59, 1875–1912 (2023). (Joint with David Lee).

Lecture notes:

Lecture notes on Malliavin calculus in regularity structures. Arxiv preprint (2024). (Joint with Felix Otto and Markus Tempelmayr).

Proceedings:

An example of singular elliptic stochastic PDE. Matemática Contemporânea, Volume 58 – XXV Brazilian School of Probability (2023). (Joint with Francesco Caravenna and Lorenzo Zambotti).

My CV:

CV-Lucas-BROUX_lite.pdf