Research

Papers

1. Flat s-minimal surfaces are smooth (with J. Serra),  in preparation

2. C^\infty partial regularity in the thin obstacle problem, in preparation

3. Partial regularity for BV^\mathcal{B} minimizers, preprint

4. Free boundary partial regularity in the thin obstacle problem (with J. Serra), Comm. Pure and Appl. Math., 77 (2024), no. 1, 630-669.  slides

5. Expansion of the fundamental solution of a second-order elliptic operator with analytic coefficients (with F. Glaudo), Proc. London Math. Soc., 127 (2023), 1028-1056.

6. C^\infty partial regularity of the singular set in the obstacle problem (with W. Zatoń), to appear in Anal. PDE. slides

Talks 

1. Differential Geometry and Geometric Analysis Seminar: Princeton University, April 2024

2. Analysis seminar: Politecnico di Torino, December 2023.

3. BIRS-IMAG Nonlinear Diffusion and nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures, Granada, May 2023.

4. Workshop: Regularity Theory for Free Boundary and Geometric Variational Problems II,  Pisa, July 2022.

5. Workshop: Regularity for nonlinear diffusion equations, Green functions and functional inequalities, Madrid, June 2022.

6. Analysis seminar: National University of Singapore (NUS), online, March 2022.

7. Analysis seminar: École polytechnique fédérale de Lausanne (EPFL), online, March 2021.