Michele Caselli
Michele Caselli
I am a PhD student in mathematics at the Scuola Normale Superiore in Pisa, under the supervision of Andrea Malchiodi (SNS) and Joaquim Serra (ETH Zurich).
Read my CV (updated June 2024):
CV.pdfResearch interests
Research interests
My research focuses on Geometric Analysis and Elliptic Partial Differential Equations. In particular:
The classical and fractional Allen-Cahn equation, and the interplay between phase transitions and minimal surfaces.
Nonlocal minimal surfaces in Riemannian manifolds and nonlocal approximation of classical minimal surfaces.
Regularity theory of elliptic PDEs and obstacle problems.