Nicolò Forcillo

Nicolò Forcillo is a Visiting Assistant Professor at the Department of Mathematics, Michigan State University (MSU), since August 2023 under Prof. Russell Schwab. Previously, he held postdoctoral positions at Università di Roma Tor Vergata (2022–2023) and Università degli Studi di Bologna (2021–2022), where he completed his PhD under Prof. Fausto Ferrari's supervision. He also served as a junior fellow at the Institut Mittag-Leffler (2022) and collaborated internationally at institutions like the University of Pittsburgh and Columbia University.

His research focuses on Partial Differential Equations (PDEs), particularly in free boundary problems, sub-Riemannian geometry, and calculus of variations. Key topics include regularity theory for degenerate elliptic/parabolic PDEs, monotonicity formulas (e.g., Alt-Caffarelli-Friedman), and applications in geometric analysis and nonlinear phenomena. His work often explores non-Euclidean settings like Carnot groups and Heisenberg geometry.

Notable contributions include counterexamples to monotonicity behaviors in sub-Riemannian spaces, Lipschitz regularity of almost minimizers, and analysis of the ∞-Laplacian in non-Euclidean frameworks. His research bridges theoretical PDEs with geometric control theory, emphasizing both analytical rigor and interdisciplinary applications.