Paolo Tilli

Paolo Tilli is a Full Professor in the Department of Mathematical Sciences "G. L. Lagrange" (DISMA) at Politecnico di Torino, Italy. He is actively involved in research, teaching, and doctoral supervision, with a strong presence in mathematical analysis and its applications.

His research focuses on calculus of variations, partial differential equations, shape optimization, and phase space analysis with applications to quantum mechanics. He is a member of the Analysis and Quantum Theory research group at DISMA, and his work spans theoretical analysis of singular models, spectral theory, and nonlinear dynamics on networks and metric graphs.

The recent publications of Paolo Tilli reveal a consistent and high-impact research trajectory in nonlinear PDEs, time-frequency analysis, and quantum graphs. His work frequently appears in top journals such as Inventiones Mathematicae and Advances in Mathematics, with a focus on Faber-Krahn inequalities, localization operators, and ground states in nonlinear Schrödinger equations. These contributions reflect deep analytical techniques and interdisciplinary relevance, particularly in mathematical physics and signal processing.

He has supervised PhD students including Federico Riccardi and has been a long-standing member of doctoral college committees for the PhD programs in Mathematical Sciences at Politecnico di Torino and the University of Turin. His teaching includes core courses such as Metodi Variazionali e Applicazioni and Analisi Matematica II across various engineering and mathematics programs.

His research groups include:

• Analysis and Quantum Theory Group (DISMA)