Lorenzo Tentarelli

Lorenzo Tentarelli is an Associate Professor in the Department of Mathematical Sciences "G.L. Lagrange" (DISMA) at Politecnico di Torino, where he conducts research in mathematical analysis, particularly focusing on partial differential equations and variational methods. He is actively involved in teaching undergraduate and doctoral courses in mathematical analysis and engineering mathematics, and contributes to research groups such as "Analisi Non Lineare e Calcolo delle Variazioni."

• University: Politecnico di Torino
• Department: Department of Mathematical Sciences "G.L. Lagrange" (DISMA)
• Academic Rank: Associate Professor
• Email: lorenzo.tentarelli@polito.it, lorenzo.tentarelli@gmail.com

His research interests include:

• Partial differential equations (PDEs)
• Nonlinear Schrödinger equations (NLSE) with point and sphere-concentrated nonlinearities
• Singular perturbations on non-standard domains
• Nonlinear hyperbolic PDEs analyzed via minimization techniques
• Analysis on metric and hybrid graphs
• Variational methods and energy minimization

The recent articles highlight a consistent focus on nonlinear PDEs, especially the NLSE and NLDE, on singular and graph-based domains. The work demonstrates advanced use of variational and minimization techniques to study existence, symmetry, stability, and blow-up of solutions. There is a clear trend toward understanding quantum models on hybrid and metric graphs, including symmetry breaking and ground state properties.

There are no explicitly listed scientific awards in the provided text.

Lorenzo Tentarelli has served as a course lecturer in the PhD program in Pure and Applied Mathematics at Politecnico di Torino for multiple cycles (2020–2023) and has taught various undergraduate courses such as Mathematical Analysis I and II, and Mathematical Methods for Engineering. He has also been a member of several academic colleges including Biomedical, Chemical and Materials, and Mathematical Engineering. He led the research project EqSDNL (2025–2027) as principal investigator, indicating involvement in competitive grant funding.

He is affiliated with the research group "Analisi Non Lineare e Calcolo delle Variazioni" (Nonlinear Analysis and Calculus of Variations) within DISMA, which focuses on theoretical analysis of mathematical models with singularities. His work often involves collaborations with researchers like Riccardo Adami, Raffaele Carlone, and Simone Dovetta, suggesting an active research team in nonlinear PDEs on singular domains and quantum graphs.