Lorenzo Mascotto is an Associate Professor of Numerical Analysis at the University of Milano-Bicocca (lecturer 2021–2024). He earned a joint Ph.D. in 2017 (Milan and Oldenburg) and held a postdoctoral position at the University of Vienna (2017–2021). His research focuses on nonstandard PDE discretizations, particularly high-order and adaptive nonconforming methods, including virtual element, discontinuous Galerkin, and Crouzeix–Raviart methods. His work also covers functional inequalities on general polytopic meshes, including Sobolev–Poincaré, trace, and Nečas–Lions estimates on broken Sobolev spaces. He serves on the editorial board of Calcolo and co-organizes the 2027 Hausdorff Trimester Program « Nonstandard Discretizations of Partial Differential Equations: from Theory to Applications » in Bonn.
He will give a talk on 21st September 2026 with title « Equivalences and geometric bounds for W¹,ᵖ inf-sup constants ». In this talk exact identities are established, which relate the inf-sup constant β in the W¹,ᵖ Banach setting to the optimal constants in the Nečas–Lions and Babuška–Aziz inequalities, as well as the minimal eigenvalues of nonlinear Cosserat operators. Based on these equivalences, lower bounds for β are derived that are fully explicit with respect to geometric parameters for structured domain classes, such as star-shaped domains or domains admitting regular tessellations.