معرفی
Filippo Cagnetti is an Associate Professor (Professore di II fascia) in the Department of Mathematical, Physical and Computer Sciences at the University of Parma, Italy. He regularly teaches foundational courses such as Calculus 2A and Mathematical Analysis A to first- and second-year students enrolled in Mathematics, Geological Sciences (Earth Sciences), and Management Engineering degree programmes, spanning academic years from 2023/2024 through 2025/2026.
His research lies at the intersection of calculus of variations, partial differential equations, and geometric measure theory. A recurrent theme is the rigorous derivation of effective models for materials with microstructures via deterministic and stochastic homogenisation, particularly for free-discontinuity problems that describe brittle fracture. Parallel efforts focus on symmetrisation inequalities (Pólya–Szegö, Steiner, Schwarz, Gaussian) and their rigidity properties: under which geometric or analytic conditions equality in an inequality forces the domain to be symmetric or even trivial.
Over the past decade his publication portfolio shows a clear evolution from foundational results on viscosity solutions and large-time behaviour of Hamilton–Jacobi equations to highly specialised contributions on Korn- and Poincaré-Korn-type inequalities in spaces of special functions of bounded deformation (GSBD), and on optimal regularity of free boundaries in cohesive fracture models. The techniques employed combine Γ-convergence, fine properties of BV and GSBD spaces, measure-theoretic arguments, and stochastic two-scale convergence.
Contact:
- Email: filippo.cagnetti@unipr.it
