Ilaria Fragalà

Ilaria Fragalà is an Associate Professor at the Department of Mathematics, Politecnico di Milano. Her research focuses on calculus of variations, geometric analysis, and partial differential equations, with applications to optimization problems involving shapes, partitions, and nonlocal perimeters. She has contributed to fundamental results in optimal partitioning, eigenvalue optimization, and the honeycomb conjecture.

Education: PhD in Mathematics (2000) with a thesis on elliptic approximations in Finsler geometry, and earlier academic work on functional inequalities and measure theory.

Research interests include nonlocal perimeters, spectral geometry, free discontinuity problems, and the interplay between geometry and PDEs. Her recent work addresses optimal convex partitions, robustness of geometric structures, and symmetry properties in variational problems.

She has organized conferences such as the Vito Volterra Meeting in Calculus of Variations (2025) and participated in workshops like the 'Matter of Shapes' (2025). Her publications emphasize rigorous analytical methods and geometric insights.