Diego Pallara

Diego Pallara is a Full Professor at the Department of Mathematics and Physics of the University of Salento (Lecce). His research focuses on mathematical analysis, particularly partial differential equations, functional analysis, calculus of variations, and geometric measure theory. He has contributed extensively to studies on fractional calculus, nonlocal functionals, and subelliptic equations in stratified Lie groups. His work often intersects with stochastic processes and spectral theory, with a strong emphasis on analytical techniques such as semigroup theory and regularity estimates.

Key research areas include isoperimetric inequalities, BV functions in infinite-dimensional spaces, and the analysis of degenerate elliptic and parabolic operators. He has organized international conferences and seminars, such as the 19th Internet Seminar on Infinite Dimensional Analysis and CDV2016 (Lecce Conference on Calculus of Variations and PDEs). His research has been published in prestigious journals like Annali di Matematica Pura e Applicata and Journal of Functional Analysis.

Diego Pallara’s contributions span over 70 publications, with notable works on fractional Gaussian perimeters, stability of geometric inequalities, and mean value properties in sub-Riemannian geometries. His work frequently addresses the interplay between functional inequalities, geometric structures, and stochastic models.