Aldo Pratelli

Aldo Pratelli is a Full Professor at the University of Pisa, affiliated with the Department of Mathematics. His research focuses on Calculus of Variations, Geometric Measure Theory, and Optimal Transport, with applications to isoperimetric problems, functional inequalities, and non-local energy minimization. He has contributed to foundational work on the quantitative isoperimetric inequality, Steiner properties of clusters, and regularity theory in geometric analysis.

Pratelli has taught courses in Mathematical Analysis, Advanced Analysis, and Calculus of Variations at both undergraduate and graduate levels. His teaching spans topics such as BV functions, Fourier analysis, and functional spaces, with a focus on rigorous theoretical foundations. Recent courses include 'Analisi Matematica 2' for Mathematics students and 'Calcolo delle Variazioni B' for master's students.

His research output includes over 77 publications, many addressing variational problems, geometric inequalities, and optimal transport. Notable contributions include studies on Cheeger constants, minimal clusters in Riemannian manifolds, and quantitative stability estimates for isoperimetric inequalities. He has participated in numerous international conferences and organized events on calculus of variations and geometric measure theory.

Pratelli's work bridges pure and applied mathematics, with theoretical results often applied to problems in physics and engineering. His current interests include non-local interaction energies and the approximation of BV homeomorphisms by diffeomorphisms.