Francesco Maggi




Ars Inveniendi

Sets of Finite Perimeter &
Geometric Variational Problems

Optimal Mass Transport on Euclidean Spaces

There is grandeur in this view of life, with its several powers,
 having been originally breathed into a few forms or into one;
and that, whilst this planet has gone cycling on according
to the fixed law of gravity, from so simple a beginning
endless forms most beautiful and most wonderful
have been, and are being, evolved.

C. R. Darwin, The Origin of Species

Francesco Maggi

Slides of my talks
(at the bottom of linked page)

Three lectures on isoperimetry and Plateau's problem
course held at the school Geometric Analysis and PDE school
Lecture 1    Lecture 2    Lecture 3
(these are LARGE files, please allow time for the download!)

An Introduction to the work of
Fields Medalist 2018 Alessio Figalli
for the general public (video!)


Professor of Mathematics
University of Texas at Austin
Department of Mathematics

My research interests are in the
Calculus of Variations and Geometric Measure Theory.

UT Austin Research Training
Grant in Analysis & PDE

FRG Grant New Challenges
Geometric Measure Theory

Some recent papers

A hierarchy of Plateau problems and the approximation
of Plateau's laws via the Allen--Cahn equation

joint work with Michael Novack and Daniel Restrepo

 Plateau borders in soap films and Gauss' capillarity theory
joint work with Michael Novack and Daniel Restrepo

Rigidity and large volume residues in exterior isoperimetry for convex sets

joint work with Nicola Fusco, Massimiliano Morini and Michael Novack

Rigidity and compactness with constant mean curvature in warped product manifolds
joint work with Mario Santilli