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

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

Rigidity theorems for best Sobolev inequalities
joint work with Robin Neumayer and Ignacio Tomasetti

Isoperimetric residues and a mesoscale flatness criterion
for hypersurfaces with bounded mean curvature

joint work with Michael Novack

Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
joint work with Daniel Restrepo