Francesco Maggi - Homepage

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

"Stability, regularity, and symmetry issues in geometric variational problems" (2013-2016)
NSF-DMS Grant 1265910

"Vectorial and geometric problems in the Calculus of Variations" (2014-2017)
NSF-DMS FRG Grant 1361122

  Professor of Mathematics
University of Texas at Austin/ Mathematics Department

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

In this homepage you can find my curriculum vitae,
the list of my publications, and some videos and slides.

For the academic year 2016/17 I will be on leave from UT Austin
for joining the International Center for Theoretical Physics in Trieste
, Italy.


Some recent papers

Rigidity for critical points in the LÚvy-Gromov inequality
joint work with Fabio Cavaletti and Andrea Mondino

Asymptotic expansions of the contact angle in nonlocal capillarity problems
joint work with Serena Dipierro and Enrico Valdinoci

A bridge between Sobolev and Escobar inequalities and beyond

joint work with Robin Neumayer

Capillarity problems with nonlocal surface tension energies,
joint work with Enrico Valdinoci

soperimetry with upper mean curvature bounds and sharp stability estimates
joint work with Brian Krummel

Existence and almost everywhere regularity of isoperimetric clusters
for fractional perimeters

joint work with Maria Colombo

A quantitative analysis of metrics in R^n with almost constant positive scalar curvature, with applications to Yamabe and fast diffusion flows
joint work with  Giulio Ciraolo and Alessio Figalli

The sharp quantitative Euclidean concentration inequality
joint work with Alessio Figalli and Connor Mooney

On the shape of capillarity droplets in a container

joint work with Cornelia Mihaila

Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry
joint work with Eric Carlen

On the shape of compact hypersurfaces with almost constant mean curvature

joint work with Giulio Ciraolo

Sets of Finite Perimeter and Geometric Variational Problems
An Introduction to Geometric Measure Theory

(ISBN 9781107021037)

Remarks, misprints and errata