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
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.
maggi(at)math(dot)utexas(dot)edu

Some recent papers

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
Isoperimetry 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