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