[maggi]

Full Professor, UT Austin

**Email:** *maggi AT math.utexas.edu*

**Home-page:** http://www.math.utexas.edu/users/maggi/

- A. Figalli - F. Maggi - C. Mooney (Accepted Paper:
*Camb. J. Math.*)

The sharp quantitative Euclidean concentration inequality (2018) - F. Maggi - A. Scardicchio - S. Stuvard (Submitted Paper)

Soap films with gravity and almost-minimal surfaces (2018) - G. Ciraolo - A. Figalli - F. Maggi - M. Novaga (
*J. Reine Angew. Math.*)

Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature (2018) - G. Ciraolo - A. Figalli - F. Maggi (Accepted Paper:
*Int. Math. Res. Not. IMRN*)

A quantitative analysis of metrics on $\mathbb R^n$ with almost constant positive scalar curvature, with applications to fast diffusion flows (2017) - M. Delgadino - F. Maggi - C. Mihaila - R. Neumayer (Preprint)

Bubbling with $L^2$-almost constant mean curvature and an Alexandrov-type theorem for crystals (2017) - M. Delgadino - F. Maggi (Preprint)

Alexandrov's theorem revisited (2017) - F. Maggi - E. Valdinoci (Preprint:
*Comm. PDE*)

Capillarity problems with nonlocal surface tension energies (2017) - B. Krummel - F. Maggi (Submitted Paper:
*Calc. Var. PDE*)

Isoperimetry with upper mean curvature bounds and sharp stability estimates (2017) - S. Dipierro - F. Maggi - E. Valdinoci (Preprint:
*J. Nonlinear Science*)

Asymptotic expansions of the contact angle in nonlocal capillarity problems (2017) - F. Maggi - R. Neumayer (Submitted Paper:
*Journal of Functional Analysis*)

A bridge between Sobolev and Escobar inequalities and beyond (2017) - M. Cicalese - G. P. Leonardi - F. Maggi (Submitted Paper:
*Interfaces and Free Boundaries*)

Sharp stability inequalities for planar double bubbles (2017) - F. Cavalletti - F. Maggi - A. Mondino (Accepted Paper:
*Comm. Pure and Applied Math.*)

Quantitative isoperimetry à la Levy-Gromov (2017) - C. De Lellis - F. Ghiraldin - F. Maggi (
*JEMS*)

A direct approach to Plateau's problem (2017) - E. Carlen - F. Maggi (Accepted Paper:
*Canadian J. Math.*)

Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry (2016) - M. Colombo - F. Maggi (Accepted Paper:
*Nonlinear Analysis*)

Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters (2016) - G. Ciraolo - F. Maggi (Accepted Paper:
*Comm. Pure Appl. Math.*)

On the shape of compact hypersurfaces with almost constant mean curvature (2016) - F. Cavalletti - F. Maggi - A. Mondino (
*Math. Zeit*)

Rigidity for critical points in the Levy-Gromov inequality (2016) - F. Maggi - C. Mihaila (Accepted paper:
*Calc. Var. PDE*)

On the shape of capillarity droplets in a container (2015) - M. Cicalese - G. P. Leonardi - F. Maggi (Accepted Paper:
*Indiana U Math Journal*)

Improved convergence theorems for bubble clusters. I. The planar case (2015) - G. P. Leonardi - F. Maggi (Accepted Paper:
*Indiana U Math Journal*)

Improved convergence theorems for bubble clusters. II. The three-dimensional case (2015) - M. Caroccia - F. Maggi (
*Journal de Mathématiques Pures et Appliquées*)

A sharp quantitative version of Hales' isoperimetric honeycomb theorem (2015) - A. Figalli - N. Fusco - F. Maggi - V. Millot - M. Morini (Accepted Paper:
*Comm. Math. Phys.*)

Isoperimetry and stability properties of balls with respect to nonlocal energies (2014) - G. De Philippis - F. Maggi (Accepted Paper:
*J. Reine Angew. Math.*)

Dimensional estimates for singular sets in geometric variational problems with free boundaries (2014) - G. De Philippis - F. Maggi (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law (2014) - F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper:
*Anal. PDE*)

Rigidity of equality cases in Steiner's perimeter inequality (2013) - F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper:
*J. Eur. Math. Soc.*)

Essential connectedness and the rigidity problem for Gaussian symmetrization (2013) - A. Figalli - F. Maggi (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

On the isoperimetric problem for radial log-convex densities (2012) - F. Maggi (Book extract)

Sets of Finite Perimeter and Geometric Variational Problems: an Introduction to Geometric Measure Theory (2012) - A. Figalli - F. Maggi - A. Pratelli (
*Ann. Inst. Henri Poincaré Probab. Stat.*)

A Geometric Approach to Correlation Inequalities in the Plane (2012) - A. Figalli - F. Maggi - A. Pratelli (
*Adv. Math.*)

Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation (2012) - F. Maggi - M. Ponsiglione - A. Pratelli (Trans. AMS)

Quantitative stability in the isodiametric inequality via the isoperimetric inequality (2011) - G. De Philippis - F. Maggi (Accepted Paper:
*J. Differential Geom.*)

Sharp stability inequalities for the Plateau problem (2011) - A. Figalli - F. Maggi (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

On the shape of liquid drops and crystals in the small mass regime (2010) - I. Fonseca - G. Leoni - F. Maggi - M. Morini (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Exact reconstruction of damaged color images using a total variation model (2010) - N. Fusco - F. Maggi - A. Pratelli (
*Journal of Functional Analysis*)

On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density (2010) - A. Figalli - F. Maggi - A. Pratelli (
*Invent. Math.*)

A mass transportation approach to quantitative isoperimetric inequalities (2010) - A. Figalli - F. Maggi - A. Pratelli (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

A refined Brunn-Minkowski inequality for convex sets (2009) - A. Figalli - F. Maggi - A. Pratelli (
*Proc. Amer. Math. Soc.*)

A note on Cheeger sets (2008) - A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Accepted Paper:
*American Journal of Mathematics*)

On the isoperimetric deficit in the Gauss space (2008) - F. Maggi - C. Villani (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Balls have the worst best Sobolev inequalities. Part II: Variants and extensions (2007) - F. Maggi (Lecture notes (accepted in revised form on Bull. Amer. Math. Soc.))

Some methods for studying stability in isoperimetric type problems (2007) - A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (
*Journal of the European Mathematical Society*)

The sharp Sobolev inequality in quantitative form (2007) - N. Fusco - F. Maggi - A. Pratelli (
*Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)*)

Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2007) - N. Fusco - F. Maggi - A. Pratelli (
*Ann. of Math. (2)*)

The sharp quantitative isoperimetric inequality (2006) - S. Conti - F. Maggi - S. Müller (
*SIAM J. Math. Anal.*)

Rigorous derivation of Föppl's theory for clamped elastic membranes leads to relaxation (2006) - N. Fusco - F. Maggi - A. Pratelli (
*J. Funct. Anal.*)

The sharp quantitative Sobolev inequality for functions of bounded variation (2006) - S. Conti - D. Faraco - F. Maggi (
*Arch. Ration. Mech. Anal.*)

A new approach to counterexamples to $L^1$ estimates: Korn's inequality, geometric rigidity and regularity for gradients of separately convex functions (2005) - F. Maggi - C. Villani (
*J. Geom. Anal.*)

Balls Have the Worst Best Sobolev Inequalities (2005) - S. Conti - D. Faraco - F. Maggi - S. Müller (
*Calc. Var. Partial Differential Equations*)

Rank-one convex functions on 2x2 symmetric matrices and laminates on rank-three lines (2005) - S. Conti - F. Maggi (Accepted Paper:
*Archive for Rational Mechanics and Analysis*)

Confining thin elastic sheets and folding paper (2005) - M. Gori - F. Maggi (
*Ann. Mat. Pura Appl. (4)*)

The common root of the geometric conditions in Serrin's lower semicontinuity theorem (2005) - F. Maggi (Ph.D. Thesis)

On Serrin's Lower Semicontinuity Problem (2004) - F. Maggi (
*J. Convex Anal.*)

On the relaxation on $BV$ of certain non coercive integral functionals (2003) - N. Fusco - M. Gori - F. Maggi (Accepted Paper:
*Nonlinear Differential Equations and Applications*)

A remark on Serrin's Theorem (2003) - M. Gori - F. Maggi - P. Marcellini (
*Differential and Integral Equations*)

On some sharp conditions for lower semicontinuity in $L^1$ (2003) - M. Gori - F. Maggi (
*ESAIM: COCV*)

On the Lower Semicontinuity of Supremal Functionals (2003)

*5 jun 2015:*Hypersurfaces with almost constant mean curvature*19 jun 2014:*Improved convergence theorem for perimeter minimizing clusters*19 dec 2007:*Una stima di stabilita` per il problema isoperimetrico relativo ad un perimetro anisotropo.

*14 jan 2019 - 17 jan 2019:*Alessio Figalli, Fields medallist 2018*18 sep 2017 - 20 sep 2017:*4th Conference on Recent Trends in Nonlinear Phenomena*16 jun 2014 - 20 jun 2014:*Isoperimetric Problems Between Analysis and Geometry*9 sep 2013 - 13 sep 2013:*ERC School "Geometric Functional Inequalities and Shape Optimization"

*4 jun 2018 - 15 jun 2018:*International School on Extrinsic Curvature Flows*4 jun 2018 - 15 jun 2018:*International School on Extrinsic Curvature Flows*18 may 2015 - 29 may 2015:*Calculus of Variations and Nonlinear Partial Differential Equations