Prof. Andrea Mondino | Mathematical Institute

Prof. Andrea Mondino

Status:

Academic Faculty

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Personal website:

https://www.sthildas.ox.ac.uk/content/dr-andrea-mondino

http://cvgmt.sns.it/person/965/

CV (146.41K)

ORCID iD:

https://orcid.org/0000-0002-1932-7148

Research groups:

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted Publications:

Quantitative isoperimetry à la Levy-Gromov

Quantitative isoperimetry à la Levy-Gromov
Cavalletti, F; Maggi, F; Mondino, A
Communications on Pure and Applied Mathematics issue 8 volume 72 page 1631-1677 (13 August 2019) Full text available

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
Cavalletti, F; Mondino, A
Inventiones Mathematicae issue 3 volume 208 page 803-849 (1 June 2017)

Willmore spheres in compact Riemannian manifolds

Willmore spheres in compact Riemannian manifolds
Mondino, A; Riviere, T
ADVANCES IN MATHEMATICS issue 1 volume 232 page 608-676 (15 January 2013) Full text available

Nonlinear diffusion equations and curvature conditions in metric measure spaces

Nonlinear diffusion equations and curvature conditions in metric measure spaces
Ambrosio, L; Mondino, A; Savaré, G
Memoirs of the American Mathematical Society Full text available

Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds

Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds
Mondino, A; Naber, A
Journal of the European Math. Soc. volume 21 page 1809-1854 Full text available

Recent Publications:

Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below

Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below
Mondino, A; Semola, D
Journal de Mathematiques Pures et Appliquees volume 137 page 238-274 (1 May 2020) Full text available

Quantitative Obata's Theorem

Quantitative Obata's Theorem
Cavalletti, F; Mondino, A; Semola, D
arXiv (15 October 2019)

Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics

Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics
Lerario, A; Mondino, A
Transactions of the American Mathematical Society (6 May 2019) Full text available

Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature

Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature
Ikoma, N; Malchiodi, A; Mondino, A
International Mathematics Research Notices (31 August 2018) Full text available

On quotients of spaces with Ricci curvature bounded below

On quotients of spaces with Ricci curvature bounded below
Galaz-García, F; Kell, M; Mondino, A; Sosa, G
Journal of Functional Analysis issue 6 volume 275 page 1368-1446 (15 June 2018)

Research interests:

Prof. Mondino works at the interface between Analysis and Geometry. More precisely he studies problems arising from (differential and metric) geometry by using analytic techniques such as optimal transport, functional analysis, partial differential equations, calculus of variations, gradient flows, nonlinear analysis, geometric measure theory. Although the emphasis of his work is primarily theoretical, the topics and the techniques have profound links with applications to natural sciences (mainly physics and biology) and economics.

Prizes, awards, and scholarships:

ERC Starting Grant 2018, Bartolozzi Prize 2017, Huneke Fellow at MSRI-Berkeley: January to May 2016, Gioacchino Iapichino Prize 2014, ETH Fellow: March 2013-March 2015, Oberwolfach Leibniz Graduate Student: 2012-2013, Benedetto Sciarra International Prize 2010, Marco Reni Prize 2009, Optime Prize 2007.

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