Status:
Personal website:
+44 1865 615118
ORCID iD:
https://orcid.org/0000-0002-1932-7148
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Books:
Nonlinear diffusion equations and curvature conditions in metric measure
spaces
Memoirs of the American Mathematical Society
volume 262
(18 December 2019)
Full text available
Highlighted Publications:
Quantitative isoperimetry à la Levy-Gromov
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
Inventiones Mathematicae
issue 3
volume 208
page 803-849
(1 June 2017)
Willmore spheres in compact Riemannian manifolds
ADVANCES IN MATHEMATICS
issue 1
volume 232
page 608-676
(15 January 2013)
Full text available
Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature
Bounds
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
Journal de Mathematiques Pures et Appliquees
volume 137
page 238-274
(1 May 2020)
Full text available
Quantitative Obata's Theorem
arXiv
(15 October 2019)
Homotopy properties of horizontal loop spaces and applications to closed
sub-riemannian geodesics
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
International Mathematics Research Notices
(31 August 2018)
Full text available
On quotients of spaces with Ricci curvature bounded below
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.
Further details:
Editorial Boards:
- Calculus of Variations and Partial Differential Equations (co-Editor-in-Chief)
- The Royal Society of Edinburgh, Proceedings A : Mathematics
- Nonlinear Analysis: theory, methods and applications
- Journal of Dynamical and Control Systems
Teaching:
C4.6 Fixed point Theorems and Nonlinear Partial Differential Equations
Prizes, awards, and scholarships:
Whitehead Prize 2020, 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.