Prof. Andrea Mondino

Status

Academic Faculty

Contact form

+44 1865 615118

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 books

Nonlinear diffusion equations and curvature conditions in metric measure
spaces

Ambrosio, L Mondino, A Savaré, G volume 262 (18 Dec 2019) http://arxiv.org/abs/1509.07273v2

Recent publications

Unified synthetic Ricci curvature lower bounds for Riemannian and
sub-Riemannian structures

Barilari, D Mondino, A Rizzi, L (14 Nov 2022) http://arxiv.org/abs/2211.07762v1

Moduli spaces of compact RCD(0,N)-structures

Mondino, A Navarro, D Mathematische Annalen (30 Oct 2022)

The metric measure boundary of spaces with Ricci curvature bounded below

Bruè, E Mondino, A Semola, D (21 May 2022) http://arxiv.org/abs/2205.10609v1

A review of Lorentzian synthetic theory of timelike Ricci curvature
bounds

Cavalletti, F Mondino, A General Relativity and Gravitation (28 Apr 2022)

Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic
maps from $\mathrm{RCD}(K,N)$ spaces to $\mathrm{CAT}(0)$ spaces

Mondino, A Semola, D (03 Feb 2022) http://arxiv.org/abs/2202.01590v1

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

- Communications in Mathematical Analysis and Applications

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.

Highlighted publications

Quantitative isoperimetry à la Levy-Gromov

Cavalletti, F Maggi, F Mondino, A Communications on Pure and Applied Mathematics volume 72 issue 8 1631-1677 (13 Aug 2019) http://arxiv.org/abs/1707.04326v3

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

Cavalletti, F Mondino, A Inventiones Mathematicae volume 208 issue 3 803-849 (01 Jun 2017)

Willmore spheres in compact Riemannian manifolds

Mondino, A Riviere, T ADVANCES IN MATHEMATICS volume 232 issue 1 608-676 (15 Jan 2013) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000311268300021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

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

Mondino, A Naber, A Journal of the European Math. Soc. volume 21 1809-1854 http://arxiv.org/abs/1405.2222v3

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.