Prof. Andrea Mondino

Status

Academic Faculty

+44 1865 615118

Contact form

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

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 Rivière, T Advances in Mathematics volume 232 issue 1 608-676 (Jan 2013)

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

An optimal transport formulation of the Einstein equations of general
relativity

Mondino, A Suhr, S Journal of the European Mathematical Society

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.

Recent books

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

Barilari, D Mondino, A Rizzi, L (14 Nov 2022)

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with
Ricci curvature lower bounds

Mondino, A Semola, D (26 Jul 2021)

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures Barilari, D Mondino, A Rizzi, L

Recent publications

On the rectifiability of $\mathsf{CD}(K,N)$ and $\mathsf{MCP}(K,N)$ spaces with unique tangents

Magnabosco, M Mondino, A Rossi, T (02 May 2025)

Lorentzian Gromov-Hausdorff convergence and pre-compactness

Mondino, A Sämann, C (14 Apr 2025)

Gap phenomena under curvature restrictions

Honda, S Mondino, A Indagationes Mathematicae (08 Apr 2025)

Poincaré inequality for one forms on four manifolds with bounded Ricci curvature

Honda, S Mondino, A Archiv der Mathematik (20 Jan 2025)

Gap phenomena under curvature restrictions

Honda, S Mondino, A (07 Oct 2024)

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.