Status:
Personal website:
+44 1865 273550
ORCID iD:
https://orcid.org/0000-0002-0456-4538
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Books:
Lectures and Surveys on G2-Manifolds and Related Topics
ISBN-13: 9781071605776
(26 May 2020)
Highlighted Publications:
Consequences of strong stability of minimal submanifolds
International Mathematics Research Notices
issue 8
volume 2020
page 2352-2360
(April 2020)
Full text available
Remarks on the self-shrinking Clifford torus
Journal für die reine und angewandte Mathematik
issue 765
volume 2020
page 139-170
(16 July 2019)
Stability of torsion-free G_2 structures along the Laplacian flow
Journal of Differential Geometry
volume 111
page 495-526
(20 March 2019)
Full text available
SU(2)2-invariant G
Mathematische Annalen
issue 1-2
volume 371
page 961-1011
(5 January 2018)
The space of hyperkähler metrics on a 4-manifold with boundary
Forum of Mathematics, Sigma
volume 5
(1 April 2017)
Recent Publications:
The heterotic $\rm{G}_2$ system on contact Calabi--Yau $7$-manifolds
(17 January 2021)
Full text available
Deformation theory of G_2 conifolds
Communications in Analysis and Geometry
volume 28
page 1057-1210
(14 October 2020)
Full text available
From Lagrangian to totally real geometry: coupled flows and calibrations
Communications in Analysis and Geometry
issue 3
volume 28
page 607-675
(6 July 2020)
Full text available
Geometric Flows of G_2 Structures
Lectures and Surveys on G2-Manifolds and Related Topics
page 113-140
(27 May 2020)
Full text available
G
Fields Institute Communications
volume 84
page 287-317
(1 January 2020)
Research interests:
I work on differential geometry and geometric analysis, particularly geometry related with special holonomy and calibrated submanifolds, geometric flows including Lagrangian mean curvature flow and the G2-Laplacian flow, as well as instantons.