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
Highlighted Publications:
Remarks on the self-shrinking Clifford torus
Journal für die reine und angewandte Mathematik
(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
Consequences of strong stability of minimal submanifolds
International Mathematics Research Notices
(31 May 2018)
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:
Laplacian flow for closed G_2 structures: real analyticity
Communications in Analysis and Geometry
(7 May 2019)
Full text available
From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness
Bolletino dell Unione Matematica Italiana
(2 November 2018)
Instantons and special geometry
Springer INdAM Series
volume 23
page 241-267
(11 December 2017)
Complexified diffeomorphism groups, totally real submanifolds and
Kähler-Einstein geometry
Transactions of the American Mathematical Society
(5 October 2017)
Full text available
The geometry of our world
PHYSICS WORLD
issue 4
volume 30
page 30-33
(1 April 2017)
Full text available
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.