
Status:
♦ Professor of Mathematics
♦ Senior Research Fellow at All Souls
+44 1865 615127
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Non-realizability of the Torelli group as area-preserving homeomorphisms
Journal of the London Mathematical Society
(28 June 2020)
Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
Journal d'Analyse Mathematique
issue 2
volume 140
page 669-694
(20 April 2020)
Construction of subsurfaces via good pants
Annals of Mathematics Studies
issue 205
volume 2020
page 233-243
(1 January 2020)
Heat flows on hyperbolic spaces
Journal of Differential Geometry
issue 3
volume 108
page 495-529
(2 March 2018)
Carathéodory's metrics on Teichmüller spaces and L-shaped pillowcases
Duke Mathematical Journal
issue 3
volume 167
page 497-535
(24 January 2018)
Harmonic maps and the Schoen conjecture
Journal of the American Mathematical Society
issue 3
volume 30
page 799-817
(1 March 2017)
Harmonic maps between 3-dimensional hyperbolic spaces
Inventiones Mathematicae
issue 3
volume 199
page 921-951
(1 January 2015)
The good pants homology and the Ehrenpreis conjecture
Annals of Mathematics
issue 1
volume 182
page 1-72
(1 January 2015)
Homology of curves and surfaces in closed hyperbolic 3-manifolds
Duke Mathematical Journal
issue 14
volume 164
page 2723-2808
(1 January 2015)
The surface subgroup and the Ehrenepreis conjectures
Proceeding of the International Congress of Mathematicans, ICM 2014
volume 2
page 897-909
(1 January 2014)
The Moduli Space of Riemann Surfaces of Large Genus
Geometric and Functional Analysis
issue 3
volume 23
page 867-887
(1 June 2013)
Criterion for Cannon's Conjecture
Geometric and Functional Analysis
issue 3
volume 23
page 1035-1061
(1 June 2013)
Decomposing diffeomorphisms of the sphere
Bulletin of the London Mathematical Society
issue 3
volume 44
page 599-609
(1 January 2012)
Immersing almost geodesic surfaces in a closed hyperbolic three manifold
Annals of Mathematics
issue 3
volume 175
page 1127-1190
(1 January 2012)
Quasiconformal homogeneity of genus zero surfaces
Journal d'Analyse Mathematique
issue 1
volume 113
page 173-195
(1 January 2011)
Topological entropy and diffeomorphisms of surfaces with wandering domains
Annales Academiae Scientiarum Fennicae Mathematica
issue 1
volume 35
page 503-513
(20 October 2010)
The Teichmüller distance between finite index subgroups of PSL
Geometriae Dedicata
issue 1
volume 136
page 145-165
(1 October 2008)
Realization of the mapping class group by homeomorphisms
Inventiones Mathematicae
issue 3
volume 168
page 523-566
(1 June 2007)
Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk
Geometry and Topology
volume 11
page 517-595
(16 March 2007)