Research interests

Kähler geometry, hyper-Kähler and Calabi-Yau metrics, complex Monge-Ampère equations
geometric inequalities on Riemannian manifolds, Ricci curvature, Ricci flow

Publications

Asymptotically conical Calabi-Yau manifolds, I
arXiv:1205.6347, to appear in Duke Math. J., with Ronan Conlon
lecture in Paris, September 2012

New logarithmic Sobolev inequalities and an ε-regularity theorem for the Ricci flow
arXiv:1205.0380, to appear in CPAM, with Aaron Naber
see also Oberwolfach report 27-2012

Gravitational instantons from rational elliptic surfaces
J. Amer. Math. Soc. 25 (2012), 355–393
see also Oberwolfach report 33-2011 and parts of arXiv:1003.2646

Weighted Sobolev inequalities under lower Ricci curvature bounds
Proc. Amer. Math. Soc. 139 (2011), 2943–2955
see also parts of arXiv:1003.2646

Preprints

Asymptotically conical Calabi-Yau manifolds, II
arXiv:1301.5312, with Ronan Conlon

Asymptotically cylindrical Calabi-Yau manifolds
arXiv:1212.6929, with Mark Haskins and Johannes Nordström

Teaching

Spring 2013: Algebraic topology (undergraduate)
Summer 2012: Lectures on Ricci curvature at USTC Hefei
Spring 2012: Ricci curvature geometry (graduate)

Last update: 15 April 2013