The Halmos-Ford Award (2016)
The inaugural class of Fellow of the American Mathematical Society (2013)
Plenary speaker of the AMS Honolulu Meeting (2012)
Principal investigator of an NSF Career Award (2004-2009)
Alfred P. Sloan Fellowship (2003-2005)
Zhong Jiaqing Math Prize (1990)
2006-present: Professor, Department of Mathematics, UC Irvine.
2004-2006: Associate Professor, Department of Mathematics, UC Irvine.
2000-2004: Assistant Professor, Department of Mathematics, UC Irvine.
1997-2000: Ritt Assistant Professor, Department of Mathematics, Columbia University.
I am interested in geometric analysis, complex algebraic geometry, and spectrum theory.
(with R. Seyyedali) Extremal metrics on ruled manifolds, Adv. Math, 258, 2014, 127-153
(with N. Charalambous) On the spectrum of Laplacian, Math. Ann., 359, 2014, 211-238
(with M. R. Douglas) Gauss-Bonnet-Chern theorem on moduli space, Math. Ann., 357, 2013, 469-511
(with Julie Rowlett) The fundamental gap of simplices, Comm. Math. Phys., 319, 2013, 111-145
(with P. Baldi) Complex-valued autoencoders, Neural Networks, 33, 2012, 136-147
Normal scalar curvature conjecture and its applications, J. Funct. Anal., 261, 2011, 1284-1308
(With D. Zhou) On the essential spectrum of complete non-compact manifolds, J. Funct. Anal. 260: 2011, 3283–3298
(with H. Fang and K-I Yoshikawa) Analytic Torsion for Calabi-Yau Threefolds, J. Diff. Geom, 80, 2008, 175-259
(with C. Lin) Existence of Bounded States for Layers Built over Hypersurfaces in Euclidean space, J. of Funct. Anal., 244(1), (2007), 1-25
(with X. Sun) On the Weil-Petersson volume of the moduli space of Calabi-Yau manifolds, Comm. Math. Phys, vol 261(2), (2006), pp 297-322;
(with H. Fang) Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli, J. Reine Angew. Math., vol 588 (2005), pp 49-69;
(with G. Tian) On the log term of the Szego kernel of unit circle bundle, Duke J. Math, vol 125(2), 2004, pp 351-387;
K energy and K stability on hypersurfaces, Comm. Anal. Geom, vol 12(3), 2004, pp 601--630
On the Hodge metric of the universal deformation space of Calabi-Yau threefolds. J. Geom. Anal., Vol.11(1) (2001), pp 103-118
On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch. Amer. J. Math., Vol.122(2) (2000), pp 235-273
A note on special Kahler manifolds. Math. Ann. Vol.313 (1999), pp 711-713
On the geometry of classifying spaces and horizontal slices. Amer. J. Math., Vol.121 (1999), pp 177-198
On the Futaki invariants of complete intersections. Duke J. Math. Vol.100(2) (1999), pp 359-372
NSF grants 1998-2001, 2002-2004, 2004-2009, 2009-2012, 2012-2015, 2015-2018
Member, American Mathematical Society
Member, Mathematical Association of America
Simons Center for Geometry and Physics 2011—2011