Office Hours
MW 518 TWF 10:30-11:30
by appointment

Selected Publications

1. Hypersurfaces of Constant Curvature in Hyperbolic Space II, J. European Math. Soc., to appear.
2. Hypersurfaces of Constant Curvature in Hyperbolic Space I, J. Geometric Analysis, DOI 10.1007/s12220-009-9086-7.
3. Complete Conformal Metrics of Negative Ricci Curvature on Compact Manifolds with Boundary, Internat. Math. Research Notices 2008, rnn105, 25pp.
4. Conformal metrics with prescribed curvature function on manifolds with boundary, Amer. J. Math. 129 (2007), 915-942.
5. Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space (with Huai-Yu Jian and Richard Schoen), J. Reine Angew. Math. 595 (2006), 167-188.
6. Locally convex hypersurfaces of constant curvature with boundary (with Joel Spruck), Comm. Pure Appl. Math. 57 (2004), 1311-1331.
7. Existence of hypersurfaces of constant Gauss curvature with prescribed boundary (with J. Spruck), J. Differential Geometry 62 (2002), 259-287.
8. Closed hypersurfaces of prescribed curvatures (with Pengfei Guan), Annals of Math. 156 (2002), 655-673.
9. Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity (with J. Spruck), Amer. J. Math. 122 (2000), 1039-1060.
10. Boundary value problem on S^n for surfaces of constant Gauss curvature (with J. Spruck), Annals of Math. 138 (1993), 601-624.