Career
December 2018 - Present, Professor and Deputy Director of IMS, ShanghaiTech University
August 1997-Present, Associate Professor, University of Miami
August 1991- July 1997, Assistant Professor, University of Miami
Education
May 1991, Ph.D, University of Pennsylvania .
July 1985, M.S., Nanjing University, Nanjing, China July 1982, B.S., Jiangsu Normal University, Xuzhou, China
Research Interests
Differential Geometry, Mathematical Relativity
Selected Publications
1. Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set. Bull. Amer. Soc., 2 (1991), P. 371-377.
2. A splitting theorem for manifolds of almost nonnegative Ricci curvature. Ann. Global Analysis and Geometry. 11 (1993), P. 373-385.
3. On Gromov's large Riemannian manifolds, Geometriae Dedicata. 50 (1994), P. 37-45.
4. (With Tobias Colding and DaGang Yang) A gap theorem for ends of open Riemannian manifolds. Proc. Amer. Math. Soci. (123) 1995. P.247-250.
5. (with G. Galloway) Rigidity of tori in 3-manifolds of non-negative Scalar Curvature. Comm. Anal. Geom. 8(2000), p. 565-573.
6. (with G. Galloway) Boundaries of zero scalar curvature in the Ads/CFT correspondence. Adv. Theor. Math. Phys. 3 (2000), no. 6, 1769-1783.
7. (with G. Galloway) On the topology and area of black holes. Classical Quantum Gravity 18 (2001), no. 14, 2707-2718.
8. Volume Minimizing hypersurfaces in Manifolds of nonnegative scalar curvature. Advnced Studies in Pure Mathematics 34, 2002. Minimal surfaces, Geometric Analysis and Simplectic Geometric. P. 1-7.
9. (with Lars Anderson and Greg Galloway) Rigidity and positivity of mass for asymptotic hyperbolic manifolds. Ann. Henri Poncare, 9(2008) 1-33.
10. On rigidity of gradient shrinking Ricci soliton of nonnegative sectional curvature. Pacific Journal of Mathematics, 271(2015), 61-76
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Email: caiml@shanghaitech.edu.cn Office: S416, School of Creativity & Arts |