Huai-Dong Cao


Huai-Dong Cao

Huai-Dong Cao is A. Everett Pitcher Professor of Mathematics in Lehigh University. He collaborated with Xi-Ping Zhu of Zhongshan University in verifying Grigori Perelman's proof of the Poincaré conjecture. The Cao-Zhu team is one of three teams formed for this purpose. The other teams are the Tian-Morgan team (Gang Tian of Princeton University and John Morgan of Columbia University) and the Kleiner-Lott team (Bruce Kleiner of Yale University and John Lott of University of Michigan).

Professor Cao received his B.A. from Tsinghua University in 1981 and his Ph.D. from Princeton University in 1986 under the supervision of Shing-Tung Yau, a Fields Medalist and National Medal of Science recipient. Professor Cao's specialty is geometric analysis and he is a leading expert in the subject of Kähler Ricci flow.

Professor Cao is a former Associate Director, Institute for Pure and Applied Mathematics (IPAM) at UCLA. He has held visiting Professorships at MIT, Harvard University, Isaac Newton Institute, Max-Planck Institute, IHES, ETH Zurich, and University of Pisa. Professor Cao has received the John Simon Guggenheim Memorial Foundation Fellow (2004) and Alfred P. Sloan Foundation Research Fellowship (1991-1993). He is Managing Editor of Journal of Differential Geometry.

elected bibliography

* Huai-Dong Cao and Xi-Ping Zhu. " [http://www.ims.cuhk.edu.hk/~ajm/vol10/10_2.pdf A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow] ", vol. 10, no. 2, p.165-492, "Asian Journal of Mathematics", June 2006.
* Huai-Dong Cao and Xi-Ping Zhu. " [http://www.ims.cuhk.edu.hk/%7Eajm/vol10/erratum.html Erratum to “A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow] ”, Asian J. Math., Vol. 10, No. 2, 165-492, 2006". Asian Journal of Mathematics 10 (4): 663–664. MR2260801.
* Huai-Dong Cao. On Harnack's inequalities for the Kähler-Ricci flow, "Inventiones Mathematicae" 109 (1992), no. 2, 247--263.
* Huai-Dong Cao. Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds, vol. 81, no. 2, 359-372, "Inventiones Mathematicae", 1985.


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