Kai-Wei Zhao

Kenna Visiting Assistant Professor

Education

B.S., National Taiwan University, 2012
M.S., National Taiwan University, 2014
Ph.D., University of California - Irvine, 2016

Research Groups

Differential Geometry, Partial Differential Equations

Research Area

Differential geometry, partial differential equations, general relativity, geometric measure theory, and geometric flows.

Bio

Research Interests

I am interested in geometric analysis and partial differential equations, especially in geometric problems related to general relativity. My research has centered around Jang's equation, which is a type of prescribed mean curvature equation; conformal deformation of scalar curvature; and their interplay with the topology or geometry of the ambient space.  Another interest of mine is mean curvature flow. My recent work in this direction has focused on the classification of ancient embedded curve-shortening flows with finite entropy.

Selected Publications

• Sharp blowup rate of Jang equation near closed strictly stable marginally trapped surfaces. In preparation.
• On blowup of regularized solutions to Jang equation and constant expansion surfaces. In preparation.