Research interests
My main field of research is Hamilton's Ricci flow, although I have also written on other geometric evolution equations.
I have written papers on such topics as
Hamilton's entropy estimate on surfaces, Ricci flow on 2-dimensional
orbifolds (with Lang-Fang Wu),
the space-time approach to Hamilton's
matrix Harnack estimate (with Sun-Chin Chu),
linear trace Harnack estimate (with Richard Hamilton),
Li-Yau-Hamilton inequalities (with Dan Knopf),
collapsing sequences of solutions of Ricci flow (with David Glickenstein and Peng Lu),
time-dependent maximum principle for systems (with Peng Lu),
asymptotic scalar curvature ratio of Type I solutions (with Peng Lu),
linearized Ricci flow (with Greg Anderson),
Kaehler manifolds with nonnegative curvature
operator (with Huai-Dong Cao),
gradient estimates for the Kaehler-Ricci flow,
nonnegatively curved quaterionic-Kaehler manifolds (with Deane Yang),
cross curvature flow (with Richard Hamilton),
Yamabe flow on locally conformally flat manifolds,
Gauss curvature flow,
curvature flows of embedded curves (with Lii-Perng Liou and Dong-Ho Tsai),
Aleksandrov reflection for hypersurface flows (with Robert
Gulliver),
combinatorial curvature flows on surfaces (with Feng Luo).