## 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*).