- On a formula of Daskalopoulos, Hamilton and Sesum. arXiv:1209.1784
- On a paper of Daskalopoulos and Sesum. arXiv:1206.1667
- An elementary remark on a lower bound for the \mu-invariant of singularity models for Ricci flow. arXiv:1104.3276
**Research preprints** - (with Xiaodong Cao) Three-dimensional noncompact $\kappa$-solutions
that are Type I forward and backward. arXiv:1606.02698.
**Published**(with David Glickenstein and Feng Luo) Book review of "Ricci flow for shape analysis and surface registration: theories, algorithms and applications", by Wei Zeng and Xianfeng David Gu, Springer, 2013, xi+139 pp., in

*Bulletin of the American Mathematical Society*,**54**(2017), 141--150.(with Peng Lu) On kappa-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity.

*Mathematische Annalen*,**366**(2016), 1195--1206.(A48) (with Peng Lu) A bound for the order of the fundamental group of a complete noncompact Ricci shrinker.

*Proceedings of the American Mathematical Society*,**144**(2016), 2623-2625.(A47) (with Peng Lu) Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay.

*Comptes Rendus Mathematique Ser. I*,**353**(2015), 1007-1009.(A46) (with Peng Lu) Harmonic maps near the identity of $S^{n}$,

*Differential Geometry and its Applications*,**42**(2015), 31-36.(A45) (with Peng Lu) The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation.

*Proceedings of the American Mathematical Society*,**141**(2013), 2855-2857.(A44) (with Peng Lu and Bo Yang) Integral Ricci curvature bounds along geodesics for nonexpanding gradient Ricci shrinkers.

*Annals of Global Analysis and Geometry*,**42**(2012), 279-285.(A43) (with Peng Lu) Some elementary consequences of Perelman's canonical neighborhood theorem.

*Journal of Geometric Analysis*,**23**(2013), 933-937.(A42) (with Peng Lu and Bo Yang) Lower lower bounds for the scalar curvatures of noncompact gradient Ricci solitons.

*Comptes Rendus Mathematique Ser. I*,**349**(2011), 1265-1267.(A41) (with Peng Lu and Bo Yang) A necessary and sufficient condition for Ricci shrinkers to have positive AVR.

*Proceedings of the American Mathematical Society*,**140**(2012), 2179-2181.(A35) (with David Glickenstein and Peng Lu) Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature,

*Math. Zeit.*,**254**(2006) 1-28.(A34) (with Greg Anderson) A pointwise bound for solutions of the linearized Ricci flow equation on 3-manifolds,

*Calculus of Variations*,**23**(2005) 1-12.(A30) (with Peng Lu) On the asymptotic scalar curvature ratio of complete Type I-like ancient solutions to the Ricci flow on non-compact 3-manifolds,

*Communications in Analysis and Geometry*,**12**(2004) 59-91.(A31) (with Richard Hamilton) The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature,

*Turkish Journal of Mathematics*,**28**(2004) 1-10.(A29) (with Peng Lu) The maximum principle for systems of parabolic equations subject to an avoidance set,

*Pacific J. Math.*,**214**(2004) 201-222.(A27) (with David Glickenstein and Peng Lu) Metric transformations under collapsing of Riemannian manifolds,

*Mathematical Research Letters*,**10**(2003) 737-746.(A26) (with Feng Luo) Combinatorial Ricci Flows on Surfaces,

*Journal of Differential Geometry*,**63**(2003) 97-129.(A28) On an alternate proof of Hamilton's matrix Harnack inequality of Li-Yau type for the Ricci flow,

*Indiana University Mathematics Journal*,**52**(2003), 863-874.(A25) (with Dan Knopf and Peng Lu) Hamilton's injectivity radius estimate for sequences with almost nonnegative curvature operators,

*Communications in Analysis and Geometry***10**, 1151-1180 (2002).(A24) (with Dan Knopf) New Li-Yau-Hamilton Inequalities for the Ricci Flow via the Space-time Approach,

*Journal of Differential Geometry***60**, 1-54 (2002).(A21) (with Sun-Chin Chu) Spacetime formulation of Harnack inequalities for curvature flows of hypersurfaces,

*Journal of Geometric Analysis*,**11**, 219-231 (2001).(A23) A gradient estimate for the Ricci-Kaehler flow,

*Annals of Global Analysis and Geometry***19**, 321-325 (2001).(A22) (with Robert Gulliver) Aleksandrov reflection and geometric evolution of embedded hypersurfaces,

*Communications in Analysis and Geometry***9**, 261-280 (2001).(A20) (with Dong-Ho Tsai) Nonhomogeneous Gauss curvature flows,

*Indiana University Mathematics Journal***47**, 965-994 (1998).(A19) Interpolating between Li-Yau's and Hamilton's Harnack inequalities on a surface,

*Journal of Partial Differential Equations*(China)**11**, 137-140 (1998).(A18) (with Dong-Ho Tsai) Expansion of Convex Hypersurfaces by Non-homogeneous functions of curvature,

*Asian Journal of Mathematics***1**, 769-784 (1997).(A16) Geometric aspects of Aleksandrov reflection and gradient estimates for parabolic equations,

*Communications in Analysis and Geometry***5**, 389-409 (1997).(A17) (with Richard Hamilton) Constrained and linear Harnack inequalities for parabolic equations,

*Inventiones Mathematicae***129**, 213-238 (1997).(A13) (with Sun-Chin Chu) A geometric approach to the linear trace Harnack inequality for the Ricci flow,

*Mathematical Research Letters***3**, 549-568 (1996).(A12) (with Lii-Perng Liou and Dong-Ho Tsai) Expansion of embedded curves with turning angle greater than $-\pi$,

*Inventiones Mathematicae***123**, 415-429 (1996).(A14) (with Lii-Perng Liou and Dong-Ho Tsai) On the nonlinear parabolic equation $u_t=F(\Delta u+nu)$ on $S^n$,

*Communications in Analysis and Geometry***4**, 415-434 (1996).(A15) (with Dong-Ho Tsai) Geometric expansion of convex plane curves,

*Journal of Differential Geometry***44**, 312-339 (1996).(A11) (with Robert Gulliver) Aleksandrov reflection and nonlinear evolution equations, I: The n-sphere and n-ball,

*Calculus of Variations and PDE***4**, 249-264 (1996).(A10) (with Sun-Chin Chu) A geometric interpretation of Hamilton's Harnack inequality for the Ricci flow,

*Mathematical Research Letters***2**, 701-718 (1995).(A9) The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature,

*Communications on Pure and Applied Mathematics***45**, 1003-1014 (1992).(A7) (with Lang-Fang Wu) The Ricci flow on compact 2-orbifolds with curvature negative somewhere,

*Communications on Pure and Applied Mathematics***44**, 275-286 (1991).(A6) On the entropy estimate for the Ricci flow on compact 2-orbifolds,

*Journal of Differential Geometry***33**, 597-600 (1991).(A5) The Ricci flow on the 2-sphere,

*Journal of Differential Geometry***33**, 325-334 (1991).(A8) On Harnack's inequality and entropy for the Gaussian curvature flow,

*Communications on Pure and Applied Mathematics***44**, 469-483 (1991).(A4) (with Deane Yang) Rigidity of nonnegatively curved compact quaterionic-Kaehler manifolds,

*Journal of Differential Geometry***29**, 361-372 (1989).(A3) Deforming convex hypersurfaces by the the square root of the scalar curvature,

*Inventiones Mathematicae***87**, 63-82 (1987).(A2) (with Huai-Dong Cao) Compact Kaehler manifolds with nonnegative curvature operator,

*Inventiones Mathematicae***83**, 553-556 (1986).(A1) Deforming convex hypersurfaces by the nth root of the Gaussian curvature

*Journal of Differential Geometry*,**22**, 117-138 (1985).

Reviews of papers on Math Reviews (for subscribers of MathSciNet)

**Expository preprints **