Publications and preprints
1. Convergence of K\"ahler-Einstein orbifolds; J. Geom. Anal. 14 (2004),
no.1, 171-184; PDF
2. Perelman's monotonicity formula
and applications; appeared in Turkish Journal of Mathematics, 28
(2004) 11-22.
3. Curvature tensor under the Ricci flow;
Amer. J. Math. 127 (2005), no.6, 1315-1324; PDF
4. Convergence of a Ricci flow towards
a Ricci soliton; Comm. Anal. Geom. 14 (2006), no.2, 283-343;
PDF
5. Convergence of a K\"ahler-Ricci flow; Math. Res. Lett. 12 (2005),
no.5-6, 623-632; PDF
6. Linear and dynamical stability of Ricci flat metrics;
Duke Math. J. 133 (2006), no. 1, 1-26; PDF
7. The compactness result for the K\"ahler Ricci solitons (with H.D.Cao);
Adv. Math. 211
(2007), no.2, 794-818;
PDF
8. The rate of convergence of the mean curvature
flow; Comm. Pure Appl. Math. 61 (2008), no. 4, 464-485;
PDF
9. Eternal solutions to the Ricci flow on $R^2$, (with
Panagiota Daskalopoulos);
Int. Math. Res. Not. 2006, Art. ID 83610,
PDF
10. On the extinction profile of solutions to
fast-diffusion; (with Panagiota Daskalopoulos);
J. Reine Angew. Math. 622 (2008), 95-119,
PDF
11. Multiplier Ideal Sheaves and the
K\"ahler-Ricci Flow; (with D.H.Phong and Jacob Sturm);
Comm. Anal. Geom. 15 (2007), no. 3, 613-632;
PDF
12. Properties of the solutions to the conjugate heat equation; (with
Richard Hamilton), Amer. J. Math. 131 (2009), no. 1, 153-169;
PDF
13. Bounding the scalar curvature and the diameter under the
K\"ahler Ricci flow (after Perelman) (with Gang
Tian), J. Inst. Math. Jussieu 7 (2008), no. 3, 575-587.
14. The Ricci flow on surfaces with cusps;
(with Lizhen Ji and Rafe Mazzeo);
Math. Annalen. 345 (2009), no.4, 819-834;
PDF
15. The harmonic mean curvature flow of nonconvex surfaces in
$\mathbb{R}^3$
(with Panagiota Daskalopoulos); Calculus of Variations and Partial
Differential Equations 37 (2010), no. 1-2, 187-217;
PDF
16. On the evolution of convex hypersurfaces by the $Q_k$ flow; (with
Cristina Caputo and Panagiota Daskalopoulos);
Communications in Partial Differential
Equations 35 (2010), no. 3, 415-442;
PDF
17. The Poisson equation on complete manifolds with positive spectrum and
applications ; Advances in Mathematics 223 (2010), no. 1, 198-219;
PDF
18. On the extension of the mean curvature flow (with Nam Q. Le);
arXiv:0905.0936,Math. Z. 267 (2011), no. 3, 415-442;
PDF
19. Type II extinction profile of maximal solutions to the Ricci
flow in $R^2$, (with Panagiota Daskalopoulos); Journal of Geometric
Analysis 20 (2010), no. 3, 565-591;
PDF
20. Classification of convex ancient solutions to the curve shortening
flow in
$\mathbb{R}^2$, (with P.Daskalopoulos and R. Hamilton);
J. Diff. Geom. 84 (2010), no. 3, 455-464;
PDF
21.Blow-up rate of the mean curvature during the mean curvature flow and a
gap theorem for self-shrinkers; (joint with Nam Q. Le); Comm. Anal. Geom.
19 (2011), no. 4, 633-659.
PDF
22. Classification of compact ancient solutions to the Ricci flow on
surfaces;;
J. Diff.Geom. 91 (2012), no. 2 171-214;
PDF
23. On gradient Ricci solitons (joint with Ovidiu Munteanu);
Journal of Geom. Anal. 23 (2013), no. 2 539-561;
PDF
24. Ricci flow in two dimensions; (joint with James Isenberg and Rafe
Mazzeo); Surveys in geometric analysis and relativity, 259-280, Adv. Lect.
Math. (ALM), 20, Int. Press, Somerville, MA, 2011; PDF
25. Remarks on the curvature behavior at the first singular time of the
Ricci
flow; (joint with Nam Q. Le); Pacific J. Math. 255 (2012), no. 1, 155-175;
PDF
26. Ricci flow on asymptotically conical surfaces with nontrivial
topology;
(joint with James Isenberg and Rafe Mazzeo); J. Reine Angew. Math; J.
Reine Angew. Math. 676 (2013), 227-248; PDF
27. The classification of locally conformally flat Yamabe solitons; (joint
with Panagiota Daskalopoulos); Adv. Math. 240 (2013), 346-369;
PDF
28. Ricci flow on three-dimensional manifolds with symmetry; (joint with
John Lott); Commentarii Mathematici; 89 (2014), no. 1, 1-32; PDF
29. Type II ancient compact solutions to the Yamabe flow; (joint with
Panagiota Daskalopoulos and Manuel del Pino); to appear in J. Reine Angew.
Math.; PDF
30. Blow up of the mean curvature at the first singular time of the mean
curvature flow; (joint with Longzhi Lin); arXiv:1302.1133; submitted;
PDF
31. Ricci flow on surfaces with conic singularities; (joint with Rafe
Mazzeo and Yanir Rubinstein); to appear in Calculus of variations and PDE;
PDF
32. Extinction profile of complete non-compact solutions to the Yamabe
flow; (joint with Panagiota Daskalopoulos and Joseph King);
arXiv:1306.0859, submitted;
PDF
33. Ricci flow neckpinches without rotational symmetry; (joint with James
Isenberg and Dan Knopf); arXiv:1312.2933, submitted; PDF
34. Asymptotic behavior of Type III mean curvature flow on noncompact
hypersur- faces; (joint with Liang Cheng); arXiv:1403.0235, submitted; PDF
35. Unique asymptotics of ancient convex mean curvature flow solutions;
(joint with Angenent and Daskalopoulos); arXiv:1503.01178, submitted; PDF