<b><font size = +1> Publications and preprints</font></b>

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