1. Convergence of K\"ahler-Einstein orbifolds; J. Geom. Anal. 14 (2004), no.1, 171--184.

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

4. Convergence of a Ricci flow towards a Ricci soliton; Comm. Anal. Geom. 14 (2006), no.2, 283--343.

5. Convergence of a K\"ahler-Ricci flow; Math. Res. Lett. 12 (2005), no.5-6, 623--632.

6. Linear and dynamical stability of Ricci flat metrics; Duke Math. J. 133 (2006), no. 1, 1--26.

7. The compactness result for the K\"ahler Ricci solitons; Adv. Math. 211 (2007), no.2, 794--818.

8. The rate of convergence of the mean curvature flow; Comm. Pure Appl. Math. 61 (2008), no. 4, 464--485.

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,< a href="http://www.math.upenn.edu/~natasas/Papers/yamabe_asymp1.pdf"> 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; a href="http://www.math.upenn.edu/~natasas/Papers/harnack_final1.pdf"> 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); arXiv:math/0703357; to appear in Math. Annalen.

15. The harmonic mean curvature flow of nonconvex surfaces in $\mathbb{R}^3$ (with Panagiota Daskalopoulos); arXiv:0806.1758; to appear in Calculus of Variations and Partial Differential Equations; PDF

16. On the evolution of convex hypersurfaces by the $Q_k$ flow; (with Cristina Caputo and Panagiota Daskalopoulos); arXiv:0904.0492; to appear in Communications in Partial Differential Equations; PDF

17. The Poisson equation on complete manifolds with positive spectrum and applications ; arXiv:0811.1200; to appear in Advances in Mathematics.

18. On the extension of the mean curvature flow (with Nam Q. Le); arXiv:0905.0936, to appear in Math. Z; PDF

19. Type II extinction profile of maximal solutions to the Ricci flow in $R^2$, (with Panagiota Daskalopoulos) (arXiv:math.AP/0606288; submitted to the Journal of Geometric Analysis), PDF

20. Classification of convex ancient solutions to the curve shortening flow in $\mathbb{R}^2$, (with P.Daskalopoulos and R. Hamilton); arXiv:0806.1757; submitted to the J. Diff. Geom, PDF

21. Classification of compact ancient solutions to the Ricci flow on surfaces; arXiv:0902.1158,\; submitted to the J. Diff.Geom, PDF

22. On gradient Ricci solitons (joint with Ovidiu Munteanu); arXiv:0910.1105, submitted to GAFA, PDF