Zhou Zhang

Senior Lecturer

HoopsHoops

Contact Information              

Email:                                                                                           
zhangou@maths.usyd.edu.au

Office:
Room 620, Carslaw Building
the School of Mathematics and Statistics
University of Sydney
NSW 2006

Office Phone:
+61-2-9351-5780

Fax:
+61-2-9351-4534

Mailing Address:
DR Zhou Zhang, Carslaw Building (F07)
the School of Mathematics and Statistics
University of Sydney
NSW 2006

Education

Appointments

Research

Fields of Interest: complex differential geometry, several complex variables, algebraic geometry.

Or more specifically: geometric evolution equation, complex Monge-Ampère equation, pluripotential theory, minimal algebraic manifold, algebraic manifold of general type .

Publications and Preprints:

  1. Fong, Frederick Tsz-Ho; Zhang, Zhou: The collapsing rate of the K\"ahler-Ricci flow with regular infinite time singularity. ArXiv:1202.3199 (math.DG) (math.CV).    [pdf]
  2. Zhang, Zhou: Ricci lower bound for K\"ahler-Ricci flow. ArXiv:1110.5954 (math.DG).    [pdf]
  3. Rochon, Frederic; Zhang, Zhou: Asymptotics of complete Kahler metrics of finite volume on quasiprojective manifolds. ArXiv:1106.0873 (math.DG). Submitted.    [pdf]
  4. Zhang, Zhou: General weak limit for Kahler-Ricci flow. ArXiv:1104.2961 (math.DG).    [pdf]
  5. Cao, Xiaodong; Zhang, Zhou: Differential Harnack estimates for parabolic equations. ArXiv:1001.5245 (math.DG). To appear in the proceedings of the conference "Complex and Differential Geometry".    [pdf]
  6. Lott, John; Zhang, Zhou: Ricci flow on quasiprojective manifolds. Duke Math. J. 156 (2011), no. 1, 87--123.    [pdf]
  7. Cao, Xiaodong; Wang, Biao; Zhang, Zhou: On locally conformally flat gradient shrinking Ricci solitons. Communications in Contemporary Mathematics, 13 (2011), no. 2, 269--282.    [pdf]
  8. Zhang, Zhou: Kähler-Ricci flow with degenerate initial class. ArXiv:0909.5446 (math.DG). Submitted.    [pdf]
  9. Zhang, Zhou: Scalar curvature behavior for finite time singulairty of Kähler-Ricci flow. Michigan Math. J. 59 (2010), no. 2, 419--433.    [pdf]
  10. Chen, Xiuxiong; Tian, Gang; Zhang, Zhou: On the weak Kähler-Ricci flow. Trans. Amer. Math. Soc. 363 (2011), no. 6, 2849--2863.    [pdf]
  11. Zhang, Zhou: Scalar curvature bound for Kähler-Ricci flows over minimal manifolds of general type. Int. Math. Res. Not. 2009; doi: 1093/imrn/rnp073.    [pdf]
  12. Zhang, Zhou: A modified Kähler-Ricci flow. Math. Ann. 345 (2009), no. 3, 559--579.    [pdf]
  13. Dinew, Sławomir; Zhang, Zhou: Stability of bounded solutions for degenerate complex Monge-Ampère equations. Adv. Math. 225 (2010), no. 1, 367--388.    [pdf]
  14. Tian, Gang; Zhang, Zhou On the Kähler-Ricci flow on projective manifolds of general type.  Chinese Ann. Math. Ser. B 27 (2006), no. 2, 179--192. (Reviewer: Julien Keller) 32Q20 (14E30 53C44).    [pdf]
  15. Zhang, Zhou: On degenerate Monge-Ampère equations over closed Kähler manifolds. Int. Math. Res. Not. 2006, Art. ID 63640, 18 pp. (Reviewer: Sławomir Kołodziej) 32W20 (32Q15).    [pdf]


Ph. D. Thesis: Degenerate Monge-Ampere equations over projective manifolds.   [pdf]

Lecture Notes: Series of talks on Kähler-Ricci flow and complex Monge-Ampère equation (updated on March 16, 2012).   [pdf]
   

Teaching

At University of Sydney

At University of Michigan (at Ann Arbor)

At Massachusetts Institute of Techonology