Jian Song

J.J. Sylvester Assistant Professor

 

Office: 301 Krieger  Hall
Phone: 410-516-4977                     
Email:  jsong at math jhu edu

Teaching

Fall 2006

Fall 2004   Spring 2005   Fall 2005   Spring 2006


Research 

CV    [pdf]

Recent research    [pdf]

Education

B.S., Mathematics, Tsinghua University, Beijing, 1999

Ph.D., Mathematics, Columbia University, 2004

Grant

National Science Foundation Grant: DMS-0604805, July 1, 2006  - June 30, 2009

Publications and preprints

  1.  Canonical metrics on projective manifolds of nef canonical bundle, with G. Tian, in preparation
     
  2.  Convergence of Bergman geodesics to Monge-Ampere geodesics on toric varieties, with S. Zelditch, in preparation
     
  3.  On Donaldson's flow of surfaces in a hyperkahler four-manifold, with B. Weinkove, submitted  [pdf]
     
  4.  The Moser-Trudinger inequality on Kahler-Einstein manifolds, with D.H. Phong, J. Sturm and B. Weinkove, submitted, [pdf]
     
  5.  The Kahler-Ricci flow on surfaces of positive Kodaira dimension, with G. Tian, submitted  to Inventiones Mathematicae, [pdf]
     
  6.  Energy functionals and canonical Kahler metrics,  with B. Weinkove, to appear in Duke Mathematical Journal  [pdf]
     
  7.  The convergence and singularities of the J-flow with applications to the Mabuchi energy, with B. Weinkove, to appear
    in Communications on Pure and Applied Mathematics  [pdf]
     
  8.  The Szego kernel on an orbifold circle bundle, submitted  [pdf]
     
  9.  The α-invariant on toric Fano manifolds,  American Journal of Mathematics 127 (2005), no. 6, 1247--1259  [pdf]
     
  10. The α-invariant on certain surfaces with symmetry groups, Transactions of American Mathematical Society, 357 (2005), no. 1, 45--57  [pdf]