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Office: Hill center 526
Phone:
732-445-3099
Email: jiansong at math rutgers edu
Teaching
Spring
2008 - Methods of Applied Mathematics (642 : 528)
Research
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. The Kahler-Ricci
flow with positive bisectional curvature, with D.H. Phong, J. Sturm and B.
Weinkove,
submitted
2. The
Kahler-Ricci flow and the $\bar\partial$ operator on vector fields, with
D.H. Phong, J. Sturm and B. Weinkove,
submitted
3. Constructions
of Kahler-Einstein metrics with negative scalar curvature , with B.
Weinkove,
submitted
4. Bergman
metrics and geodesics in the space of Kahler metrics on toric varieties,
with S. Zelditch,
submitted
5. Convergence
of Bergman geodesics on CP^1, with S. Zelditch,
to appear in Ann. Inst. Fourier, Grenoble
6.
The Kahler-Ricci flow on Kahler surfaces,
to appear in Proceedings of Gokova Geometry-Topology Conference 2006
7. On
Donaldson's flow of surfaces in a hyperkahler four-manifold, with B.
Weinkove,
to appear in Mathematische Zeitschrift
8. The
Moser-Trudinger inequality on Kahler-Einstein manifolds, with D.H. Phong,
J. Sturm and B. Weinkove,
to appear in American Journal of Mathematics
9. The
Kahler-Ricci flow on surfaces of positive Kodaira dimension, with G. Tian,
to appear in Inventiones Mathematicae
10. Energy
functionals and canonical Kahler metrics, with B. Weinkove,
to appear in Duke Mathematical Journal
11. 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 Mathematic
12. The
Szego kernel on an orbifold circle bundle,
thesis at Columbia University
13. The
α-invariant on toric Fano manifolds,
American Journal of Mathematics 127 (2005), no. 6, 1247--1259
14. The
α-invariant on certain surfaces with symmetry groups,
Transactions of American Mathematical Society, 357 (2005), no. 1,
45--57