Graduate Student Pamphlets:
Here is a folder
of informal notes on various topics in Complex Geometry: Pamphlet
Folder
Recent papers:
On Pointwise Gradient Estimates for the Complex Monge-Ampere
Equation
(with D.H. Phong)(2009)
Preprint: ps/dvi/pdf
Regularity of geodesic rays and Monge-Ampere equation (with D.H.
Phong)(2009)
To appear on Proc.
Amer.
Math. Soc. ps/dvi/pdf
The Dirichlet problem for degenerate complex Monge-Ampere equations
(with D.H. Phong) (2009)
To appear in Comm. in Analysis and
Geometry
ps/dvi/pdf
The modified Kaehler-Ricci flow and solitons (with D.H. Phong, J.
Song and B. Weinkove) (2008)
To appear in Commentarii Math.
Helvetici, ps/dvi/pdf
Lectures on
stability and constant scalar curvature (with D.H. Phong) (2008)
ps/dvi/pdf
On the regularity of geodesic rays
associated to test configurations (with D.H. Phong) (2007)
Preprint: ps/dvi/pdf
The Kaehler-Ricci flow and the
$\bar\partial$ operator on vector fields (with D.H.
Phong, J. Song and B. Weinkove)
J. of Differential Geometry (2009),
81,
no. 3, 631-647 pdf
The Kaehler-Ricci flow with
positive bisectional curvature (with
D.H.
Phong, J. Song and B. Weinkove)
Inv. Math. (2008), 173, no. 3, 651-665.
pdf
Deligne pairings and the
Knudsen-Mumford expansion (with D.H. Phong and J. Ross)
J. Differential
Geom.
78 (2008), no. 3, 475-496. pdf
The Moser-Trudinger inequality on
Kahler-Einstein manifolds (with D.H.
Phong, J. Song and B. Weinkove)
Amer. J. of Math.
(2008),
130, no. 4, 1067-1085.
pdf
Multiplier Ideal Sheaves and the Kaehler-Ricci Flow (with D.H.
Phong and N. Sesum)
Comm. in Analysis and
Geometry. vol. 15, no. 3 (2007) 613-632. pdf
Test Configurations for K-Stability
and Geodesic Rays (with D.H. Phong) (2006)
J. of Symplectic
Geometry,
vol. 5 (2007) 221-247. pdf
The Monge-Ampere operator and
geodesics in the space of Kaehler potentials (with D.H. Phong)
Invent. Math.
166 (2006), no. 1, 125-149 pdf
On stability and the convergence of
the Kaehler-Ricci flow (with D.H. Phong)
J. Differential
Geom.
72 (2006), no. 1, 149-168 pdf
On the Kaehler-Ricci flow on complex surfaces (with D. H.
Phong)
Pure Appl. Math.
Q.
1 (2005), no. 2, 405-413 pdf
Monge-Ampere Equations, Geodesics
and Geometric Invariant Theory (with D.H. Phong)
Journees
Equations aux derivees partielles, Exp. No. X, 15
pp., Ecole Polytech.,
Palaiseau (2005)
The Futaki invariant and the Mabuchi energy of a complete
intersection.
(with D. H. Phong)
Comm. Anal.
Geom.
12 (2004), no. 1-2, 321-343. pdf
On asymptotics for the Mabuchi energy functional. (with D. H.
Phong)
World Sci. Publ.,
River
Edge, NJ, 2004. ps/dvi/pdf
Scalar curvature, moment maps and the Deligne Pairing (with D.
H.
Phong)
Amer. J. Math.
126 (2004), no. 3, 693-712 pdf
Stability, energy functionals, and Kaehler-Einstein
metrics
(with D. H. Phong)
Comm. in Analysis
and
Geometry (2003) no. 11 (565-597) pdf
On the algebraic constructibility of varieties of integrable
rational
functions on $ C^n$. (with D. H. Phong)
Math. Ann. 323
(2002),
no. 3, 453-484. pdf
Units, polyhedra, and a conjecture of Satake. (2002) (with
Paul
Gunnells)ps/dvi/pdf
Multilinear level set operators, oscillatory integral
operators,
and Newton polyhedra. (with E.M. Stein and D. H.
Phong)
Math. Ann. 319
(2001)
no. 3, 573-596 pdf
On a conjecture of Demailly and Kollar. Kodaira's
issue.
(with D. H. Phong)
Asian J. Math.
4
(2000), no. 1, 221-226. pdf
Algebraic estimates, stability of local zeta functions, and
uniform
estimates for distribution functions (with D. H. Phong)
Ann. of Math. (2)
152
(2000), no. 1, 277-329. pdf
On the growth and stability of real-analytic functions.
(with
E.M. Stein and D. H. Phong)
Amer. J. Math. 121
(1999),
no. 3, 519--554. pdf