Gang Liu's Homepage
Lunt Hall 229
Department of Mathematics
Evanston, IL 60208
MATH H54, Spring 2016
I am an assistant professor at Northwestern University.
My research interest is in differential geometry and complex geometry(CV).
Below are my papers:
With S. J. Wu. Convex hull theorem for multiple connected domains in the plane with an estimate of the quasiconformal constant,Sci. China. Ser A 52(2009), no 5, 932-940.
Local volume comparison for K\"ahler manifolds, Pacific J. Math. 254 (2011), no. 2, 345-360
A short proof to the rigidity of volume entropy, Math. Res. Lett. 18(2011), no. 1, 151-153
K\"ahler manifolds with Ricci curvature lower bound, Asian Journal of Mathematics. 18(2014), 69-100.
3-manifolds with nonnegative Ricci curvature, Invent. Math (2013)193:367-375.
Compact K\"ahler manifolds with nonpositive bisectional curvature, Geom. Func. Anal. 24(2014), 1591-1607.Stable weighted minimal surfaces in manifolds with nonnegative Bakry-Emery tensor, Comm. Anal. Geom. 21(2013), 1061-1079.Three circle theorems on K\"ahler manifolds and applications, To appear in Duke Math Journal.
On finite generation of holomorphic functions on Riemann surfaces, arxiv: 1308.0711.
On the volume growth of Kahler manifolds with nonnegative bisectional curvature, to appear in JDG.
On the limit of Kahler manifolds with Ricci curvature lower bound, arxiv: 1409.4471.
Gromov-Hausdorff limit of Kahler manifolds and the finite generation conjecture, To appear in Ann. Math.
Gromov-Hausdorff limits of Kahler manifolds with bisectional curvature lower bound I, arxiv: 1505.07521.
Gromov-Hausdorff limits of Kahler manifolds with bisectional curvature lower bound II,