# Gang Liu's Homepage

Gang Liu

Lunt Hall 229

Department of Mathematics

Northwestern University

Evanston, IL 60208

E-mail: gang.liu@northwestern.edu
Teaching:

Math 4403, introduction to cohomology
Research:

I am an assistant professor at Northwestern University.
My research interest is in differential geometry and complex geometry(Research Statement, 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, **Pacifi 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 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, **To appear in Math. Ann.**
**Gromov-Hausdorff limits 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, **To appear in CPAM.**
With Y. Yuan, **Diameter rigidity for compact Kahler manifolds with positive bisectional curvature, **To appear in Math. Z**
**On Yau’s uniformization conjecture, **Accepted by Cambridge Journal of Mathematics.**
**Compactification of certain K\”ahler manifolds with nonnegative Ricci curvature, **arxiv: 1706.06067.**
With Gabor Szekelyhidi, **Gromov-Hausdorff limits of Kahler manifolds with Ricci curvature bounded below, **arxiv:1804.08567.**
With Gabor Szekelyhidi, **Gromov-Hausdorff limits of Kahler manifolds with Ricci curvature bounded below, II, **preprint.**
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