Gang Liu's Homepage

Gang Liu
Lunt Hall 229
Department of Mathematics
Northwestern University
Evanston, IL 60208

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, arxiv: 1606.08958
  • 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.