Dr Kai Zheng
Kai ZhengMarie Curie Research Fellow 
I am working on geometric analysis, the interface of various nonlinear partial differential equations and differential geometry, specially complex geometry. The analytic tools include calculus of variations, higher order geometric flows and complex MongeAmpère equations.
Here is my Curriculum Vitae.
My current research involves regularity/singularity phenomena of geometric PDEs, existence/uniqueness of critical metrics and convergence of geometric flows.
An almost list of my publications/preprints is available at arXiv and MathSciNet.
Coorganise:
Junior WarwickImperialCambridge geometric analysis seminar. Queen Mary University of London, January 58, 2016.
Teaching Responsibilities:
2016/17 TERM 1: MA4A2 Advanced PDEs
2015/16 TERM 1: MA4A2 Advanced PDEs
In Hanover, I taught the exercise courses including Global Analysis  Differential Geometry and Mathematics for Engineers I, II. The information is available here. [Hanover]
Current events:
Constant Scalar Curvature Metrics in Kähler and Sasaki Geometry. CIRM, France, January 1519, 2018.
Aarhus Differential Algebraic Geometry seminars. Centre for Quantum Geometry of Moduli Spaces, Denmark, November 78, 2017.
Geometry of Manifolds. Simons Center for Geometry and Physics, USA, October 2327, 2017.
Symplectic geometry  celebrating the work of Simon Donaldson. Cambridge, UK, August 1418, 2017.
Pacific Rim ComplexSymplectic Geometry Conference. IBS Center for Geometry and Physics, Pohang, South Korea, July 31–August 4, 2017.
Differentialgeometrie im Großen. Oberwolfach, Germany, July 28, 2017.
Preprints and Publications

Geodesics in the space of Kähler cone metrics, II. Uniqueness of constant scalar curvature Kähler cone metrics.
ArXiv:1709.09616. 71 pages. 
Construction of constant scalar curvature Kähler cone metrics (with J. Keller).
ArXiv:1703.06312. 46 pages. 
Expansion formula for complex Monge–Ampère equation along cone singularities (with H. Yin).
ArXiv:1609.03111. 29 pages. 
Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I: Reductivity (with L. Li).
ArXiv:1603.01743. 37 pages. 
Generalized Matsushima's theorem and KählerEinstein cone metrics (with L. Li).
ArXiv:1511.02410. 43 pages. 
Regularity scales and convergence of the Calabi flow (with H. Z. Li and B. Wang).
J. Geom. Anal. (2017) ArXiv:1501.01851. 52 pages. 
The geodesic problem for the Dirichlet metric and the Ebin metric on the space of Sasakian metrics (with S. Calamai and D. Petrecca).
New York J. Math. 22 (2016) 11111133. ArXiv:1405.1211. 
Geodesics in the space of Kähler cone metrics, I (with S. Calamai).
Amer. J. Math. 137 (2015), no. 5. 11491208. ArXiv:1205.0056. 
Iproperness of Mabuchi's Kenergy.
Calc. Var. Partial Differential Equations. 54 (2015), no. 3, 28072830. ArXiv:1410.1821. 
The Dirichlet and the weighted metrics for the space of Kähler metrics (with S. Calamai).
Math. Ann. 363 (2015), no. 3, 817856. ArXiv:1202.6610. 
Kähler metrics with cone singularities and uniqueness problem.
Current trends in analysis and its applications, 395408, Trends Math. Birkhäuser/Springer, Cham, 2015. [pdf] 
Kähler noncollapsing, eigenvalues and the Calabi flow (with H. Z. Li).
J. Funct. Anal. 267 (2014), no. 5, 15931636. ArXiv:1309.4304. 
The pseudoCalabi flow (with X. X. Chen).
J. Reine Angew. Math. 674 (2013), 195251. ArXiv:1004.2663. 
Stability of Calabi flow near an extremal metric (with H. N. Huang).
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11 (2012), no. 1, 167175. ArXiv:1007.4571. 
Stability of KählerRicci flow in the space of Kähler metrics.
Pacific J. Math. 251 (2011), no. 2, 469497. ArXiv:1004.2695.