Chi Li 李驰

Teaching:

Research Interest: Complex Geometry

Research Papers

• Deformation of complex cones and neighborhoods of ample divisors, submitted, arXiv:1405.2433.


• A Pohozaev identity and critical exponents of some complex Hessian equations , submitted, arXiv:1309.5623.


• Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds arXiv:1302.6681, submitted.


• Numerical solutions of SO(3) invariant Kahler-Einstein metrics with cone singularities along a smooth quadric curve . To appear in Journal of Geometric Analysis , arxiv:1207.6592.


• Conical Kahler-Einstein metrics revisited Joint with Song Sun, Comm. Math. Phys. 331 (2014), no. 3, 927-973. arXiv:1207.5011.


• Special test configurations and K-stability of Fano varieties. Joint with Chenyang Xu, Ann. of Math. (2) 180 (2014), no.1, 197-232. arXiv:1111.5398.


• Remarks on logarithmic K-stability to appear in Communications in Contemporary Mathematics , arXiv:1104.0428.


• On the limit behavior of metrics in continuity method to Kahler-Einstein problem in toric Fano case. Compositio Mathematicae 148 (2012), no.6, 1985-2003. arXiv: 1012.5229.


• On rotationally symmetric Kahler-Ricci solitons. arXiv:1004.4049.


• Greatest lower bound on Ricci curvature for toric Fano manifolds. Advances in Mathematics 226(2011) 4921-4932. arXiv:0909.3443.


• Constant scalar curvature Kahler metric obtains the minimum of K-energy , International Mathematics Research Notice Vol.2011, No.9, pp. 2161-2175.

Notes:

• Defense slides .
• Appendix to Jeffres-Mazzeo-Rubinstein’s paper (detailed version, joint with Yanir A. Rubinstein)
• Notes on Sean Paul paper 2010
• Notes on Futaki invariant 2007
• Notes on Family Index Theorem (after Bismut) 2004
• Master Thesis (Chinese) 2007

Page lastly modified on 8/24/2014