Publications/Accepted papers

  1. Kahler-Einstein metrics and volume minimization (with Yuchen Liu), accepted by Adv. Math. , arXiv:1602.05094.

  2. Minimizing normalized volumes of valuations , accepted by Mathematische Zeitschrift, arXiv:1511.08164.

  3. K-semistability is equivariant volume minimization , accepted by Duke Math. Journal, arXiv:1512.07205.

  4. Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds (with Xiaowei Wang and Chenyang Xu ), accepted by Annales Scientifiques de l'ENS , arXiv:1502.06532.

  5. A Pohozaev identity and critical exponents of some complex Hessian equations , accepted by Journal of Partial Differential Equations, arXiv:1309.5623.

  6. Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds , to appear in J. Reine Angew. Math. arXiv:1302.6681

  7. 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.

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

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

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

  11. 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.

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

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