22. Contractibility results for certain spaces of Riemannian metrics on the disc (with Alessandro Carlotto), *Math. Res. Lett.* **28** (2021), 1033–1045.

21. Invariant metrics on negatively pinched complete Kähler manifolds (with Shing-Tung Yau), *J. Amer. Math. Soc*. **33** (2020), 103–133.

20. Complete Kähler-Einstein metrics under certain holomorphic covering and examples (with Shing-Tung Yau), *Ann. Inst. Fourier (Grenoble)* **68** (2018) no. 7, 2901–2921.

19. Geometric inequalities and rigidity theorems on equatorial spheres (with Lan-Hsuan Huang), *Comm. Anal. Geom*. **25** (2017) no.1, 185–207.

18. A remark on our paper “Negative holomorphic curvature and positive canonical bundle”(with Shing-Tung Yau), *Comm. Anal. Geom.*, **24** (2016) no. 4, 901–912.

17. Negative holomorphic curvature and positive canonical bundle (with Shing-Tung Yau),* Invent. Math.*, **204** (2016), 595–604.

16. On the boundary behavior of Kähler-Einstein metrics on log canonical pairs (with Henri Guenancia), *Math. Ann.*, **366** (2016), 101–120.

15. Form-type equations on Kähler manifolds of nonnegative orthogonal bisectional curvature (with Jixiang Fu and Zhizhang Wang), *Calc. Var. Partial Differential Equations* **52** (2015), 327–344.

14. The equality case of the Penrose inequality for asymptotic flat graphs (with Lan-Hsuan Huang), *Trans. Amer. Math. Soc.* **367** (2015), 31–47.

13. Hypersurfaces with nonnegative scalar curvature (with Lan-Hsuan Huang), *J. Differential Geom.* **95** (2013), 249–278.

12. An example of compact Kähler manifold with nonnegative quadratic bisectional curvature (with Qun Li and Fangyang Zheng), *Proc. Amer. Math. Soc.* **141** (2013), 2117–2126.

11. Semilinear equations, the gamma-k function, and generalized Gauduchon metrics (with Jixiang Fu and Zhizhang Wang), *J. Eur. Math. Soc.(JEMS)* **15** (2013), 659–680.

10. Picard number, holomorphic sectional curvature, and ampleness (with Pit-Mann Wong and Shing-Tung Yau), *Proc. Amer. Math. Soc*. **140** (2012), 621–626.

9. The existence of k-convex hypersurface with prescribed mean curvature (with Fei Han and Xi-Nan Ma), *Calc. Var. Partial Differential Equations* **42** (2011), 43–72.

8. Form-type Calabi-Yau equations (with Jixiang Fu and Zhizhang Wang), *Math. Res. Lett.* **17** (2010), 887–903.

7. Rigidity theorems on hemispheres in non-positive space forms (with Lan-Husan Huang), *Comm. Anal. Geom.* **18** (2010), 339–363.

6. A second order estimate for complex Hessian equations on a compact Kähler manifold (with Zuoliang Hou and Xi-Nan Ma), *Math. Res. Lett.* **17** (2010), 547–561.

5. A constant rank theorem for Hermitian k-convex solutions of complex Laplace equations (with Fei Han and Xi-Nan Ma), *Methods Appl. Anal.* **16** (2009), 263–290.

4. Good Kähler metric with prescribed singularities, *Asian J. Math.* **13** (2009), 131–150.

3. A degenerate Monge-Ampère equation and the boundary classes of Kähler cones (with Shing-Tung Yau and Fangyang Zheng), *Math. Res. Lett.* **16** (2009), 365–374.

2. Kähler-Einstein metrics of negative Ricci curvature on general quasi-projective manifolds, *Comm. Anal. Geom.* **16** (2008), 395–435.

1. Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds, *Comm. Anal. Geom.* **14** (2006), 795–845.

**Exposition:**

- Some negatively curved complex geometry (with Shing-Tung Yau), to appear in
*Proceedings of the 8th International Congress of Chinese Mathematicians (ICCM).*