- Invariant metrics on negatively pinched complete Kähler manifolds (with Shing-Tung Yau),
*J. Amer. Math. Soc*.**33**(2020), 103–133. - Complete Kähler-Einstein metrics under certain holomorphic covering and examples (with Shing-Tung Yau),
*Ann. Inst. Fourier (Grenoble)***68**(2018) no. 7, 2901–2921. - Geometric inequalities and rigidity theorems on equatorial spheres (with Lan-Hsuan Huang),
*Comm. Anal. Geom*.**25**(2017) no.1, 185–207. - 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. - On the boundary behavior of Kähler-Einstein metrics on log canonical pairs (with Henri Guenacia),
*Math. Ann.*,**366**(2016), 101–120. - Negative holomorphic curvature and positive canonical bundle (with Shing-Tung Yau),
*Invent. Math.*,**204**(2016), 595–604. - 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. - The equality case of the Penrose inequality for asymptotic flat graphs (with Lan-Hsuan Huang),
*Trans. Amer. Math. Soc.***367**(2015), 31–47. - Hypersurfaces with nonnegative scalar curvature (with Lan-Hsuan Huang),
*J. Differential Geom.***95**(2013), 249–278. - 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. - 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. - Picard number, holomorphic sectional curvature, and ampleness (with Pit-Mann Wong and Shing-Tung Yau),
*Proc. Amer. Math. Soc*.**140**(2012), 621–626. - 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. - Form-type Calabi-Yau equations (with Jixiang Fu and Zhizhang Wang),
*Math. Res. Lett.***17**(2010), 887–903. - Rigidity theorems on hemispheres in non-positive space forms (with Lan-Husan Huang),
*Comm. Anal. Geom.***18**(2010), 339–363. - 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. - 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. - Good Kähler metric with prescribed singularities,
*Asian J. Math.***13**(2009), 131–150. - 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. - Kähler-Einstein metrics of negative Ricci curvature on general quasi-projective manifolds,
*Comm. Anal. Geom.***16**(2008), 395–435. - Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds,
*Comm. Anal. Geom.***14**(2006), 795–845.

**Preprints:**

- Contractibility results for certain spaces of Riemannian metrics on the disc (with Alessandro Carlotto), arXiv:1908.02475 [math.DG], to appear in
*Math. Res. Lett*.

**Survey:**

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