- Regularity for the Monge-Ampere equation by doubling, Math. Z. to appear (with R. Shankar).

- Hessian estimates for the sigma-2 equation in dimension four, submitted (with R. Shankar).

- A monotonicity approach to Pogorelov's Hessian estimates for Monge-Ampere equation, Mathematics in Engineering, Math. Eng. 5 (2023), no. 2, Paper No. 037, 6 pp.

- Regularity for convex viscosity solutions of special Lagrangian Equation, Comm. Pure Appl. Math. 76 (2023), no. 12, 4075--4086 (with J.Y. Chen and R. Shankar).

- Singular solutions to Monge-Ampere equation, Anal. Theory Appl. 38 (2022), no. 2, 121--127 (with L. A. Caffarelli).

- Rigidity for general semiconvex entire solutions to the sigma-2 equation, Duke Math. J. 171 (2022), no. 15, 3201--3214 (with R. Shankar).

- Regularity for almost convex viscosity solutions of the sigma-2 equation, J. Math. Study 54 (2021), no. 2, 164--170 (with R. Shankar).

- Maximal hypersurfaces over exterior domains, Comm. Pure Appl. Math. 74 (2021), 589--614 (with G.-H. Hong).

- Hessian estimate for semiconvex solutions to the sigma-2 equation, Calc. Var. Partial Differential Equations 59 (2020), no. 1, Paper No. 30, 12 pp. (with R. Shankar).

- A Bernstein problem for special Lagrangian equations in exterior domains, Adv. Math. 361 (2020), 106927, 29 pp. (with D.-S. Li and Z.-S. Li).

- Special Lagrangian equations, Geometric Analysis, 521--536, Progress in Mathematics Series, 333, Birkhauser/Springer, Cham, 2020.

- Hessian estimates for convex solutions to quadratic Hessian equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, 36 (2019), no. 2, 451--454, (with M. McGonagle and C. Song).

- A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows, Proc. Amer. Math. Soc. 146 (2018), 3057--3061, (with D.-S. Li and Y.-F. Xu).

- Hamiltonian stationary cones with isotropic links, Pacific J. Math. 295 (2018), 317--327, (with J.-Y. Chen).

- Rigidity of complete entire self-shrinking solutions to Kahler-Ricci flow, Int. Math. Res. Not. IMRN 2015, no. 12, 3908--3916 (with G. Drugan and P. Lu).

- Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions, Amer. J. Math., 136 (2014), no.2, 481--499 (with D.-K. Wang).

- Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems, Amer. J. Math., 135 (2013), 1157--1177 (with D.-K. Wang).

- Lagrangian mean curvature flow for entire Lipschitz graphs II, Math. Ann., 357 (2013), 165--183 (with A. Chau and J.-Y. Chen).

- Rigidity of entire self-shrinking solutions to curvature flows, J. Reine Angew. Math., 664 (2012), 229--239. (with A. Chau and J.-Y. Chen).

- A priori estimates for the Lagrangian mean curvature flows, Int. Math. Res. Not., no. 19 (2011), 4376--4338 (with T. Nguyen).

- A Liouville problem for the Sigma-2 equations, Discrete Contin. Dyn. Syst., 28 (2010), 659--664 (with S.-Y. A. Chang).

- Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase, Amer. J. Math., 132 (2010), 751--770 (with M. Warren).

- Explicit gradient estimates for minimal Lagrangian surfaces of dimension two, Math. Z., 262 (2009), 867--879 (with M. Warren).

- A priori estimate for convex solutions to special Lagrangian equations and its application, Comm. Pure Appl. Math., 62 (2009), 583--595 (with J.-Y. Chen and M. Warren).

- Hessian estimates for the sigma-2 equation in dimension three, Comm. Pure Appl. Math., 62 (2009), 305--321 (with M. Warren).

- A Liouville type theorem for special Lagrangian Equations with constraints, Comm. Partial Differential Equations, 33 (2008), 922--932 (with M. Warren).

- Improving Pogorelov's isometric embedding counterexample, Calc. Var. Partial Differential Equations, 32 (2008), 319--323 (with N. Nadirashvili).

- Minimal cones with isotropic links, Int. Math. Res. Not. 2006, Art. ID 69284, 14 pp., (with J.Y. Chen).

- Resolving the singularity of minimal Hopf cones, J. Partial Differential Equations, 19 (2006), no.3, 218--231 (with W.-Y. Ding).

- Global solutions to special Lagrangian equations, Proc. Amer. Math. Soc., 134 (2006), 1355-1358.

- Homogeneous solutions to fully nonlinear elliptic equations, Proc. Amer. Math. Soc., 134 (2006), 1647--1649 (with N. Nadirashvili).

- Linearity of homogeneous order one solutions to elliptic equations in dimension three, Comm. Pure Appl. Math., 56 (2003), 425--432 (with Q. Han and N. Nadirashvili).

- A Bernstein problem for special Lagrangian equations, Invent. Math., 150 (2002), 117--125.

- Locally minimizing smooth harmonic maps from asymptotically flat manifolds into spheres, J. Partial Differential Equations, 15 (2002), no.4, 13--27.

- A priori estimates for solutions of fully nonlinear special Lagrangian equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 18 (2001), 261--270.

- A priori estimates for solutions of fully nonlinear equations with convex level set, Indiana Univ. Math. J., 49 (2000), 681--695 (with L. A. Caffarelli).

- Doubling properties for second order parabolic equations, Ann. of Math., 150 (1999), 313--327 (with M. V. Safonov).

- Behavior near the boundary of positive solutions of second order parabolic equations II, Trans. Amer. Math. Soc., 351 (1999), 4947--4961 (with E. B. Fabes and M. V. Safonov).