Research
Research
Regularization of m-subharmonic Functions And HÖlder Continuity. (with Jingrui Cheng) arXiv: 2208.14539, accepted at Math Research Letter.
Interior W^{2,p} Estimate for Small Perturbations to the Complex Monge-Ampere Equation. (with Jingrui Cheng), Calculus of Variations and Partial Differential Equations 62 (8), 231.
Interior H\" older Estimate for the Linearized complex Monge-Ampere equation. Calculus of Variations and Partial Differential Equations 63 (8), 202.
Viscosity Solution to Complex Hessian Equations on Compact Hermitian Manifolds. (with Jingrui Cheng) arXiv preprint arXiv:2406.00953.
The Uniqueness of Poincar\'e type Constant Scalar Curvature K\"ahler Metric. (with Kai Zheng) arXiv preprint arXiv:2410.14130.
A bird's eye view on geodesic problems in the space of Kahler potentials. (with Jingrui Cheng and Xiuxiong Chen) SCIENTIA SINICA Mathematica.
October 21, 2022, invited talk at Academy of Mathematics and Systems Science, CAS, "Regularization of m-subharmonic functions on Kahler manifolds."
April 15, 2024, invited talk at Graduate Student Topology and Geometry Conference 2024, Michigan State University, "Sections of Plurisubharmonic Functions and Their Application to the Complex Monge-Ampere Equation."
September 8, 2024, invited talk at Northeast Analysis Network 2024, Syracuse University, "Viscosity solution to Heassian equation."
October 10, 2024, Invited talk at Northwestern University, "Regularization of Gamma-subharmonic functions and its application."
(upcoming) November 17, 2024, Invited talk at University of Wisconsin-Madison, "The existence and uniqueness of viscosity solutions of the nonlinear complex Hessian equations on Hermitian manifolds."