Overview
My research focuses on partial differential equations arising from differential geometry and complex geometry. In particular, I work on the development of the auxiliary Monge-Ampère method for fully nonlinear PDEs on Kähler and Hermitian manifolds. I am also interested in Kähler-Ricci flow and Calabi-Yau geometry.
Research Focus
Differential Geometry and Complex Geometry
Publications
- B. Guo, D.H. Phong, F. Tong, and C. Wang, "On $L^\infty$ estimates for Monge-Amp\`ere and Hessian equations on nef classes'', Anal. PDE 17 (2024), no. 2, 749–756
- B. Guo, D.H. Phong, F. Tong, and C. Wang, "On the modulus of continuity of solutions to complex Monge-Amp\`ere equations'', arXiv:2112.02354
- N. Klemyatin, S. Liang, and C. Wang, "On uniform estimates for (n-1)-form fully nonlinear partial differential equations on compact Hermitian manifolds”, arXiv:2211.13798