Research

arXiv ORCID
I am interested in differential and complex geometry.
Some specific topics are: Complex Monge--Ampère Equations, Kaehler--Einstein metrics, Kaehler--Ricci Flow, Chern--Ricci Flow, Pluripotential Theory.

Preprints and publications

  1. Uniform estimates for complex Monge-Ampère equations: Hermitian manifolds (w. Lei Zhang, Bin Zhou)
    [arXiv]
  2. Uniqueness and Stability of Monge--Ampère Potentials in Big Cohomology Classes (w. Lei Zhang, Bin Zhou)
    [arXiv]
  3. Uniform estimates for complex Monge-Ampère equations: big cohomology classes (w. Lei Zhang, Bin Zhou)
    [arXiv]
  4. Regularity of solutions to Monge--Ampère equations on compact Hermitian manifolds
    [arXiv] [DOI] J. London Math. Soc., 114: e70746.
  5. Modulus of continuity of Monge--Ampère potentials in big cohomology classes (w. Hoang-Son Do, Hoang Hiep Pham)
    [arXiv] to appear in Indiana Univ. Math. J.
  6. Singularities vs non-pluripolar Monge--Ampère masses (w. Hoang-Son Do, Hoang Hiep Pham)
    [arXiv] [DOI] Math. Z. 311, 47 (2025).
  7. An iterative construction of complete Kaehler--Einstein metrics (w. Tat Dat Tô)
    [arXiv] [DOI] Publ. Res. Inst. Math. Sci. 62 (2026), no. 4, pp. 629–661
  8. Hermitian null loci
    [arXiv] [DOI] Trans. Amer. Math. Soc.
  9. Kaehler-Einstein metrics on quasi-projective manifolds (w. Duc-Viet Vu)
    [arXiv] [DOI] Math. Ann. 392, 4071–4103 (2025)
  10. Singularities of the Chern-Ricci flow
    [arXiv] [DOI] Anal. PDE 19-3 (2026), 449--483.
  11. Continuity of Monge-Ampère potentials with prescribed singularities
    [arXiv] [DOI] J. Geom. Anal. 33, 318 (2023).
  12. Pluripotential Chern-Ricci Flows
    [arXiv] [DOI] Indiana Univ. Math. J. 73 No. 4 (2024), 1401–1441.
  13. Continuity of Monge-Ampere Potentials in Big Cohomology Classes
    [arXiv] [DOI] Int. Math. Res. Not. 14, 11180–11201 (2022).
  14. Pluripotential Monge-Ampere Flows in big cohomology classes
    [arXiv] [DOI] J. Funct. Anal. 282(6), 65 (2022).

Talks

Miscellaneous