Research
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
- Modulus of continuity of Monge--Ampère potentials in big cohomology classes (w. Hoang-Son Do, Hoang Hiep Pham)
[arXiv] - Singularities vs non-pluripolar Monge--Ampère masses (w. Hoang-Son Do, Hoang Hiep Pham)
[arXiv] - An iterative construction of complete Kaehler--Einstein metrics (w. Tat Dat Tô)
[arXiv] - Hermitian null loci
[arXiv] - Kaehler--Einstein metrics on quasi-projective manifolds (w. Duc-Viet Vu)
[arXiv] to appear in Math. Ann. - Singularities of the Chern-Ricci flow
[arXiv] to appear in Anal. PDE - Continuity of Monge-Ampère potentials with prescribed singularities
[arXiv] [DOI] J. Geom. Anal. 33, 318 (2023). - Pluripotential Chern-Ricci Flows
[arXiv] [DOI] Indiana Univ. Math. J. 73 No. 4 (2024), 1401–1441. - Continuity of Monge-Ampere Potentials in Big Cohomology Classes
[arXiv] [DOI] Int. Math. Res. Not. 14, 11180–11201 (2022). - Pluripotential Monge-Ampere Flows in big cohomology classes
[arXiv] [DOI] J. Funct. Anal. 282(6), 65 (2022).
Talks
- Jan. 2023, Pluripotential approach to the Minimal Model Program, Institute of Mathematics, VAST, Hanoi, Vietnam
- Dec. 2025, Pluripotential approach to the Minimal Model Program, Geometry Seminar, Hanoi University of Sciences, Hanoi
- Dec. 2024, Dégénérescence de métriques de Kähler–Einstein coniques dans des classes grosses , Séminaire Géométrie et Topologie, Brest
- Dec. 2024, Dégénérescence de métriques de Kähler–Einstein coniques dans des classes grosses , Séminaire d'Analyse et Géométrie, Jussieu
- Oct. 2024, Analytic Nakai-Moishezon criterion on compact complex varieties, Seminari di Geometria Differenziale e Analisi Complessa, Florence (Italy)
- Sep. 2024, Analytic Nakai-Moishezon criterion on compact complex varieties, Progressi Recenti in Geometria Reale e Complessa -XIII, 24-27 Sep, Levico Terme (Italy)
- Aug. 2024, Analytic Nakai-Moishezon criterion on compact complex varieties, Gothenburg Complex Geometry 2024, 26-30 Aug, Gothenburg (Sweden)
- Sep. 2023, Singularities of the Chern-Ricci flow, Workshop: Geometric flows on complex manifolds, 11-15 Sep, Cortona (Italy)
- June 2023, Singularities of the Chern-Ricci flow, International Centre for Theoretical Physics (ICTP), Trieste, Italy
- Feb. 2023, Kaehler-Einstein metrics on log canonical varieties of general type, Seminar, Cologne, Germany
- Jan. 2023, Parabolic approach to the (Analytic) Minimal Model Program, Institute of Mathematics, VAST, Hanoi, Vietnam
- Nov. 2022, Parabolic approach to the (Analytic) Minimal Model Program, International Centre for Theoretical Physics (ICTP), Trieste, Italy
- June 2022, Kaehler-Einstein metrics on log canonical varieties of general type, International Workshop, AIAS, Aarhus, Denmark
- June 2022, Pluripotential Chern-Ricci flows, MARGE Workshop, IMAG, Montpellier
- April 2022, Kaehler-Einstein metrics on log canonical varieties of general type, IGA seminar, University of Maryland, USA
- Nov. 2021, Pluripotential Chern-Ricci flows, Workshop, in Parma, Italy
- Oct. 2021, Le flot de Chern-Ricci pluripotentiel, Seminaire "Géométrie Complexe", IMT, Toulouse
- June 2021, Kaehler-Einstein metrics on log canonical varieties, PhD days: Analysis, LMO, Orsay
Miscellaneous
- Pluripotential Monge-Ampère flows, PhD thesis, supervised by Hoang-Chinh Lu and Vincent Guedj, defended on May 16, 2022