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
- Hermitian null loci
[arXiv] - Kaehler--Einstein metrics on quasi-projective manifolds (w. Duc-Viet Vu)
[arXiv] - Singularities of the Chern-Ricci flow
[arXiv] - Continuity of Monge-Ampère potentials with prescribed singularities
[arXiv] [DOI] J. Geom. Anal. 33, 318 (2023). - Pluripotential Chern-Ricci Flows
[arXiv] to appear in Indiana Univ. math. J. - Continuity of Monge-Ampere Potentials in Big Cohomology Classes
[arXiv] [DOI] Int. Math. Res. Not. (IMRN), Volume 2022, Issue 14, July 2022, Pages 11180–11201. - Pluripotential Monge-Ampere Flows in big cohomology classes
[arXiv] [DOI] J. Funct. Anal. (JFA), Volume 282, Issue 6, 15 March 2022, 109373.
Talks
- 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