Research

arXiv ORCID

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

Preprints and publications

Pluripotential Chern-Ricci Flows
[arXiv] submitted
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

June 2021, Kaehler-Einstein metrics on log canonical varieties, PhD days: Analysis, LMO, Orsay
October 2021, Le flot de Chern-Ricci pluripotentiel, Seminaire "Géométrie Complexe", IMT, Toulouse
November 2021, Pluripotential Chern-Ricci flows, Workshop, in Parma, Italy
April 2022, Kaehler-Einstein metrics on log canonical varieties of general type, IGA seminar, University of Maryland, USA
June 2022, Pluripotential Chern-Ricci flows, MARGE Workshop, IMAG, Montpellier
June 2022, Kaehler-Einstein metrics on log canonical varieties of general type, International Workshop, AIAS, Aarhus, Denmark

Miscellaneous

Pluripotential Monge-Ampère flows, PhD thesis, supervised by Hoang-Chinh Lu and Vincent Guedj, defended on May 16, 2022