I am interested in Complex and Algebraic Geometry.

Some topics: Kähler geometry, special metrics, pluripotential theory, K-stability, Okounkov bodies.

Preprints:

13) Convexity of the Mabuchi functional in big cohomology classes (with E. Di Nezza and S. Trapani), ArXiv preprint.

12) Singular cscK metrics on smoothable varieties (with C.-M. Pan and T.-D. Tô), ArXiv preprint. 

Publications:

11) Weighted extremal Kähler metrics on resolutions of singularities (with S. Boucksom and M. Jonsson), Communications on Pure and Applied Mathematics (CPAM), published online (to be published in a volume).

10) Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting (with E. Di Nezza and S. Trapani), Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Volume 20, 2024, 039, 19 pages.

9) Kähler-Einstein metrics with positive curvature near an isolated log terminal singularity (with V. Guedj, appendix by S. Boucksom), Compositio Mathematica, Volume 161, Issue 4, 714-755, 2025.

8) Kähler-Einstein metrics on families of Fano varieties (with C.-M. Pan), Journal für die reine und angewandte Mathematik (Crelle's Journal), volume 2025, no. 819, 2025, pp. 45-87.

7) A relative Yau-Tian-Donaldson conjecture and stability thresholds, Advances in Mathematics, Volume 441, 2024, 109537.

6) Quasi-monotone convergence of plurisubharmonic functions (with V. Guedj), Bulletin des Sciences Mathématiques, Volume 188, 2023, 103341.

5) Kähler-Einstein metrics with prescribed singularities on Fano manifolds, Journal für die reine und angewandte Mathematik (Crelle's Journal), 2022.793 (2022), 1-57.

4) Continuity method with movable singularities for classical complex Monge-Ampère equations, Indiana University Mathematics Journal, vol. 72 (2023), issue 4, 1577-1625.

3) The strong topology of ω-plurisubharmonic functions, Analysis & PDE, Vol. 16, No. 2 (2023), 367-405.

2) L^1 metric geometry of potentials with prescribed singularities on compact Kähler manifolds, The Journal of Geometric Analysis 32.2 (2022), 1-37. 

1) Multipoint Okounkov bodies, Annales de l'Institut Fourier, Volume 71 (2021) no. 6, pp. 2595-2646.

Other Files:

2) Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities, PhD Thesis.

1) Multipoint Okounkov bodies, Licentiate Thesis,