I am interested in Complex Geometry.

More in detail, Kähler manifolds, special metrics, pluripotential theory, K-stability and Okounkov bodies.

Preprints:

13)  Weighted extremal Kähler metrics on resolutions of singularities (with S. Boucksom and M. Jonsson), ArXiv preprint.

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

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

Publications:

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,