I am interested in Complex Geometry. More in details, Kähler manifolds, special metrics, pluripotential theory, K-stability and Okounkov bodies.

Preprints/Publications:

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

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.   [Old title: Entropy in the relative setting]

9) Kähler-Einstein metrics with positive curvature near an isolated log terminal singularity (with V. Guedj, appendix by S. Boucksom ), ArXiv preprint.

8) Kähler-Einstein metrics on families of Fano varieties (with C.-M. Pan), ArXiv preprint. 

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:

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