Research
Research
(with Y.A. Rubinstein, G. Tian) Stability thresholds for big classes, preprint, 2025, arxiv:2501.18150.
A counterexample to Tian’s Stabilization Conjecture, preprint, 2024, arxiv:2412.02683.
(with Y.A. Rubinstein, G. Tian) Asymptotics of discrete Okounkov bodies and thresholds, preprint, 2024, arxiv:2410.20694.
(with Y.A. Rubinstein) Asymptotics of quantized barycenters of lattice polytopes with applications to algebraic geometry, (with an appendix by Y. Liu), Math. Z. 309 (2025), 49.
(with Y.A. Rubinstein) Tian’s stabilization problem for toric Fanos, preprint, 2024, arxiv:2403.17262. To appear in: Geom. Topol.
The Cheltsov–Rubinstein problem for strongly asymptotically log del Pezzo surfaces, Contemp. Math. 810 (2025), 1-30.
(with Y.A. Rubinstein) Chebyshev potentials, Fubini–Study metrics, and geometry of the space of Kähler metrics, Bull. Lond. Math. Soc. 56(3) (2024), 881–906.
Some explicit computations of Chebyshev potentials (Convex and Complex: Perspectives on Positivity in Geometry, Cetraro, Italy, October 2022)