Publications
Curvature currents and Chern forms of singular Hermitian metrics on holomorphic vector bundles, J. Geom. Anal. 30 (2020), 910--935. [journal] [arXiv]
L^2 estimates and vanishing theorems for holomorphic vector bundles equipped with singular Hermitian metrics, Michigan Math. J. 69 (2020), 79--96. [journal] [arXiv]
(with Genki Hosono) A converse of Hörmander's L^2-estimate and new positivity notions for vector bundles, Sci. China Math. 64 (2021), 1745--1756. [journal] [arXiv]
From Hörmander's L^2-estimates to partial positivity, Comptes Rendus Mathématique 359 (2021), no. 2, 169--179. [journal] [arXiv]
Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type, Algebr. Geom. 9 (1) (2022) 69--92. [journal] [arXiv]
(with Genki Hosono) A remark on characterizations of Griffiths positivity through asymptotic conditions, accepted for publication in Int. J. Math. [journal] [arXiv]
Optimal L^2-extensions on tube domains and a simple proof of Prékopa's theorem, accepted for publication in J. Geom. Anal. [journal] [arXiv]
Singular Hermitian metrics with isolated singularities, Nagoya Math. J. 248 (2022), 980--989. [journal] [arXiv]
Pseudonorms on direct images of pluricanonical bundles, accepted for publication in J. Funct. Anal. [journal] [arXiv]
A note on characterizing pluriharmonic functions via the Ohsawa--Takegoshi extension theorem, J. Math. Sci. Univ. Tokyo 30 (2023), no. 3, 365--369. [journal] [arXiv]
$L^2$-extension indices, sharper estimates and curvature positivity, accepted for publication in Annales de l'Institut Fourier. [journal] [arXiv]
Preprints
(with Shin-ichi Matsumura) Nakano positivity of singular Hermitian metrics: Approximations and applications, arXiv:2402.06883.
(with Shin-ichi Matsumura and Yuta Watanabe) Singular Nakano positivity of direct image sheaves of adjoint bundles, arXiv:2407.11412.
Articles in Japanese
液滴の分裂にまつわる数理, 数理科学実践研究レター(2020), LMSR 2020-9.