papers
Publications/Preprints
$J$-equation on holomorphic vector bundles, J. Funct. Anal. 286 (2024), Issue 4, Article no. 110265
(with J. Chu and M.-C. Lee) A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation, J. Differential Geom. 126 (2024), no. 2, 583-632.
On the modified $J$-equation, 38 pages
(with T. C. Collins and T. Hisamoto) The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics, J. Differential Geom. 120 (2022), no. 1, 51–95
Ricci iteration for coupled Kähler-Einstein metrics, Int. Math. Res. Not. IMRN 2021 (2021), Issue 20, 15850–15872
Geometric quantization of coupled Kähler-Einstein metrics, Analysis & PDE 14 (2021), no. 6, 1817–1849
Collapsing of the line bundle mean curvature flow on Kähler surfaces, Calc. Var. Partial Differential Equations 60 (2021), no. 1, Art. 27
Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow, Internat. J. Math. 31 (2020), no. 14, Article no. 2050116.
(with K. Kunikawa) Convergence of mean curvature flow in hyper-Kähler manifolds, Pacific J. Math. 305 (2020), 667–691
The Kähler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations, Proc. Amer. Math. Soc. 148 (2020), 3527–3536
(with S. Saito) Stability of anti-canonically balanced metrics, Asian J. Math. 23 (2019), 1041–1058
Bergman iteration and $C^\infty$-convergence towards Kähler-Ricci flow, Osaka J. Math. 55 (2018), 713–729
The Hessian of quantized Ding functionals and its asymptotic behavior, Kodai Math. J. 41 (2018), 301–314
Smooth approximation of the modified conical Kähler-Ricci flow, 24 pages
On the modified Futaki invariant of complete intersections in projective spaces, Nagoya Math. J. 222 (2016), 186–209
Modified Kähler-Ricci flow on projective bundles, Math. Z. 281 (2015), 395–413
Asymptotic stability for Kähler-Ricci solitons, Math. Z. 281 (2015), 1021–1034
Ph.D. thesis
On the existence problem of Kähler-Ricci solitons (under the supervision of Prof. Ryoichi Kobayashi)