Updated on 2026/07/30
博士（数理科学） （ 2013.3 東京大学 ）
K-stability
Monge-Ampére equation
Bergman kernel
建部賢弘特別賞
2019 日本数学会
Quantization of the Kähler-Ricci flow and Optimal destabilizer for a Fano manifold. Invited Reviewed
Tomoyuki Hisamoto
Ann. Glob. Anal. Geom. 69 2026
Stability and coercivity for toric polarizations. Invited Reviewed
Tomoyuki Hisamoto
Kodai Math. J. 2026
Continuity method for the Mabuchi soliton on the extremal Fano manifold. Invited Reviewed
Tomoyuki Hisamoto and Satoshi Nakamura
Ann. Inst. Fourier. 2026
Geometric Flow, Multiplier Ideal Sheaves and Optimal Destabilizer for a Fano Manifold
Hisamoto, T
JOURNAL OF GEOMETRIC ANALYSIS Vol. 33 ( 8 ) 2023.8
Mabuchi's soliton metric and relative D-stability
Hisamoto, T
AMERICAN JOURNAL OF MATHEMATICS Vol. 145 ( 3 ) page： 765 - 806 2023.6
THE INVERSE MONGE-AMPERE FLOW AND APPLICATIONS TO KAHLER-EINSTEIN METRICS Open Access
Collins, TC; Hisamoto, T; Takahashi, R
JOURNAL OF DIFFERENTIAL GEOMETRY Vol. 120 ( 1 ) page： 51 - 95 2022.1
Uniform K-stability and asymptotics of energy functionals in Kahler geometry (vol 21, pg 2905, 2019) Open Access
Boucksom, S; Hisamoto, T; Jonsson, M
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY Vol. 24 ( 2 ) page： 735 - 736 2022
Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs. Reviewed
S. Boucksom, T. Hisamoto, and M. Jonsson
Ann. Inst. Fourier (Grenoble) Vol. 67 ( 2 ) page： 743-841 2017
On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold Reviewed
Tomoyuki Hisamoto
Journal für die reine und angewandte Mathematik 2014
On the volume of graed linear series and Monge-Ampère mass Reviewed
Tomoyuki Hisamoto
Mathematische Zeitschrift Vol. 275 page： 233-243 2013
Restricted Bergman kernel asymptotics Reviewed
Tomoyuki Hisamoto
Transactions of the American Mathematical Society Vol. 364 page： 3585-3607 2012
多変数複素解析と Kahler–Einstein 計量
久本智之
数学（日本数学会出版） 2026
Continuity method for the Mabuchi soliton on the extremal Fano manifold. Invited International conference
Tomoyuki Hisamoto
Korean Conference on Several Complex Variables
Optimal degeneration and some application to the Chern number inequality Invited International conference
Tomoyuki Hisamoto
Symposium on Complex Geometry
On the Miyaoka-Yau inequality Invited
Tomoyuki Hisamoto
Meeting on Professor Gauduchon’s 80th birthday
Mabuchi soliton and extremal Kahler metric Invited
Tomoyuki Hisamoto
Geometry seminar
Fano多様体の最適退化について Invited
久本智之
日本数学会特別講演
Quantization of the Kahler-Ricci flow and Optimal degeneration for a Fano manifold Invited International conference
Tomoyuki Hisamoto
Taipei Conference in Complex Goemetry
Optimal degeneration for a Fano manifold Invited
Asymptotic construction of the optimal degeneration for a Fano manifold Invited
Asymptotic construction of the optimal degeneration for a Fano manifold, Invited International conference
Tomoyuki Hisamoto
HAYAMA Symposium on Complex Analysis in Several Variables
Kahler-Ricci flow optimally destabilizes the Fano manifold Invited
Optimal lower bound of the Calabi-type functionals Invited International conference
Tomoyuki Hisamoto
The 8th Pacific Rim Conference in Mathematics
Greatest lower bound of the Calabi type functional Invited International conference
Tomoyuki Hisamoto
Symposium on Complex Geometry
The optimal destabilizer of a Fano manifold Invited
Tomoyuki Hisamoto
Seminaire de geometrie, CMLS
Optimal destabilizing degeneration and the geometric flow for a Fano manifold Invited
Tomoyuki Hisamoto
Seminaire de Geometrie complexe
Mabuchi soliton and relative D-stability for Fano manifolds Invited
Optimal destabilizer of a Fano manifold, Invited
Tomoyuki Hisamoto
KIAS seminar 2019
The reduced J-functional and application to the Yau-Tian-Donaldson type conjecture Invited International conference
Tomoyuki Hisamoto
Symposium on Complex Geometry 2018
On the gradient flow of the Ding energy functional Invited
Positivity Concepts on Holomorphic Line Bundles and Theories on Canonical Kahler Metrics 2018
Stability and coercivity for toric polarized manifolds Invited International conference
Trends in Modern Geometry
Alpha-invariant and modulus of uniform K-stability Invited International conference
Workshop on L^2 extension theorems
On uniform K-stability International conference
School and International Conference on Geometry and Quantization
On uniform K-stability International conference
Princeton-Tokyo workshop on Geometric Analysis
On a uniform version of K-stability
Tomoyuki Hisamoto
Séminaire de Géométrie Algébrique on Jussieu
Test configuration and projection to the orthogonal complement of holomorphic vector fields
Coercivity of K-energy and uniform K-stability International conference
Tomoyuki Hisamoto
The 20th Symposium on Complex Geometry
Reduced norm and characterization of product test configuration
ケーラー計量がなす空間の測地線とカラビ型汎関数の最小値について
久本智之
函数論シンポジウム
ケーラー計量が成す空間の測地線とカラビ型汎関数の最小値について
久本智之
幾何学シンポジウム
Norms of some geodesic rays on the space of Kähler metrics
Norms of a test configuration and K-stability International conference
Tomoyuki Hisamoto
Norms of a test configuration and lower bound estimate of the Calabi type functionals International conference
Tomoyuki Hisamoto
Graduate Workshop in Kähler Geomety
Norms of a test configuration and lower bound estimate of the Calabi type functionals
Tomoyuki Hisamoto
Seminar on Korean Institute for Advanced Study
On the limit of spectral measures associated to a test configuration International conference
Tomoyuki Hisamoto
The 18th International Symposium on COmplex Geometry
On the limit of spectral measures associated to a test configuration
Tomoyuki Hisamoto
On the gradient of Aubin-Mabuchi energy International conference
Tomoyuki Hisamoto
Nagoya-Tongji Joint Workshop on Bergman Kernel
Equilibrium measure of graded linear series and application to the problem of constant scalar curvature Kähler metric International conference
Tomoyuki Hisamoto
HAYAMA symposium on Complex Analysis in Several Variables XV
Asymptotic of Bergman kernels associated to ideal sheaves and its application
Analytic approah to study volumes of line bundles along subvarieties International conference
Tomoyuki Hisamoto
Complex and Riemannian Geometry, week 2: Extremal metrics
部分多様体と直線束の冪に対するBergman核の漸近挙動
久本智之
多変数関数論冬セミナー
代数多様体の標準計量および最適退化と、双有理幾何学への応用 研究課題
Grant number：26K06811 2026.4 - 2029.3
基盤研究(C) 基盤研究(C)
Authorship：Principal investigator
代数多様体の標準計量と安定性の幾何学
Grant number：21K03229 2021.4 - 2026.3
基盤研究(C)
Authorship：Principal investigator
リッチ曲率に関する空間の収束・崩壊とスペクトル収束の新展開
Grant number：23K20210 2020.4 - 2025.3
基盤研究(B)
Authorship：Coinvestigator(s)
Geometry of polarized varieties and their stability
Grant number：17K14185 2017.4 - 2022.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Hisamoto Tomoyuki
Authorship：Principal investigator
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
The famous Yau-Tian-Donaldson conjecture states that the existence of standard Kahler metric is equivalent to the stability condition which is originated from Mumford's Geometric Invariant Theory. If there does not exist such a standard metric, we want to study a variety degenerating it to the stable one. We gave a new formulation to this problem, introduced a new geometric flow, and showed the existence of the long-time solution. Using this solution we further gave an asymptotic construction of the optimal degeneration.
We also provided some ideas to prove the existence of the standard metric when the automorphism group is possibly not finite.
複素解析的手法による偏極多様体の安定性の研究
2015.9 - 2017.3
科学研究費補助金
Authorship：Principal investigator
数学演習9-10
2015
