Takahiro Aoi - My portal

Profile Information

Affiliation: assistant professor, Wakayama National College of Technology

Contact information: aoiwakayama-nct.ac.jp
Researcher number: 40982997
J-GLOBAL ID: 202301013566957500
researchmap Member ID: R000051285

Research Interests

Research Areas

Natural sciences / Geometry / Differential geometry / Complex geometry

Research History

Apr, 2023 - Present

Wakayama National College of Technology
Apr, 2021 - Mar, 2023

Osaka Prefectural Abuno High School

Education

Apr, 2018 - Mar, 2021

Department of Mathematics, Graduate School of Science, Osaka University
Apr, 2016 - Mar, 2018

Department of Mathematics, Graduate School of Science, Osaka University
Apr, 2012 - Mar, 2016

School of Science, Osaka University

Papers

Skoda-Zeriahi type integrability and entropy compactness for some measure with L1-density

Takahiro Aoi

arXiv e-print : 2403.19553, to appear in Annales de l'Institut Fourier, 2025 Peer-reviewedLead author
Microscopic stability thresholds and constant scalar curvature Kähler metrics

Takahiro Aoi

Oct, 2024 Lead author
On uniform log K-stability for constant scalar curvature Kähler cone metrics

Takahiro Aoi, Yoshinori Hashimoto, Kai Zheng

arXiv e-print : 2110.02518, to appear in Communications in Analysis and Geometry, 2024 Peer-reviewed
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type

Takahiro Aoi

arXiv e-print : 2210.11862, 2022 Lead author
Complete scalar-flat Kähler metrics on affine algebraic manifolds

Takahiro Aoi

Mathematische Zeitschrift, 299(1-2) 299-355, Jan 26, 2021 Peer-reviewedLead author

Misc.

A conical approximation of constant scalar curvature Kähler metrics of Poincaré type

第6回数理新人セミナー報告集, Apr, 2023
cscK計量に付随する完備スカラー平坦Kähler計量の存在について

第16回数学総合若手研究集会：数学の交差点, Hokkaido University technical report series in Mathematics, 178 251-257, 2020

Presentations

TBA

Jul, 2025
Microscopic stability thresholds and constant scalar curvature Kähler metrics

May 23, 2025
Microscopic stability thresholds and constant scalar curvature Kähler metrics

The 8th workshop “Complex Geometry and Lie Groups” (Poster), Mar, 2025
Constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

Dec 17, 2024
Microscopic stability thresholds and constant scalar curvature Kähler metrics

Dec, 2024 Invited
Poincaré type Kähler metrics and compactness of relative entropy

The 30th Symposium on Complex Geometry, Nov 13, 2024
Skoda-Zeriahi type integrability and entropy compactness for Poincaré type Kähler metrics

Sep 5, 2024
専門家向け勉強会「ケーラー多様体上の標準計量とその周辺5」

Aug 28, 2024
Skoda-Zeriahi type integrability and entropy compactness for Poincaré type Kähler metrics

30th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Aug 22, 2024
Skoda-Zeriahi type integrability for some measure with $L^1$-density and its application to relative entropy

Young Mathematicians Workshop on Several Complex Variables 2024, Aug 8, 2024 Invited
Skoda-Zeriahi type integrability for some measure with $L^1$-density and some compactness of relative entropy for Poincaré type Kähler metrics

Jul 19, 2024
ある特異測度に関するSkoda-Zeriahi型の可積分性と相対エントロピーに関するコンパクト性について

東北大幾何セミナー, Apr 30, 2024 Invited
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and algebro-geometric stability

Dec 1, 2023 Invited
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

Sep, 2023
専門家向け勉強会「ケーラー多様体上の標準計量とその周辺4」

Aug, 2023 Invited
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

Jul, 2023 Invited
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

Jun, 2023 Invited
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

May, 2023
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

第6回数理新人セミナー, 九州大学, Feb, 2023
A conical approximation of constant scalar curvature Kähler metrics of Poincaré type and log K-semistability

Nov, 2022 Invited

Professional Memberships

日本数学会

Research Projects

非コンパクト複素多様体上の定スカラー曲率ケーラー計量の摂動法的構成について

科学研究費助成事業, 若手研究, 日本学術振興会, Apr, 2025 - Mar, 2029

青井顕宏
Poincare型定スカラー曲率Kahler計量と代数幾何学的安定性について

科学研究費助成事業, 研究活動スタート支援, 日本学術振興会, Aug, 2023 - Mar, 2025

青井顕宏