Takeuchi Yuya 竹内有哉

Researcher Number	60899087
Other IDs	https://orcid.org/0000-0002-7279-1177
Affiliation (Current)	2026: 筑波大学, 数理物質系, 助教
Affiliation (based on the past Project Information) *help	2021 – 2025: 筑波大学, 数理物質系, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related
Keywords	Principal Investigator CR多様体 / Heisenberg解析 / 埋め込み可能 / GJMS作用素 / CR Paneitz作用素 / はめ込み / CR Q-曲率 / Kohn-Rossiコホモロジー / 球面的CR多様体 / 繰り込み接続 … More / CR山辺の問題 / 漸近的複素双曲空間 / 漸近的双曲空間 / Graham-Wittenエネルギー / 共形多様体 / Q-prime曲率 / Q-曲率 Less

Research Projects
(2 results)
Research Products
(27 results)

Spectrum of CR invariant differential operatorsPrincipal Investigator
- Principal Investigator
  
  竹内有哉
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
Study on immersions into conformal (CR) manifoldsPrincipal Investigator
- Principal Investigator
  
  Takeuchi Yuya
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba

All 2025 2024 2023 2022 2021

All Journal Article Presentation

[Journal Article] The CR Yamabe constant and inequivalent CR structures2025
- Author(s)
  Sung Chanyoung、Takeuchi Yuya
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 335 Issue: 1 Pages: 163-181
- DOI
  10.2140/pjm.2025.335.163
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] Kohn?Rossi cohomology of spherical CR manifolds2024
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 65 Issue: 2
- DOI
  10.1007/s10455-024-09952-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] Formulae of some global CR invariants for Sasakian η-Einstein manifolds2024
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: 32 Issue: 3 Pages: 667-692
- DOI
  10.4310/cag.241015022326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] ℐ'-curvatures in higher dimensions and the Hirachi conjecture2023
- Author(s)
  CASE Jeffrey S.、TAKEUCHI Yuya
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 75 Issue: 1 Pages: 291-328
- DOI
  10.2969/jmsj/87718771
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] Analysis of the critical CR GJMS operator2023
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 145 Issue: 6 Pages: 1923-1940
- DOI
  10.1353/ajm.2023.a913298
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] Generalizations of the Q-prime curvature via renormalized characteristic forms2023
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  Advances in Mathematics
  
  Volume: 422 Pages: 109023-109023
- DOI
  10.1016/j.aim.2023.109023
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] Chern classes of spherical CR manifolds2022
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  
  Volume: 23 Pages: 1-13
- DOI
  10.2422/2036-2145.202010_006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Journal Article] CR Q-curvature and CR Pluriharmonic Functions2022
- Author(s)
  Takeuchi Yuya
- Journal Title
  
  The Journal of Geometric Analysis
  
  Volume: 32 Issue: 6
- DOI
  10.1007/s12220-022-00922-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] 球面的CR多様体のKohn-Rossiコホモロジー2024
- Author(s)
  竹内有哉
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Kohn-Rossi cohomology of spherical CR manifolds2024
- Author(s)
  竹内有哉
- Organizer
  複素解析幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR Paneitz 作用素と埋め込み可能性2024
- Author(s)
  竹内有哉
- Organizer
  葉層構造の幾何学とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Spectral analysis of the CR Paneitz operator2024
- Author(s)
  Yuya Takeuchi
- Organizer
  The Ninth Pacific Rim Conference in Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Spectral analysis of the CR Paneitz operator2024
- Author(s)
  Yuya Takeuchi
- Organizer
  第25回多変数関数論葉山シンポジウム
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Kohn-Rossi cohomology of spherical CR manifolds2024
- Author(s)
  竹内有哉
- Organizer
  大阪大学幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Spectral analysis of the CR Paneitz operator2024
- Author(s)
  Yuya Takeuchi
- Organizer
  Shenzhen International Workshop on Several Complex Variables and CR Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Spectral analysis of the CR Paneitz operator2024
- Author(s)
  Yuya Takeuchi
- Organizer
  Academia Sinica Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Spectral analysis of the CR Paneitz operator2024
- Author(s)
  Yuya Takeuchi
- Organizer
  Conformal and CR Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR Paneitz operator and embeddability2023
- Author(s)
  竹内有哉
- Organizer
  Complex analysis and elliptic PDE's
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] 球面的CR多様体のKohn-Rossiコホモロジー2023
- Author(s)
  竹内有哉
- Organizer
  筑波大学微分幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] I'-curvatures and the Hirachi conjecture2023
- Author(s)
  竹内有哉
- Organizer
  東京大学複素解析幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR山辺の問題と接触山辺不変量2022
- Author(s)
  竹内有哉
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] I'-curvatures and the Hirachi conjecture2022
- Author(s)
  竹内有哉
- Organizer
  Pacific Rim Complex and Symplectic Geometry Conference 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] I-prime曲率と平地予想2022
- Author(s)
  竹内有哉
- Organizer
  第65回函数論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR山辺の問題とCR Paneitz作用素2021
- Author(s)
  竹内有哉
- Organizer
  2021年度福岡大学微分幾何研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] Nonnegativity of the CR Paneitz operator for embeddable CR manifolds2021
- Author(s)
  竹内有哉
- Organizer
  複素解析幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR多様体の埋め込み問題について2021
- Author(s)
  竹内有哉
- Organizer
  筑波大学数学域談話会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13792
[Presentation] CR山辺の問題とCR Paneitz作用素2021
- Author(s)
  竹内有哉
- Organizer
  筑波大学解析セミナー
- Data Source
  KAKENHI-PROJECT-21K13792

Takeuchi Yuya 竹内 有哉

Research Projects

Research Products

Spectrum of CR invariant differential operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on immersions into conformal (CR) manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] The CR Yamabe constant and inequivalent CR structures2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kohn?Rossi cohomology of spherical CR manifolds2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Formulae of some global CR invariants for Sasakian η-Einstein manifolds2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] ℐ&apos;-curvatures in higher dimensions and the Hirachi conjecture2023

Author(s)

Journal Title

DOI

ISSN

Language

Data Source

[Journal Article] Analysis of the critical CR GJMS operator2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generalizations of the Q-prime curvature via renormalized characteristic forms2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Chern classes of spherical CR manifolds2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] CR Q-curvature and CR Pluriharmonic Functions2022

Author(s)

Journal Title

DOI

Data Source

[Presentation] 球面的CR多様体のKohn-Rossiコホモロジー2024

Author(s)

Organizer

Data Source

[Presentation] Kohn-Rossi cohomology of spherical CR manifolds2024

Author(s)

Organizer

Data Source

[Presentation] CR Paneitz 作用素と埋め込み可能性2024

Author(s)

Organizer

Data Source

[Presentation] Spectral analysis of the CR Paneitz operator2024

Author(s)

Organizer

Data Source

[Presentation] Spectral analysis of the CR Paneitz operator2024

Author(s)

Organizer

Data Source

[Presentation] Kohn-Rossi cohomology of spherical CR manifolds2024

Author(s)

Organizer

Takeuchi Yuya 竹内有哉

[Journal Article] ℐ'-curvatures in higher dimensions and the Hirachi conjecture2023