Takeuchi Yuya

Affiliation

Institute of Pure and Applied Sciences

Official title

Assistant Professor

ORCID

0000-0002-7279-1177

Research keywords

CR geometry
complex analysis in several variables
conformal geometry
geometric analysis
microlocal analaysis
scattering theory
Q-curvature
GJMS operator
Q-prime curvature
Graham-Witten energy
more...

Research projects

共形（CR）多様体へのはめ込みに関する研究	2021 -- 2023	竹内 有哉	Japan Society for the Promotion of Science/Grant-in-Aid for Early-Career Scientists	4,680,000Yen
ＣＲ幾何における大域解析	2016-04 -- 2019-03	竹内有哉	Japan Society of for the Promotion of Science/Grant-in-Aid for JSPS Fellows	1,900,000Yen

Career history

2019-10 -- 2020-03	大阪大学大学院理学研究科非常勤講師
2019-05 -- 2019-09	大阪大学大学院理学研究科非常勤講師

Academic background

2016-04 -- 2019-03	東京大学 大学院数理科学研究科 博士課程
2014-04 -- 2016-03	東京大学 大学院数理科学研究科 修士課程

Degree

2019-03	博士（数理科学）	東京大学
2016-03	修士（数理科学）	東京大学

Academic societies

2017-04 -- (current)	日本数学会

Honors & Awards

2019-03	研究科長賞
2016-03	研究科長賞
2014-03	理学部学修奨励賞

Articles

• I'-curvatures in higher dimensions and the Hirachi conjecture
  Case Jeffrey S.; Takeuchi Yuya
  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN/75(1)/pp.291-328, 2023-01
• CR Q-curvature and CR Pluriharmonic Functions
  Takeuchi Yuya
  The Journal of Geometric Analysis/32(6), 2022-04
• Chern classes of spherical CR manifolds
  Takeuchi Yuya
  The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze/XXIII(1)/pp.1-13, 2022-03
• Nonnegativity of the CR Paneitz operator for embeddable CR manifolds
  Takeuchi Yuya
  Duke Mathematical Journal/169(18)/pp.3417-3438, 2020-12
• A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
  Takeuchi Yuya
  Symmetry, Integrability and Geometry: Methods and Applications, 2020-01
• On the second variation of the Graham-Witten energy
  Takeuchi Yuya
  Proceedings of American Mathematical Society/148/pp.393-402, 2019-08
• Stability of the existence of a pseudo-Einstein contact form
  竹内 有哉
  Pacific Journal of Mathematics/303(2)/pp.757-765, 2019-12
• On the Renormalized Volume of Tubes Over Polarized Kähler–Einstein Manifolds
  Takeuchi Yuya
  The Journal of Geometric Analysis/29/pp.134-141, 2019-01
• Ambient constructions for Sasakian η-Einstein manifolds
  Takeuchi Yuya
  Advances in Mathematics/328(13)/pp.82-111, 2018-04
• Q-prime curvature and scattering theory on strictly pseudoconvex domains
  Takeuchi Yuya
  Mathematical Research Letters/24(5)/pp.1523-1554, 2017-12

Conference, etc.

• CR Paneitz operator and embeddability
  Takeuchi Yuya
  Complex analysis and elliptic PDE's/2023-01-16
• I-prime曲率と平地予想
  竹内 有哉
  第65回函数論シンポジウム/2022-10-22
• I'-curvatures and the Hirachi conjecture
  Takeuchi Yuya
  Pacific Rim Complex and Symplectic Geometry Conference, Kyoto, 2022/2022-08-05
• CR山辺の問題と接触山辺不変量
  竹内 有哉
  接触構造、特異点、微分方程式及びその周辺/2022-01-19
• CR多様体の埋め込み問題について
  竹内 有哉
  筑波大学数学域談話会/2021-11-25
• CR山辺の問題とCR Paneitz作用素
  竹内 有哉
  2021年度福岡大学微分幾何研究集会/2021-11-08
• CR山辺の問題とCR Paneitz作用素
  竹内 有哉
  筑波大学解析セミナー/2021-07-08
• Nonnegativity of the CR Paneitz operator for embeddable CR manifolds
  竹内 有哉
  複素解析幾何セミナー/2021-05-31

Teaching

2023-10 -- 2024-02	Research in Analysis IA	University of Tsukuba.
2023-10 -- 2024-02	Research in Analysis IIA	University of Tsukuba.
2023-04 -- 2023-08	Research in Analysis IIB	University of Tsukuba.
2023-04 -- 2023-08	Research in Analysis IB	University of Tsukuba.
2023-04 -- 2023-08	Research in Analysis IA	University of Tsukuba.
2023-04 -- 2023-08	Research in Analysis IIA	University of Tsukuba.
2023-04 -- 2023-05	Mathematics Literacy 1	University of Tsukuba.
2023-10 -- 2024-02	Research in Analysis IB	University of Tsukuba.
2023-10 -- 2024-02	Research in Analysis IIB	University of Tsukuba.
2023-04 -- 2023-08	Frontiers of Mathematics	University of Tsukuba.
more...

Professional activities

2022-04 -- 2023-03	The Mathematical Society of Japan	地方区代議員

University Management

2021-04 -- (current)	談話会委員

(Last updated: 2023-08-04)