Takei Yoshitsugu

タケイヨシツグ | Takei Yoshitsugu

Affiliation and department：

Research field (1)： Basic analysis

Research keywords (2)：微分方程式 , Differential Equations

Research theme for competitive and other funds (16)：

2019 - 2024 Global structure of solutions for differential equations of singular perturbation type and exact WKB analysis
2014 - 2019 Structure of asymptotic solutions of integrable systems and WKB analysis
2009 - 2014 Asymptotic analysis for hypergeometric systems and Garnier systems
2006 - 2009 Connection problems for Painleve hierarchies and WKB analysis
2004 - 2006 Exact WKB analysis for higher order Painleve equations

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Papers (81)：

Sampei Hirose, Takahiro Kawai, Shinji Sasaki, Yoshitsugu Takei. On the Stokes Geometry of Perturbed Tangential Pearcey Systems. Publications of the Research Institute for Mathematical Sciences. 2021. 57. 3. 727-754
Yoshitsugu Takei. Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions. Complex Analysis and Operator Theory. 2020. 14. 8
Sampei Hirose, Takahiro Kawai, Yoshitsugu Takei. Pearcey system re-examined from the viewpoint of s-virtual turning points and non-hereditary turning points. RIMS Kokyuroku Bessatsu. 2019. 75. 151-175
Yoshitsugu Takei. Extension of the exact steepest descent method to the middle convolution. 2019. 2101. 146-152
Yoshitsugu Takei. On the instanton-type expansions for Painlevé transcendents and elliptic functions. 2019. 365-377

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MISC (4)：

河合隆裕, 竹井義次. 特異摂動の代数解析学 : 完全WKB解析を中心に (特集量子力学と数学). 数学セミナー. 2013. 52. 11. 22-27
Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose. Preface. Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai. 2008
竹井義次. WKB解析とストークス現象 (特集数理物理における代数解析的方法). 数理科学. 2000. 38. 11. 48-54
河合隆裕, 竹井義次. 特異摂動論への一つの誘い (フォーラム:現代数学の風景/佐藤幹夫の数学). 数学のたのしみ. 1999. 13. 78-95

Books (10)：

RIMS Kokyuroku Bessatsu, Vol. B61 --- Microlocal Analysis and Singular Perturbation Theory
RIMS, Kyoto University 2017
Virtual Turning Points
Springer-Verlag 2015
RIMS Kokyuroku Bessatsu, Vol. B52 --- Exponential Analysis of Differential Equations and Related Topics
RIMS, Kyoto University 2014
RIMS Kokyuroku Bessatsu, Vol. B10 --- Differential Equations and Exact WKB Analysis
RIMS, Kyoto University 2008
Algebraic Analysis of Differential Equations --- from Microlocal Analysis to Exponential Asymptotics
Springer-Verlag 2008

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Lectures and oral presentations (45)：

On the exact WKB analysis for difference equations
(Various Problems in Microlocal Analysis and Asymptotic Analysis (RIMS, Kyoto Univ.) 2023)
On the exact WKB analysis for difference equations
(Frontiers in Nonlinear Differential Equations and Stokes Phenomena (OIST, Okinawa) 2023)
On the exact WKB analysis for difference equations
(Complex Differential and Difference Equations II (Banach International Mathematical Center, Bedlewo, Poland) 2023)
Comparison between WKB solutions and convergent solutions at a regular singular point of simple pole type via the confluence
(Prospects in microlocal analysis and asymptotic analysis (RIMS, Kyoto Univ.) 2022)
On two-parameter instanton-type solutions of Painlevé equations and their analytic interpretation --- A review of the exact WKB analysis for Painlevé equations
(Physical resurgence: On quantum, gauge, and stringy (Newton Institute, Cambridge, UK) 2022)

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Education (2)：

Professional career (2)：

Work history (4)：

2017 - 現在 Doshisha University Faculty of Science and Engineering, Department of Mathematical Science
2007 - 2017 Kyoto University Research Institute for Mathematical Sciences
1993 - 2007 Kyoto University Research Institute for Mathematical Sciences
1990 - 1993 Kyoto University Faculty of Science

Awards (1)：

Association Membership(s) (2)：

日本数学会 , Mathematical Society of Japan

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