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J-GLOBAL ID：200901094529131758 Update date: Sep. 01, 2020

Koike Tatsuya

コイケタツヤ | Koike Tatsuya

Affiliation and department：
Job title： Associate Professor
Research theme for competitive and other funds (6)：

2016 - 2019 完全WKB解析と多重総和法
2013 - 2016 微分方程式に対する漸近解析の新しい展開
2013 - 2016 多変数特殊関数の理論と数値計算
2010 - 可積分系と保存量と変換の方法による特別な性質をもつ曲面の漸近挙動の研究
2009 - ガルニエ系と完全WKB解析

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Papers (14)：

Shingo Kamimoto, Takahiro Kawai, Tatsuya Koike. On the Singularity Structure of WKB Solution of the Boosted Whittaker Equation: its Relevance to Resurgent Functions with Essential Singularities. LETTERS IN MATHEMATICAL PHYSICS. 2016. 106. 12. 1791-1815
Francisco-Jesús Castro-Jiménez, María-Cruz Fernández-Fernández, Tatsuya Koike, Nobuki Takayama. Irregular modified A-hypergeometric systems. Transactions of the American Mathematical Society. 2015. 367. 8. 5415-5445
F.Castro-Jimenez, M.C.Fernandez-Fernandez, KOIKE Tastuya, TAKAYAMA Nobuki. Irregularity of Modified A-Hypergeometric Systems. Transaction of AMS. 2015. 367. 5415--5445.
KOIKE tatuya, KAMIMOTO Shingo. On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations. Kôkyûroku Bessatsu. 2013. B40. 191-212
KOIKE tatuya, TAKEI Yoshitsugu. Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations. Kôkyûroku Bessatsu. 2013. B41. 293-312

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Lectures and oral presentations (43)：

Introduction to exact WKB analysis and Borel summability of WKB solutions
(MS Seminar at IPMU 2018)
An Introduction to Voros coefficients in exact WKB analysis and its recent depelopments
(Geometric Structures Laboratory Seminar 2017)
On Voros coefficients in exact WKB analysis
(RIMS-iTHEMS International Workshop on Resurgence Theory 2017)
Voros coefficients in exact WKB analysis
(Geometry, Analysis and Mathematical Physics 2017)
完全WKB解析とBorel総和法
(超幾何学校2016 2016)

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Education (1)：

- 2000 京都大学大学院理学研究科博士後期課程数学・数理解析専攻修了

Professional career (2)：

修士(理学) (京都大学)
博士(理学) (京都大学)

Committee career (1)：

日本数学会函数方程式論分科会委員会委員

Awards (1)：

2010/12 - 日本数学会函数方程式論分化会日本数学会函数方程式論分科会第一回福原賞完全WKB解析を用いた微分方程式の研究

Association Membership(s) (1)：

日本数学会

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