last modified：2026/08/25
Associate Professor KAMIMOTO, Shingo
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering
College and School Educational Field
Laboratory
Academic Background
Career
Kanazawa University Faculty of Mathematics and Physics, Institute of Science and Engineering Associate Professor(2024/10/01-)
Year & Month of Birth
Academic Society
Award
Kanazawa University Faculty of Mathematics and Physics, Institute of Science and Engineering Associate Professor(2024/10/01-)
Specialities
Basic analysis
Speciality Keywords
algebraic analysis,resurgence theory,exact WKB analysis,asymptotic analysis
Research Themes
Books
Papers
- Resurgent transseries, mould calculus and Connes-Kreimer Hopf algebra Shingo Kamimoto Proc. Japan Acad. Ser. A Math. Sci. 99 9 65 2023/11
- Resurgent functions and nonlinear systems of differential and difference equations Shingo Kamimoto Advances in Mathematics 406 2022/09/17
- Convolution product and resurgence Shingo Kamimoto Complex Differential and Difference Equations 219 2020
- Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders Jimenez-Garrido, Javier,Kamimoto, Shingo,Lastra, Alberto,Sanz, Javier JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 472 1 627 2019/04/01
- On the Singularity Structure of WKB Solution of the Boosted Whittaker Equation: its Relevance to Resurgent Functions with Essential Singularities Shingo Kamimoto,Takahiro Kawai,Tatsuya Koike LETTERS IN MATHEMATICAL PHYSICS 106 12 1791 2016/12
- Resurgence of formal series solutions of nonlinear differential and difference equations Shingo Kamimoto PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 92 8 92 2016/10
- Nonlinear analysis with endlessly continuable functions Shingo Kamimoto and David Sauzin RIMS Kokyuroku Bessatsu B57 235 2016
- Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point, I - Its WKB-theoretic transformation to the Mathieu equation Shingo Kamimoto,Takahiro Kawai,Yoshitsugu Takei ADVANCES IN MATHEMATICS 260 458 2014/08
- Exact WKB analysis of a Schrodinger equation with a merging triplet of two simple poles and one simple turning point, II - Its relevance to the Mathieu equation and the Legendre equation Shingo Kamimoto,Takahiro Kawai,Yoshitsugu Takei ADVANCES IN MATHEMATICS 260 565 2014/08
- On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations Shingo Kamimoto,Tatsuya Koike RIMS Kokyuroku Bessatsu B40 191 2013
- Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and a simple turning point Shingo Kamimoto,Takahiro Kawai,Yoshitsugu Takei Springer Proceedings in Mathematics 16 125 2012
- On a Schrödinger equation with a merging pair of a simple pole and a simple turning point -- Alien calculus of WKB solutions through microlocal analysis Shingo Kamimoto, Takahiro Kawai, Tastuya Koike and Yoshitsugu Takei Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II 245 2011
- On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point Shingo Kamimoto,Takahiro Kawai,Tatsuya Koike,Yoshitsugu Takei Kyoto Journal of Mathematics 50 1 101 2010
- Iterated convolution product of index 1/k and endlessly continuable functions Chisato Araki, Shingo Kamimoto RIMS Kôkyûroku Bessatsu B101 1-8 2026/04/01
- Iterated convolutions and endless Riemann surfaces S. Kamimoto, D. Sauzin Ann. Sc. Norm. Super. Pisa Cl. Sci. XX 5 177-215 2020
Conference Presentations
- Multisummability for strongly regular sequences(conference：Algebraic analysis and Asymptotic analysis in Hokkaido)(2018/05/16)
- On the Borel summability of WKB theoretic transformation series(2019/01/07)
- Iterated Convolution and the Resurgence of Formal Solutions of Nonlinear ODE(conference：Applicable resurgent asymptotics: towards a universal theory)(2021/06/18)
- Resurgence and iterated convolution(conference：Algebraic Analysis in Yamaguchi - D-module, microlocal analysis, summability)(2017/11/04)
- Resurgence of WKB solutions(conference：Himeji Conference on Partial Differential Equations)(2025/03/04)
- Resurgence of WKB solutions(conference：Prospects in microlocal analysis and asymptotic analysis)(2024/10/08)
Others
Arts and Fieldwork
Patent
Theme to the desired joint research
Grant-in-Aid for Scientific Research
○「位相的漸化式, 量子曲線とリサージェンス理論」(2024-2029)
○「Mould 解析を用いた Resurgence 理論の研究」(2022-2027)
○「リサージェンス理論と数理物理学」(2018-2023)