## Basic Information

### Academic Degrees

- The University of Tokyo
- The University of Tokyo

### Research Fields

- Mathematical and physical sciences;Mathematics;Basic analysis

### Research Keywords

- Asymptotic analysis, Algebraic analysis, Resurgent analysis

## Educational Activity

### Course in Charge

- 2022, Undergraduate Education, 1Term, Analysis B
- 2022, Undergraduate Education, 2Term, Analysis III
- 2022, Undergraduate Education, 2Term, Exercises in Analysis III
- 2022, Undergraduate Education, 3Term, Mathematical Analysis B
- 2022, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2022, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2022, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
- 2022, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
- 2022, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
- 2022, Graduate Education (Master's Program) , 1Term, Mathematical Analysis A
- 2022, Graduate Education (Master's Program) , 3Term, Mathematical Analysis B
- 2022, Graduate Education (Master's Program) , 2Term, Topics in Mathematical Analysis C
- 2022, Graduate Education (Master's Program) , 4Term, Topics in Mathematical Analysis D
- 2022, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
- 2022, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
- 2022, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
- 2022, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

## Research Activities

### Academic Papers

- ★, On the singularity structure of WKB solution of the Boosted Whittaker equation: its relevance to resurgent functions with essential singularities, Lett. Math. Phys., 106, 1791-1815, 2016
- Resurgence of formal series solutions of nonlinear differential and difference equations, Proc. Japan Acad. Ser. A Math. Sci., 92(8), 92-95, 2016
- Nonlinear analysis with endlessly continuable functions, RIMS Kokyuroku Bessatsu, B57, 235-247, 2016
- Resurgent functions and linear differential operators of infinite order -- their happy marriage in exact WKB analysis, RIMS Kokyuroku Bessatsu, B52, 127-146, 2014
- ★, Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point, I -- its WKB-theoretic transformation to the Mathieu equation, Adv. Math., 260, 458-564, 2014
- ★, Exact WKB analysis of a Schrödinger 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, Adv. Math., 260, 565-613, 2014
- On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations, RIMS Kokyuroku Bessatsu, B40, 191-212, 2013
- Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point, The Mathematical Legacy of Leon Ehrenpreis, 125-150, 2012
- ★, On the WKB theoretic structure of the Schrödinger operators with a merging pair of a simple pole and a simple turning point, Kyoto J. Math., 50, 101-164, 2010
- 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, Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II, 245-254, 2011
- ★, Iterated convolutions and endless Riemann surfaces, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XX(1), 177-215, 2020
- Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 472(1), 627-686, 20190401
- Convolution product and resurgence, Complex Differential and Difference Equations, 219-242, 2020

### Invited Lecture, Oral Presentation, Poster Presentation

- Iterated Convolution and the Resurgence of Formal Solutions of Nonlinear ODE, Shingo Kamimoto, Applicable resurgent asymptotics: towards a universal theory, 2021/06/18, With Invitation, English, Isaac Newton Institute for Mathematical Sciences
- Mould expansion and resurgence, Shingo Kamimoto, Formal and Analytic Solutions of Diff. Equations, 2020/06/29, Without Invitation, English, Alberto Lastra, University of Alcalá (Online)
- Connes-Kreimer Hopf algebra and resurgence, Shingo Kamimoto, Microlocal Analysis and Asymptotic Analysis, 2019/11/19, With Invitation, English, Sampei Hirose, Research Institute for Mathematical Sciences, Kyoto University
- Iterated convolution and resurgence, Shingo Kamimoto, RIMS-iTHEMS International Workshop on Resurgence Theory, 2017/09/06, With Invitation, English, Tetsuo Hatsuda (RIKEN iTHEMS / Nishina Center) Yoshimasa Hidaka (RIKEN Nishina Center) Tatsuhiro Misumi (Akita U. / Keio U. / iTHEMS) Yoshitsugu Takei (Doshisha U.), RIKEN Kobe Campus
- Convolutions and analytical continuability of holomorphic functions, Shingo Kamimoto, David Sauzin, Analytic, Algebraic and Geometric Aspects of Differential Equations, 2015, With Invitation, English, Poland
- Iterated convolution of resurgent functions, Shingo Kamimoto, Formal and Analytic Solutions of Partial Differential Equations, 2016/09/01, With Invitation, English, Jorge Mozo (University of Valladolid, Spain) Yasunori Okada (Chiba University, Japan) Luca Prelli (Lisbon University, Portugal) Javier Sanz (University of Valladolid, Spain), Mathematics Department of the University of Lisbon
- Resurgence and iterated convolution, Shingo Kamimoto, Algebraic Analysis in Yamaguchi - D-module, microlocal analysis, summability, 2017/11/19, Without Invitation, English, Naofumi Honda (Hokkaido Univ.), Yasunori Okada (Chiba Univ.), Susumu Yamazaki (Nihon Univ.), Yoko Umeta (Yamaguchi Univ.), Kanponoyado Yuda
- Multisummability for strongly regular sequences, Shingo Kamimoto, Javier Jimenez-Garrido, Alberto Lastra, Javier Sanz, Algebraic analysis and Asymptotic analysis in Hokkaido, 2018/05/16, Without Invitation, English, Naofumi Honda, Shingo Kamimoto, Hokkaido University
- Multisummability for strongly regular sequences, Shingo Kamimoto, Javier Jimenez-Garrido, Alberto Lastra, Javier Sanz, FASPDE18, 2018/06/28, With Invitation, English, Javier Jimenez-Garrido, Alberto Lastra, Jorge Mozo, Yasunori Okada, Luca Prelli, Javier Sanz, Padova university (Italy)
- Convolution product and resurgence, Shingo Kamimoto, Complex Differential and Difference Equations 2018, 2018/09, With Invitation, English, Poland
- Multisummability and strongly regular sequences, Shingo Kamimoto, Complex Differential and Difference Equations 2018, 2018/09/14, Without Invitation, English, Poland
- Gevrey asymptotics, Shingo Kamimoto, 2018/10, With Invitation, English, Italy
- Resurgent analysis of differential equations, Shingo Kamimoto, Formal and analytic solutions of functional equations on the complex domain, 2018/12/17, Without Invitation, English, RIMS Kyoto University
- On the Borel summability of WKB theoretic transformation series, Shingo Kamimoto, 2019/01/07, With Invitation, English, Kobe University

### Awards

- 2018/12/22, Hukuhara Prize, The Division of Functional Equations of the Mathematical Society of Japan, Research on asymptotic analysis based on the Borel resummation method and the resurgent functions theory, and its application to differential equations