SHINGO KAMIMOTO

Last Updated :2020/12/01

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor or Lecturer
E-mail
kamimotohiroshima-u.ac.jp

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

  1. 2020, Undergraduate Education, 2Term, Analysis I
  2. 2020, Undergraduate Education, 2Term, Exercises in Analysis I
  3. 2020, Undergraduate Education, 1Term, Analysis B
  4. 2020, Undergraduate Education, 1Term, Exercises in Analysis B
  5. 2020, Undergraduate Education, 4Term, Mathematical Analysis B
  6. 2020, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2020, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  8. 2020, Graduate Education (Master's Program) , First Semester, Seminar of Complex Analysis and Functional Equation
  9. 2020, Graduate Education (Master's Program) , Second Semester, Seminar of Complex Analysis and Functional Equation
  10. 2020, Graduate Education (Master's Program) , 4Term, Mathematical Analysis B
  11. 2020, Graduate Education (Master's Program) , 3Term, Topics in Mathematical Analysis C
  12. 2020, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
  13. 2020, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
  14. 2020, Graduate Education (Master's Program) , 1Term, Mathematical Analysis A
  15. 2020, Graduate Education (Master's Program) , 4Term, Topics in Mathematical Analysis D
  16. 2020, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  17. 2020, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  18. 2020, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  19. 2020, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Convolution product and resurgence, Complex Differential and Difference Equations, 219-242
  2. ★, 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
  3. Resurgence of formal series solutions of nonlinear differential and difference equations, Proc. Japan Acad. Ser. A Math. Sci., 92(8), 92-95, 2016
  4. Nonlinear analysis with endlessly continuable functions, RIMS Kokyuroku Bessatsu, B57, 235-247, 2016
  5. Resurgent functions and linear differential operators of infinite order -- their happy marriage in exact WKB analysis, RIMS Kokyuroku Bessatsu, B52, 127-146, 2014
  6. ★, 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
  7. ★, 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
  8. On the Borel summability of 0-parameter solutions of nonlinear ordinary differential equations, RIMS Kokyuroku Bessatsu, B40, 191-212, 2013
  9. 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
  10. ★, 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
  11. 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
  12. ★, Iterated convolutions and endless Riemann surfaces, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XX(1), 177-215
  13. Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 472(1), 627-686, 20190401

Invited Lecture, Oral Presentation, Poster Presentation

  1. 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)
  2. 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
  3. 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
  4. Convolutions and analytical continuability of holomorphic functions, Shingo Kamimoto, David Sauzin, Analytic, Algebraic and Geometric Aspects of Differential Equations, 2015, With Invitation, English, Poland
  5. 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
  6. 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
  7. 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
  8. 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)
  9. Convolution product and resurgence, Shingo Kamimoto, Complex Differential and Difference Equations 2018, 2018/09, With Invitation, English, Poland
  10. Multisummability and strongly regular sequences, Shingo Kamimoto, Complex Differential and Difference Equations 2018, 2018/09/14, Without Invitation, English, Poland
  11. Gevrey asymptotics, Shingo Kamimoto, 2018/10, With Invitation, English, Italy
  12. 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
  13. On the Borel summability of WKB theoretic transformation series, Shingo Kamimoto, 2019/01/07, With Invitation, English, Kobe University

Awards

  1. 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

Social Activities

Organizing Academic Conferences, etc.

  1. Algebraic analysis and Asymptotic analysis in Hokkaido, 2018/05, 2018/05
  2. Formal and analytic solutions of functional equations on the complex domain, 2018/12, 2018/12