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Kumano-go Naoto

Center for Promotion of Higher Education　Division of Liberal ArtsProfessor

Career

  • Apr. 2020 - Present
    Kogakuin University, Center for Promotion of Higher Education Division of Liberal Arts, Professor
  • Oct. 2022 - Mar. 2023
    東京都立大学
  • Apr. 2016 - Mar. 2020
    Kogakuin University, Faculty of Informatics Department of Information Systems and Applied Mathematics, Professor
  • Apr. 2011 - Mar. 2016
    Kogakuin University, Division of Liberal Arts, Professor
  • Apr. 2010 - Mar. 2011
    Kogakuin University, Faculty of Engineering, Division of General Education, Professor
  • Apr. 2007 - Mar. 2010
    Kogakuin University, Faculty of Engineering, Division of General Education, Associate Professor
  • Apr. 2001 - Mar. 2007
    Kogakuin University, Faculty of Engineering, Division of General Education, Assistant Professor
  • Apr. 2000 - Mar. 2004
    東京大学
  • Apr. 1997 - Mar. 2001
    Kogakuin University, Faculty of Engineering, Division of General Education, Lecturer

Educational Background

  • Apr. 1994 - Mar. 1997
    東京大学大学院
  • Apr. 1992 - Mar. 1994
    The University of Tokyo, Graduate School of Mathematical Sciences, Department of Mathematical Sciences
  • Apr. 1988 - Mar. 1992
    The University of Tokyo, Faculty of Science, Department of Mathematics

Degree

  • Mar. 1992
    Bachelor (Science), The University of Tokyo
  • Mar. 1994
    Master (Mathematical Science), The University of Tokyo
  • Mar. 1997
    Ph.D (Mathematical Science), The University of Tokyo

IDs

  • Identifiers

    研究者番号：40296778
    researchmap会員ID：1000224438
    J-Global ID：200901017260727514

Research Field

  • Natural sciences, Mathematical analysis
  • Natural sciences, Basic analysis
  • Natural sciences, Applied mathematics and statistics

Research Keyword

  • Partial Differential Equation
  • Microlocal Analysis
  • Path Integral
  • Probabilitiy
  • Mathematical Physics

Books and other publications

  • 理工系のための微分積分[改訂版]
    Joint work
    01 Sep. 2023
    9784563012533
  • 理工系のための線形代数[改訂版]
    Joint work
    30 Nov. 2018
    9784563012304
  • 理工系のための線形代数
    Joint work
    Sep. 2016
  • 朝倉 数学辞典
    Contributor
    Jun. 2016
  • 理工系のための微分積分
    Joint work
    Apr. 2016
  • 理工系のための基礎数学
    Joint work
    Dec. 2015
  • RIMS Kokyuroku 1958: Introductory Workshop on Path Integrals and Pseudo-Differential Operators
    Naoto Kumano-go; Yasuo Chiba, Editor
    RIMS, Kyoto University, Jul. 2015
  • RIMS Kokyuroku 1797: Introductory Workshop on Feynman Path Integral and Microlocal Analysis
    Naoto Kumano-go; Susumu Yamazaki; Byoung Soo Kim; Yasuo Chiba, Editor
    RIMS, Kyoto University, Jun. 2012
  • RIMS Kôkyûroku 1723: Introduction to Path Integrals and Microlocal Analysis
    Naoto Kumano-go; Susumu Yamazaki; Yasunori Okada, Editor
    RIMS, Kyoto University, Jan. 2011
  • RIMS Kôkyûroku Bessatsu B5: Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations
    Takashi Aoki; Naoto Kumano-go; Susumu Yamazaki, Editor
    RIMS, Kyoto University, Jan. 2008
  • RIMS Kôkyûroku 1397: Microlocal Analysis and Asymptotic Analysis
    Takahiro Kawai; Nobuyuki Tose; Susumu Yamazaki; Naoto Kumano-go, Editor
    RIMS, Kyoto University, Oct. 2004
  • 1211:Asymptotic Analysis and Microlocal Analysis of PDE
    N. Tose; N. Kumano-go; Y. Okada; M. Uchida, Editor
    RIMS, Kyoto University, Jun. 2001

Paper

MISC

Lectures, oral presentations, etc.

  • Feynman path integrals via time-slicing approximation
    Naoto Kumano-go
    15th International Conference on Applied Physics and Mathematics (Keynote Speaker), 11 Apr. 2025, [Invited]
  • Phase space Feynman path integrals of parabolic type on the torus as analysis on path space
    Naoto Kumano-go
    International Conference "Microlocal and Global Analysis, Interactions with Geometry", 10 Feb. 2025
  • Phase space Feynman path integrals of parabolic type on the torus as analysis on path space
    Naoto Kumano-go
    RIMS Symposium on Prospects in microlocal analysis and asymptotic analysis, 11 Oct. 2024, [Invited]
  • トーラス上の相空間 Feynman 経路積分について
    14 Sep. 2024, [Invited]
  • トーラス上の相空間 Feynman 経路積分 —経路空間上の解析 として
    03 Sep. 2024, [Invited]
  • トーラス上の相空間 Feynman 経路積分について
    15 Jun. 2024, [Invited]
  • トーラス上の相空間経路積分について
    熊ノ郷 直人
    Recent topics in algebraic analysis (代数解析日大研究集会), 06 Mar. 2024, Naofumi Honda (Hokkaido Univ.), Yasunori Okada (Chiba Univ.), Kohei Umeta (Nihon Univ.) and Susumu Yamazaki (Nihon Univ.), [Invited]
  • Phase space Feynman path integrals of parabolic type on,the torus as analysis on path space
    Naoto Kumano-go
    Cnference "Pseudo-Differential Operators and Related Topics PSORT-2024", Ghent University, Belgium, 01 Feb. 2024, Marianna Chatzakou (UGent, Belgium),Aparajita Dasgupta (IIT Delhi, India),Vishvesh Kumar (UGent, Belgium),David Rottensteiner (UGent, Belgium),Michael Ruzhansky (UGent, Belgium, [Invited]
  • トーラス上の放物型相空間経路積分ー経路空間上の解析として
    13 Oct. 2023
  • Phase space Feynman path integrals of parabolic type on the Torus as analysis on path space
    Naoto Kumano-go
    Recent topics in algebraic analysis, Nihon University, 09 Mar. 2023
  • Phase space Feynman path integrals of parabolic type with general functionals
    Naoto Kumano-go
    Conference on PDE and Numerical Analysis,,TIFR-CAM, Bangalore, India, 30 Apr. 2022, [Invited]
  • Phase space Feynman path integrals of parabolic type
    Naoto Kumano-go
    Recent topics in algebraic analysis, Chiba University, 20 Feb. 2022, Naofumi Honda, Yasunori Okada, Susumu Yamazaki, [Invited]
  • Phase space Feynman path integrals of parabolic type
    Naoto Kumano-go
    2021 RIMS Workshop Spectral and Scattering Theory and Related Topics, 03 Dec. 2021, Organizers: Kazunori Ando (Ehime University), Hisashi Morioka (Ehime University), [Invited]
  • 放物型の相空間Feynman 経路積分と滑らかな汎函数微分
    27 Aug. 2019, [Invited]
  • Phase space Feynman path integrals of parabolic type with smooth functional derivatives
    Naoto Kumanogo
    Colloquium, TIFR-CAM, Bangalore, India, 13 Aug. 2019, [Invited]
  • Phase space Feynman path integrals of parabolic type with smooth functional derivatives
    Naoto Kumano-go
    RIMS Joint Research "Various Problems of Algebraic Analysis - Microlocal Analysis and Asymptotic Analysis ", 16 Oct. 2018
  • Stationary phase method and Feynman path integrals
    Naoto Kumano-go
    Special Lecture, TIFR Centre For Applicable Mathematics, Bangalore, India, 08 Aug. 2018
  • Phase space Feynman path integrals
    Naoto Kumano-go
    19th Annual Workshop on Applications and Generalizations of Complex Analysis, Aveiro University, Portugal, 24 Mar. 2018
  • Feynman経路積分ー時間分割近似法による経路空間上の解析
    03 Mar. 2018
  • Phase space Feynman path integrals of parabolic type with functional derivatives
    KUMANO-GO Naoto
    RIMS Joint Research "Microlocal analysis and asymptotic analysis", 20 Oct. 2017
  • Phase space Feynman path integrals of higher order parabolic type with general functional as integrand
    Naoto Kumano-go
    Lecture, TIFR Centre For Applicable Mathematics, Bangalore, India, 03 Aug. 2017
  • Phase space Feynman path integrals of higher order parabolic type with general functional as integrand
    Naoto Kumano-go
    The 9th Nagoya Workshop on Differential Equations, Nagoya University, 21 Mar. 2017
  • Phase space Feynman path integrals as analysis on path space
    Naoto Kumano-go
    Mathematical Physics Seminar, University of Trento, Italy, 15 Feb. 2017
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    Workshop "Path Integration in Complex Dynamical Systems", Lorentz Center, Leiden, Netherland, 10 Feb. 2017
  • Phase space path integral of higher order parabolic type with general functional as integrand
    Naoto Kumano-go
    The 14th Linear and Nonlinear Waves, Piazza Omi, 02 Nov. 2016
  • Phase space path integral of higher order parabolic type with general functional as integrand
    Naoto Kumano-go
    Workshop on Differential Equations in Hiroshima, Hiroshima University, 15 Oct. 2016
  • Phase space path integral of higer order parabolic type with general functional as integrand
    Naoto Kumano-go
    RIMS Symposium on "New development of microlocal analysis and singular perturbation theory", RIMS, Kyoto University, 04 Oct. 2016
  • Phase space Feynman path integrals of higher order parabolic type with general functional as integrand
    Naoto Kumano-go
    Workshop "Geometric and Singular Analysis", The University of Potsdam, Germany, 11 Mar. 2016, W. Bauer, K. Furutani , S. Paycha, L. Rodino, R. Schulz, B.-W. Schulze, J. Seiler, I. Witt
  • Phase space Feynman path integrals of higher order parabolic type
    Naoto Kumano-go
    Workshop "Feynman integral with harmonic analysis and related topics", CAMP，NIMS, Daejeon, Korea, 20 May 2015
  • Path integrals for Gaussian processes as analysis on path space
    Naoto Kumano-go
    Workshop "Geometric and Singular Analysis", The University of Potsdam, Germany, 2015年2月10日, 10 Feb. 2015
  • Phase space Feynman path integrals as analysis on path space
    KUMANO-GO Naoto
    Workshop on Analysis in Kagurazaka 2015, Tokyo University of Science, 24 Jan. 2015
  • Phase space Feynman path integrals as analysis on path space
    Naoto Kumano-go
    Microlocal Day #5, Imperial College London, UK, 16 Jan. 2015, [Invited]
  • Phase space Feynman path integrals of higher order parabolic type
    Naoto Kumano-go
    RIMS Joint Research "Introductory Workshop on Path Integrals and Pseudo-Differential Operators", 10 Oct. 2014
  • Phase space Feynman path integrals of m-th order parabolic type for general functionals
    Naoto Kumano-go
    Workshop 'Geometric and Singular Analysis', The University of Potsdam, Germany, 2014年3月25日, 25 Mar. 2014, [Invited]
  • Phase space Feynman path integrals as analysis on path space
    Naoto Kumano-go
    RIMS Workshop "Spectral and Scattering Theory and Related Topics", RIMS, Kyoto University, 11 Dec. 2013
  • Phase space Feynman path integrals with smooth functional derivatives
    Naoto Kumano-go
    Lecture, TIFR Centre For Applicable Mathematics, Bangalore, India, 05 Aug. 2013
  • 相空間の経路積分－フーリエ積分作用素の多重積の応用として
    02 Feb. 2013
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    Special Session on Interplays Between Feynman Operational Calculus, Wiener and Feynman Integrals, Physics, and Analysis on Wiener Space, AMS Joint Mathematics Meetings, San Diego, USA, 2013, 2013年1月9日, 09 Jan. 2013
  • Phase space path integral as analysis on path space
    Naoto Kumano-go
    RIMS Symposium on Recent development of microlocal analysis and asmyptotic analysis, 24 Oct. 2012
  • 相空間の経路積分－経路空間上の解析として－
    19 Sep. 2012
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    The workshop "Microlocal Analysis, Differential Equations and Related Topics", The University of Tokyo, 02 Aug. 2012
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    Seminar, Yonsei University, Korea, 26 Mar. 2012
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    Seminar, Kyonggi University, Korea, 23 Mar. 2012
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Seminar, Seoul National University of Science and Technology, Korea, 22 Mar. 2012
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    Workshop `Geometric and Singular Analysis', The University of Potsdam, Germany, 16 Mar. 2012
  • 相空間の経路積分－経路空間上の解析
    25 Feb. 2012
  • Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation
    Naoto Kumano-go
    Workshop `Recent Developments in Stochastic Analysis', CIB, EPFL, Lausanne, Switzerland, 2012年1月31日, 31 Jan. 2012
  • 区分的陪特性経路による相空間経路積分ー計算例を中心に
    13 Nov. 2011
  • 区分的陪特性経路による相空間の経路積分－ 計算例を中心に－
    25 Sep. 2011
  • ガウス過程に対する経路積分－時間分割近似法による経路空間上の解析として
    20 Jul. 2011
  • 区分的陪特性経路による相空間Feynman経路積分について
    06 Jul. 2011
  • Phase space Feynman path integrals by time slicing approximation, Part 2
    KUMANO-GO Naoto
    RIMS Joint Research " Introductory Workshop on Feynman Path Integral and Microlocal Analysis ", RIMS, Kyoto University, 24 Jun. 2011
  • Phase space Feynman path integrals by time slicing approximation, Part 1
    KUMANO-GO Naoto
    RIMS Joint Research " Introductory Workshop on Feynman Path Integral and Microlocal Analysis ", RIMS, Kyoto University, 23 Jun. 2011
  • Introduction to Feynman path integrals as analysis on path space by time slicing approximation (3/3)
    Naoto Kumano-go
    Special Lecture, TIFR Centre for Applicable Mathematics, Bangalore, India, 14 Mar. 2011
  • Introduction to Feynman path integrals as analysis on path space by time slicing approximation (2/3)
    Naoto Kumano-go
    Special Lecture, TIFR Centre for Applicable Mathematics, Bangalore, India, 07 Mar. 2011
  • Path integrals for Gaussian processes as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Colloquium, TIFR Centre for Applicable Mathematics, Bangalore, India, 01 Mar. 2011
  • Introduction to Feynman path integrals as analysis on path space by time slicing approximation (1/3)
    Naoto Kumano-go
    Special Lecture, TIFR Centre for Applicable Mathematics, Bangalore, India, 01 Mar. 2011
  • Path integrals for Gaussian processes as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Microlocal day #2, Imperial Analysis Seminar, The Imperial College London, UK, 03 Dec. 2010
  • Path integrals for Gaussian processes as analysis on path space by time slicing approximation
    KUMANO-GO Naoto
    Global COE International Mini-Workshop of the University of Tokyo in 2010 `Microlocal analysis and partial differential equations', The University of Tokyo, 20 Nov. 2010
  • Path integrals for Gaussian processes as analysis on path space by time slicing approximation
    Naoto Kumano-go
    12 Nov. 2010
  • Path integrals for Gaussian processes as analysis on path space by time slicing approximation
    Naoto Kumano-go
    The 10th International Conference `Path integrals 2010', The Howard University, Washington D. C., USA, 2010年7月13日, 13 Jul. 2010
  • ガウス過程に対する経路積分－時間分割近似法による経路空間上の解析として
    26 May 2010
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    Nagoya DE Seminar, Nagoya University, 26 Apr. 2010
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclasscial approximations
    Naoto Kumano-go
    The workshop `Operator on singular spaces', The University of Potsdam, Germany, 2010年3月10日, 10 Mar. 2010
  • Phase space Feynman path integrals via piecewise bicharacteristic paths
    Naoto Kumano-go
    Workshop on Microlocal Analysis and Related Topics, Nihon University, 02 Mar. 2010
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Imperial Analysis Seminar, The Imperial College London, UK, 17 Feb. 2010
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    The meeting `Feynman Path Integrals and Their Applications' 18-19 January 2010, Swansea University, UK, 18 Jan. 2010
  • Feynman 経路積分ー時間分割近似法による経路空間上の解析として
    09 Jan. 2010
  • Phase space Feynman path integrals and their semi-classical approximations
    Naoto Kumano-go
    RIMS Workshop " Microlocal Analysis and Related Topics ", Osaka Umeda Campus, Kwansei Gakuin University, 21 Oct. 2009
  • An introduction to Feynman path integrals by time slicing approximation 1
    KUMANO-GO Naoto
    Seminar on Functional Analysis and Global Analysis, Tokyo University of Science, 05 Oct. 2009
  • An introduction to Feynman path integrals by time slicing approximation 2
    KUMANO-GO Naoto
    Seminar on Functional Analysis and Global Analysis, Tokyo University of Science, 05 Oct. 2009
  • Feynman integrals (4/4)
    Naoto Kumano-go
    Homi Bhabna Birth Centenary Symposium on Hyperbolic Partial Differential Equations and Related Topics, TIFR Centre for Applicable Mathematics, India, 23 Jul. 2009
  • Feynman integrals (3/4)
    Naoto Kumano-go
    Homi Bhabna Birth Centenary Symposium on Hyperbolic Partial Differential Equations and Related Topics, TIFR Centre for Applicable Mathematics, India, 22 Jul. 2009
  • Feynman integrals (2/4)
    Naoto Kumano-go
    Homi Bhabna Birth Centenary Symposium on Hyperbolic Partial Differential Equations and Related Topics, TIFR Centre for Applicable Mathematics, India, 21 Jul. 2009
  • Feyman integral (1/4)
    Naoto Kumano-go
    Homi Bhabna Birth Centenary Symposium on Hyperbolic Partial Differential Equations and Related Topics, TIFR Centre for Applicable Mathematics, India, 20 Jul. 2009
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    NIMS hot topics workshop on Infinite dimensional Analysis and Related Topics, Hannam University, Korea, 24 Jun. 2009
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    KUMANO-GO Naoto
    Seminar on Functional Analysis and Global Analysis, Tokyo University of Science, 16 Feb. 2009
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their,semiclassical approximations
    Naoto Kumano-go
    Special Session on Infinite Dimensional Analysis, Path Integrals and Related Topics, AMS Joint Mathematics Meeting, Washington D. C., USA, 06 Jan. 2009, Tepper Gill, Lance W. Nielsen, Woodford W. Zachary
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their,semiclassical approximations
    Naoto Kumano-go
    The workshop `Decay and regularity for solutions of differential equations and dynamical systems', The University of Cagliari, Italy, 26 Sep. 2008, Scientific Committee: G. Gaeta, D. Gourdin, T. Gramchev, G. Porru, S. Pilipovic, ,S. P. -Vernier, L. Rodino, M. Ruzhansky, M. Sugimoto, S. Walcher
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    20 Jun. 2008
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    26 May 2008
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    Seminar of Physics-Mathematics, The University of Lisbon, Portugal, 19 Mar. 2008
  • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    Naoto Kumano-go
    International Symposium `Function space and Partial Differential Equations', Osaka University, 19 Feb. 2008
  • Feynman 経路積分、時間分割近似法による経路空間上の解析として
    14 Dec. 2007
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Colloquium, Tokyo University of Science, 22 Nov. 2007
  • Feynman 経路積分、時間分割近似法による経路空間上の解析として
    15 Oct. 2007
  • Phase space path integrals and their semiclassical approximations
    Naoto Kumano-go
    The 9th International Conference `Path Integrals - New Trends and Perspectives', Max-Planck-Institute fur physics of complex systems, Dresden, Germany, 25 Sep. 2007
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    KUMANO-GO Naoto
    COE-Seminar of Microloacal Analysis, Keio University, 04 Aug. 2007
  • Path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Path integrals as analysis on path space by time slicing approximation, The 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, 2007年7月18日, 18 Jul. 2007
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    The workshop `Microlocal analysis and harmonic analysis in inverse problems', CIRM, Marseille, France, 29 Mar. 2007
  • 経路積分と準古典近似
    14 Dec. 2006
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go
    The conference `Partial Differential Equations on Noncompact and Singular Manifolds', The University of Potsdam, Germany, 11 Aug. 2006
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Workshop on Inverse Problems, Tsukuba University, 10 Jul. 2006
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go; Daisuke Fujiwara
    The University of Nebraska Lincoln, USA, 13 May 2006
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    10 Mar. 2006
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    07 Mar. 2006
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go
    Seminar, The University of Wales Swansea, United Kingdom, 16 Feb. 2006
  • Feynman path integrals as analysis on path space by time slicing approximation
    Naoto Kumano-go
    Mathematical Physics Seminar, St. Petersburg University, Russia, 17 Oct. 2005
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go
    Stochastic seminar, The University of Bonn, Germany, 18 Aug. 2005
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go
    The 5th ISAAC Congress, The University of Catania, Italy, 28 Jul. 2005
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    The 14th Oporto Meeting on Geometry, Topology and Physics, The University of Porto, Portugal, 22 Jul. 2005
  • Smooth functional derivatives in Feynman path integrals
    Naoto Kumano-go; Daisuke Fujiwara
    The 8th International Conference `Path Integrals: From Quantum Information to Cosmology', Czech Technical University, Prague, Czech Republic, 08 Jun. 2005
  • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    Naoto Kumano-go
    Seminar of Physics-Mathematics, The University of Lisbon, Portugal, 23 Feb. 2005
  • Feynman path integrals as analysis on path space by time slicing approximation
    The workshop `Degenerate PDEs and Singular Geometries', The University of Potsdam, Germany, 17 Aug. 2004
  • Feynman 経路積分と Riemann-Stieltjes 積分の順序交換
    04 Aug. 2003
  • An estimate for Feynman path integrals
    Naoto Kumano-go
    The workshop `Partial Differential Equations', The University of Potsdam, Germany, Aug. 1998

Award

  • Dec. 2015
    Studies on mathematical formulation of Feynman path integrals
    The 7th Hukuhara Prize (2015), Division of Functional Equations, The Mathematical Society of Japan
    Japan society

Research Themes

Member History

  • Sep. 2023 - Aug. 2025
    a member of the editorial board, the Korean Journal of Mathematics
  • Sep. 2021 - Aug. 2023
    a member of editorial board, the Korean Journal of Mathematics
  • Apr. 2017 - Mar. 2023
    Committee Members, Division of Functional Equations, The Mathematical Society of JapanDivision