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Researcher Information

last modified：2024/11/22

Professor　Shigeki Matsutani

Faculty, Affiliation

Faculty of Electrical, Information and Communication Engineering,Institute of Science and Engineering

College and School Educational Field

Division of Electrical Engineering and Computer Science, Graduate School of Natural Science and Technology
Division of Electrical Engineering and Computer Science, Graduate School of Natural Science and Technology
Course in Electrical and Electronic Engineering, School of Electrical, Information and Communication Engineering, College of Science and Engineering

Laboratory

Academic Background

【Academic background(Doctoral/Master's Degree)】
Shizuoka University　Master　Physics　198803　Completed
【Academic background(Bachelor's Degree)】
Shizuoka University　Department of Physics　198603
【Degree】
Doctor of Science

Career

Canon Inc.(1988/04/01-2015/03/31)
National Institute of Technology, Sasebo College　Professor(2015/04/01-2019/03/31)

Year & Month of Birth

Academic Society


Award

Specialities

Basic analysis

Speciality Keywords

Research Themes

Books

  • 　Shigeki Matsutani, Jiryo Komeda, Edited by Ron Donagi,Tony Shaska　Integrable Systems and Algebraic Geometry Volume 2　Cambridge University Press　2020/04/02

Papers

  • 　Addition formulae for Abelian functions associated with specialized curves　J. C. Eilbeck,S. Matsutani,Y. Onishi　PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES　369　1939　1245　2011/03
  • 　Jacobi inversion on strata of the Jacobian of the C-rs curve y(r) = f(x)　Shigeki Matsutani,Emma Previato　JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN　60　4　1009　2008/10　
  • 　Generalized Weierstrass relations and Frobenius reciprocity　Shigeki Matsutani　MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY　9　4　353　2006/11
  • 　Sigma functions for a space curve of type (3,4,5)　Shigeki Matsutani,Jiryo Komeda　Journal of Geometry and Symmetry in Physics　30　75　2013　
  • 　Quantum field theory on curved low-dimensional space embedded in three-dimensional space　Shigeki Matsutani　Physical Review A　47　1　686　1993

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  • 　Quasi-periodic and periodic solutions of the toda lattice via the hyperelliptic sigma function　Yuji Kodama,Shigeki Matsutani,Emma Previato　Annales de l'Institut Fourier　63　2　655　2013
  • 　A class of solutions of the dispersionless KP equation　Shigeki Matsutani,Emma Previato　PHYSICS LETTERS A　373　34　3001　2009/08
  • 　REALITY CONDITIONS OF LOOP SOLITONS GENUS g: HYPERELLIPTIC AM FUNCTIONS　Shigeki Matsutani　ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS　2007
  • 　Mathematics in Elastica : From the Studies of Bernoulli and Euler to Current Ones　Matsutani Shigeki　Bulletin of the Japan Society for Industrial and Applied Mathematics　13　1　48　2003/03
  • 　Fractal structure of equipotential curves on a continuum percolation model　Shigeki Matsutani,Yoshiyuki Shimosako,Yunhong Wang　PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS　391　23　5802　2012/12
  • 　Quantum mechanics of a particle in a ballistic Corbino ring with finite-potential barriers　A Suzuki,S Matsutani　NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS　111　5　593　1996/05
  • 　ESTIMATION OF CENTRIFUGAL-FORCE EFFECT ON RESIST COAT AROUND WAFER EDGES　S MATSUTANI,S UZAWA　JAPANESE JOURNAL OF APPLIED PHYSICS PART 2-LETTERS　31　4A　L429　1992/04　
  • 　The Relation between the Modified Korteweg-de Vries Equation and an Anomaly of the Dirac Field on a Thin Elastic Rod : Particles and Fields　Shigeki MATSUTANI　Progress of theoretical physics = Progress of theoretical physics　91　5　1005　1994/05/25　
  • 　Multiple-scattering Model of Surface-conduction Electron Emitters　ASAI A.　SID' 97 Tech. Digest　127　1997/04
  • 　Statistical mechanics of non-stretching elastica in three-dimensional space　S Matsutani　JOURNAL OF GEOMETRY AND PHYSICS　29　3　243　1999/02
  • 　NUMERICAL COMPUTATIONS OF CONDUCTIVITY IN CONTINUUM PERCOLATION FOR OVERLAPPING SPHEROIDS　Shigeki Matsutani,Yoshiyuki Shimosako,Yunhong Wang　INTERNATIONAL JOURNAL OF MODERN PHYSICS C　21　6　709　2010/06
  • 　A generalized Kiepert formula for C (ab) curves　Shigeki Matsutani,Emma Previato　ISRAEL JOURNAL OF MATHEMATICS　171　1　305　2009/06　
  • 　Hopping conductivity associated with activation energy in disordered carbons　S Matsutani,A Suzuki　PHYSICS LETTERS A　216　1-5　178　1996/06
  • 　Sheaf-theoretic investigation of CIP-method　Shigeki Matsutani　APPLIED MATHEMATICS AND COMPUTATION　217　2　568　2010/09
  • 　Gauss optics and Gauss sum on an optical phenomena　Shigeki Matsutani　FOUNDATIONS OF PHYSICS　38　8　758　2008/08
  • 　Dynamics of Electrons in a Half-Space with Cylindrical Electro-Static Field　S. Matsutani,M. Okuda,A. Asai　Japan Journal of Industrial and Applied Mathematics　18　3　777　2001
  • 　Apparent metal-insulator transition in disordered carbon fibers　S Matsutani,A Suzuki　PHYSICAL REVIEW B　62　21　13812　2000/12
  • 　Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties　J. C. Eilbeck,V. Z. Enolski,S. Matsutani,Y. Onishi,E. Previato　JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK　619　37　2008/06
  • 　Relations in a quantized elastica　Shigeki Matsutani　JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL　41　7　075201　2008/02　
  • 　Surface Tension of Multi-phase Flow with Multiple Junctions Governed by the Variational Principle　Shigeki Matsutani,Kota Nakano,Katsuhiko Shinjo　MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY　14　3　237　2011/09
  • 　The al function of a cyclic trigonal curve of genus three　Shigeki Matsutani,Emma Previato　Collectanea Mathematica　66　3　311　2015/09　
  • 　Algebraic Construction of the Sigma Function for General Weierstrass Curves　Jiryo Komeda,Shigeki Matsutani,Emma Previato　Mathematics (MDPI)　10　16　3010　2022/08/20　
  • 　On Λ-elastica　Matsutani, Shigeki,Nishiguchi, Hiroshi,Higashida, Kenji,Nakatani, Akihiro,Hamada, Hiroyasu　JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS　54　13　2019
  • 　New theory of diffusive and coherent nature of optical wave via a quantum walk　Yusuke Ide,Norio Konno,Shigeki Matsutani,Hideo Mitsuhashi　ANNALS OF PHYSICS　383　164　2017/08　
  • 　On homogenized conductivity and fractal structure in a high contrast continuum percolation model　Shigeki Matsutani,Yoshiyuki Shimosako　APPLIED MATHEMATICAL MODELLING　39　23-24　7227　2015/12
  • 　Jacobi inversion on strata of the Jacobian of the C-rs curve y(r) = f(x), II　Shigeki Matsutani,Emma Previato　JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN　66　2　647　2014/04　
  • 　Measuring agglomeration of agglomerated particles pictures　Matsutani Shigeki,Shimosako Yoshiyuki　JMI : journal of math-for-industry　5　B　83　2013/08　
  • 　Numerical computations of conductivity over agglomerated continuum percolation models　Shigeki Matsutani,Yoshiyuki Shimosako,Yunhong Wang　APPLIED MATHEMATICAL MODELLING　37　6　4007　2013/03
  • 　Mathematics in caging of robotics　Hiroyasu Hamada,Satoshi Makita,Shigeki Matsutani　Journal of Geometry and Symmetry in Physics　44　55　2017　
  • 　The Riemann constant for a non-symmetric Weierstrass semigroup　Jiryo Komeda,Shigeki Matsutani,Emma Previato　ARCHIV DER MATHEMATIK　107　5　499　2016/11　
  • 　The sigma function for weierstrass semigroups 〈3, 7, 8〉 and 〈6, 13, 14, 15, 16〉　Jiryo Komeda,Shigeki Matsutani,Emma Previato　International Journal of Mathematics　24　11　1350085　2013/10　
  • 　Relationship between the prime form and the sigma function for some cyclic (r, s) curves　John Gibbons,Shigeki Matsutani,Yoshihiro Onishi　JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL　46　17　1　2013/05　
  • 　A novel discrete investigation of screw dislocations in the BCC crystal lattice　Shigeki Matsutani　Mathematics & Mechanics of Complex Systems　9　1　1　2021/07　
  • 　From Euler's elastica to the mKdV hierarchy, through the Faber polynomials　Shigeki Matsutani,Emma Previato　JOURNAL OF MATHEMATICAL PHYSICS　57　8　2016/08　
  • 　An algebro-geometric model for the shape of supercoiled DNA　Shigeki Matsutani,Emma Previato　Physica D: Nonlinear Phenomena　430　133073　2022/02　
  • 　Trigonal Toda Lattice Equation　Shigeki Matsutani　Journal of Nonlinear Mathematical Physics　27　4　697　2020/10/01　
  • 　An algebraic description of screw dislocations in SC and BCC crystal lattices　Hiroyasu Hamada,Shigeki Matsutani,Junichi Nakagawa,Osamu Saeki,Masaaki Uesaka　Pacific Journal of Mathematics for Industry　10:3　1　2018/08　
  • 　Jacobi Inversion Formulae for a Curve in Weierstrass Normal Form　J. Komeda,S. Matsutani　Integrable Systems and Algebraic Geometry　383　2020/03/31　
  • 　The function of a cyclic trigonal curve of genus three　Shigeki Matsutani,Emma Previato　COLLECTANEA MATHEMATICA　66　3　311　2015/09
  • 　Complementary Modules of Weierstrass Canonical Forms　Jiryo Komeda,Shigeki Matsutani,Emma Previato　Symmetry, Integrability and Geometry: Methods and Applications　2022/12/18　
  • 　The sigma function for trigonal cyclic curves,　J. Komeda,S. Matsutani,E. Previato　Lett. Math. Phys.　109　2　423　2018/12　
  • 　A novel conductivity mechanism of highly disordered carbon systems based on an investigation of graph zeta function　Shigeki Matsutani,Iwao Sato　PHYSICS LETTERS A　381　36　3107　2017/09　
  • 　Periodic and quasi-periodic solutions of Toda latticevia hyperelliptic σ functions　Matsutani, Shigeki　RIMS Kôkyûroku Bessatsu　B78　155　2020/04　
  • 　The partial differential coefficients for the second weighted Bartholdi zeta function of a graph Discrete Mathematics　S. Matsutani, H. Mitsuhashi, H. Morita and I. Sato　Discrete Mathematics　342　9　2647-2663　2019/09/01

Conference Presentations

  • "Advanced mathematical investigation on electric conductivity of highly disordered carbon systems associated with percolation and graph zeta function". The 9th. MathAM-OIL Seminar(conference：産総研・東北大数理先端材料モデリングオープンイノベーションラボラトリ)(2017/10/06)
  • Tales of Elastica/ Linear Systems associated with Hyperelliptic Curves(conference：Seminar in Concordia University)(2004)
  • Abelian functions of a curve given by Weierstrass normal form: Jacobi inversion formulae and sigma of singular curves. Workshop: Algebraic Curves, Integrable Systems, and Cryptography(conference：National University of Kyiv-Mohyla Academy)(2018/08/24)
  • Affine Plane Curves and their Algebraic Functions(conference：Math and Computer Science)(2009)
  • Submanifold Dirac operators, generalized Weierstrass relations and their local indextheorem(conference：立命館大学幾何学セミナー)(2017/09/28)

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  • “Sigma function of y3 = x2(x - b1)(x - b2)”Branched Covering, Degeneration and Related Topics 2018(conference：広島大学大学院理学研究科)(2018/03/05)
  • Quantized Elastica as Curve Flows(conference：Workshop \Curve flows and integrable systems)(2012)
  • Weierstrass al functions and their applications(conference：International Conference \Integrable Systems, Geometry, and Abelian Functions" .)(2005)
  • Affine Plane Curves and their Algebraic Functions(conference：Mathematical Seminar for Prof. J. McKay)(2008)
  • Modern Mathematics in Materials Science(2020/12/20)
  • Truncated Young diagrams and sigma functions(conference：International Conference on the Jacobian varieties, Abelian functions, and Kummer surfaces)(2012)
  • On a Quantization of a Geometrical Object, Elastica(conference：International Workshop \Algebro-geometric methods in Gauge theory and General Relativity")(2011)
  • Submanifold Dirac Operator and Generalized Weierstrass Relation(conference：偏微分方程式姫路研究集会)(2016/03/02)
  • Jacobi inversion formulae for a trigonal curve y3 = x2k(x)(conference：日本数学会)(2016/09/16)
  • Sigma Functions over Affine Plane Curves and their Jacobi Inversion Formulae(conference：第 7 回 代数曲線シンポジュウム)(2009)
  • MKdV-flow and Statistical Mechanics of Elastica.(conference：応用数理学会 応用可積分系)(2016/09/13)
  • Jacobi inversion and addition structure on strata of the Jacobian of an affine plane curve yr = f(x)(conference：International Conference \Concrete theory of Abelian functions and its applications)(2008)
  • Submanifold Dirac operators based on the submanifold quantum mechanics(conference：RIMS Research Project 2020 RIMS Symposium The 4th International Workshop Ge- ometry of Submanifolds and Integrable Systems)(2022/02/21)
  • Difference-Difference Lotka-Volterra equation in p-adic number space(conference：International Conference on Symmetries and Integrability of Difference Equations (SIDE?） （東京大学数理科学研究科）)(2000)
  • On σ function for the curve, y3 = x(x - s)(x - b1)(x - b2) and its limit of s ! 0(conference：日本数学会 函数論)(2018/09/23)
  • Mathematics in Euler’s Elastica and beyond it(conference：Applied Mathematial Seminar in Math and Computer Science OSU)(2009)
  • Jacobi inversion formulae for a compact Riemann surface via Weierstrass normal form(conference：日本数学会 函数論)(2018/09/23)

Others

  • 　On relations between sales of midnight biiyile raies in SASEBO Keirin and jobs of purihasers　MAEDA, Ryuji,MATSUTANI, Shigeki,HAMADA, Hiroyasu　佐世保工業高等専門学校研究報告 = RESEARCH REPORTS OF NATIONAL INSTITUTE OF TECHNOLOGY，SASEBO COLLEGE　55　42　2019/01/31
  • 　Collisions of Hard Sphere Chain and Cyclotomic Polynomial　Ishiwata S,Matsutani S　Meeting Abstracts of the Physical Society of Japan　1996　0　118　1996
  • 　MKdV Equation and Submanifold Quantum Mechanics　MATSUTANI Shigeki　Soryushiron Kenkyu Electronics　94　1　A72　1996
  • 　MKdV Equation and Submanifold Quantum Mechanics　MATSUTANI Shigeki　物性研究　67　3　355　1996/12

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「代数曲線のσ関数の新展開とその可積分系への応用」(2021-2025)　
○「数学イノベーションに貢献する高度数学人材の育成を目指した産学協働教育に関する研究」(2019-2021)　

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Theory of Vector Analysis and Exercise(2022)
○Theory of Vector Analysis and Exercise(2022)
○Theory of Vector Analysis and Exercise(2022)
○Theory of Vector Analysis and Exercise(2022)
○Theory of Vector Analysis and Exercise(2022)
○Theory of Vector Analysis and Exercise(2022)
○Linear Algebra 2B(2022)
○Linear Algebra 2B(2022)
○Linear Algebra 2A(2022)
○Linear Algebra 2A(2022)
○Linear Algebra 2(2021)
○Theory of Vector Analysis and Exercise(2021)
○Theory of Vector Analysis and Exercise(2020)
○Linear Algebra 2B(2020)
○Linear Algebra 2A(2020)
○Linear Algebra 2B(2020)
○Linear Algebra 2A(2020)

Classes (Graduate Schools)

○Nonlinear Wave Equation B(2022)
○Nonlinear Wave Equation A(2022)
○Mathematical/Nanomaterial Science and Engineering(2022)
○Algebraic Function Theory(2021)
○Nonlinear Wave Equation A(2021)
○Nonlinear Wave Equation B(2021)
○Nonlinear Wave Equation A(2020)
○Nonlinear Wave Equation B(2020)
○Algebraic Function Theory(2020)

International Project

International Students

Lecture themes

Others (Social Activities)

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