Researcher Database

Katsunori Iwasaki
Faculty of Science Mathematics Mathematics
Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

    Professor

E-mail

  • iwasaki@math.sci.hokudai.ac.jp

URL

Research Areas

  • Mathematics / Global analysis
  • Mathematics / Basic analysis
  • Mathematics / Geometry
  • Mathematics / Algebra

Research Activities

Published Papers

  • Contiguous relations, Laplace's methods, and continued fractions for 3F2(1)
    Akihito Ebisu, Katsunori Iwasaki
    The Ramanujan Journal DOI:10.1007/s11139-018-0039-2 55 pages  2018/09 [Refereed][Not invited]
     Research paper (scientific journal)
  • Three term relations for 3F2(1)
    Akihito Ebisu, Katsunori Iwasaki
    Journal of Mathematical Analysis and Applications 463 (2) 593 - 610 2018 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hypergeometric series with gamma product formula
    Katsunori Iwasaki
    Indagationes Mathematicae 28 (2) 463 - 493 2017 [Refereed][Not invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki, Shu Okada
    Journal of the Mathematical Society of Japan 68 (3) 961 - 974 2016 [Refereed][Not invited]
     Research paper (scientific journal)
  • Around hypergeometric identities
    Katsunori Iwasaki, Akihito Ebisu
    Rokko Lectures in Mathematics 24 119 - 158 2016 [Not refereed][Invited]
     Research paper (research society, symposium materials, etc.)
  • Isolated Periodic solutions to Painleve VI equation
    Katsunori Iwasaki, Takato Uehara
    RIMS Kokyuroku Bessatsu B37 69 - 79 2013 [Refereed][Invited]
     Research paper (scientific journal)
  • On algebraic solutions to Painleve VI
    Katsunori Iwasaki
    RIMS Kokyuroku Bessatsu B37 49 - 67 2013 [Refereed][Invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki
    Journal of Combinatorial Theory, Series A 119 (6) 1216 - 1234 2012 [Refereed][Not invited]
     Research paper (scientific journal)
  • Iwasaki Katsunori
    RIMS Kokyuroku 数理解析研究所講究録 1699 (0) 160 - 167 18802818 2010/07 [Not refereed][Not invited]
  • Katsunori Iwasaki, Takato Uehara
    Mathematische Zeitschrift 266 (2) 289 - 318 2010 [Refereed][Not invited]
     Research paper (scientific journal)
  • Iwasaki Katsunori
    RIMS Kokyuroku 数理解析研究所講究録 1662 (0) 136 - 147 18802818 2009/08 [Not refereed][Not invited]
  • Katsunori Iwasaki
    Advances in Mathematics 217 (5) 1889 - 1934 2008 [Refereed][Not invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki
    Algebraic Analysis of Differential Equations, Springer-Verlag 143 - 156 2007 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Katsunori Iwasaki, Takato Uehara
    Mathematische Annalen 338 (2) 295 - 345 2007 [Refereed][Not invited]
     Research paper (scientific journal)
  • Chaos in the sixth Painleve equation
    Katsunori Iwasaki, Takato Uehara
    RIMS Kokyuroku Bessatsu B2 73 - 88 2007 [Refereed][Invited]
     Research paper (scientific journal)
  • Dynamics of the sixth Painleve equation
    Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    Seminaires et Congres 14 103 - 167 2006 [Refereed][Invited]
     Research paper (international conference proceedings)
  • Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painleve equations of type VI, Part II
    Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    Advanced Studies in Pure Mathematics 45 387 - 432 2006 [Refereed][Not invited]
     Research paper (scientific journal)
  • Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    Publications of Research Institute for Mathematical Sciences 42 (4) 987 - 1089 2006 [Refereed][Not invited]
     Research paper (scientific journal)
  • Yuso Maruyama, Katsunori Iwasaki
    Annals of the institute of Statistical Mathematics 57 (1) 145 - 156 2005 [Refereed][Not invited]
     Research paper (scientific journal)
  • Backlund transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence
    Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    International Mathematics Research Notices 2004 (1) 1 - 30 2004 [Refereed][Not invited]
     Research paper (scientific journal)
  • An area-preserving action of the modular group on cubic surfaces and Painleve VI equation
    Katsunori Iwasaki
    Communications in Mathematical Physics 242 (1-2) 185 - 219 2003 [Refereed][Not invited]
     Research paper (scientific journal)
  • Isolated singularity, Witten's Laplacian and duality for twisted de Rham cohomology
    Katsunori Iwasaki
    Communications in Partial Differential Equations 28 (1-2) 61 - 82 2003 [Refereed][Not invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki
    Journal of the Mathemtical Society of Japan 55 (2) 289 - 321 2003 [Refereed][Not invited]
     Research paper (scientific journal)
  • IWASAKI K.
    Proceedings of the Japan Academy. Ser. A, Mathematical Sciences Proceedings of the Japan Academy. Ser. A, Mathematical Sciences 78 (7) 131 - 135 03862194 2002/09 [Not refereed][Not invited]
  • Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura
    Journal of Physics, A: Mathematical and General 35 207 - 211 2002/04 [Refereed][Not invited]
     Research paper (scientific journal)
  • Polynomial invariants and harmonic functions related to exceptional regular polytopes
    Katsunori Iwasaki, Atsufumi Kenma, Keiji Matsumoto
    Experimental Mathematics 11 (2) 313 - 319 2002 [Refereed][Not invited]
     Research paper (scientific journal)
  • Iwasaki Katsunori
    RIMS Kokyuroku 数理解析研究所講究録 1212 (0) 1 - 17 1880-2818 2001/06 [Not refereed][Not invited]
  • Iwasaki Katsunori, Kamimura Yutaka
    RIMS Kokyuroku 数理解析研究所講究録 1216 (0) 115 - 127 1880-2818 2001/06 [Not refereed][Not invited]
  • Inverse bifurcation problem, singular Wiener-Hopf equations and mathematical models in ecology
    Katsunori Iwasaki,Yutaka Kamimura
    Journal of Mathematical Biology 43 (2) 101 - 143 2001 [Refereed][Not invited]
     Research paper (scientific journal)
  • Intersection matrix of generalized Airy functions in terms of skew-Schur polynomials
    Katsunori Iwasaki, Keiji Matsumorto
    Proceedings of the Japan Academy, Series A 76 135 - 140 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • Polytopes, invariants and harmonic functions
    Katsunori Iwasaki
    Advanced Studies in Pure Mathematics 27 145 - 156 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • Recent progress in polyhedral harmonics
    Katsunori Iwasaki
    Acta Applicandae Mathematicae 60 (2) 179 - 197 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • Iwasaki Katsunori
    RIMS Kokyuroku 数理解析研究所講究録 1090 (0) 110 - 115 1880-2818 1999/04 [Not refereed][Not invited]
  • Iwasaki Katsunori, kamimura Yutaka
    RIMS Kokyuroku 数理解析研究所講究録 1083 (0) 207 - 218 1880-2818 1999/02 [Not refereed][Not invited]
  • Twisted homology of the configuration space of n-points with applications to hypergeometric functions
    Katsunori Iwasaki, Michitake Kita
    Kumamoto Journal of Mathematics 12 9 - 72 1999 [Refereed][Not invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki, Yutaka Kamimura
    Journal of Integral Equations and Applications 11 (4) 461 - 499 1999 [Refereed][Not invited]
     Research paper (scientific journal)
  • Invariants of finite reflection groups and the mean value problems for polytopes
    Katsunori Iwasaki
    Bulletin of the London Mathematical Society 31 477 - 483 1999 [Refereed][Not invited]
     Research paper (scientific journal)
  • Triangle mean value property
    Katsunori Iwasaki
    Aequationes Mathematicae 57 206 - 220 1999 [Refereed][Not invited]
     Research paper (scientific journal)
  • A combinatorial formula of Leibniz type with application to Gegenbauer's polynomials
    Katsunori Iwasaki, Hiroyuki Kawamuko
    Proceedings of the American Mathematical Society 127 29 - 33 1999 [Refereed][Not invited]
     Research paper (scientific journal)
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 数理解析研究所講究録 984 (0) 96 - 103 1880-2818 1997/03 [Not refereed][Not invited]
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 数理解析研究所講究録 983 (0) 14 - 21 1880-2818 1997/03 [Not refereed][Not invited]
  • Basic invariants of finite reflection groups
    Katsunori Iwasaki
    Journal of Algebra 195 538 - 547 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • Regular simplices, symmetric polynomials and the mean value property
    Katsunori Iwasaki
    Journal d'Analyse Mathematique 72 279 - 298 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • Asymptotic analysis for linear difference equations
    Katsunori Iwasaki
    Transactions of the American Mathematical Society 349 (10) 4017 - 4142 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • Katsunori Iwasaki, Yutaka Kamimura
    Inverse Problems 13 (4) 1015 - 1031 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • Polytopes and the mean value property
    Katsunori Iwasaki
    Discrete & Computational Geometry 17 (2) 163 - 189 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • Exterior power structure on the twisted de Rham cohomology of the complements of real Veronese arrangements
    Katsunori Iwasaki, Michitake Kita
    Journal de Mathematiques Pures et Appliquees 75 (1) 69 - 84 1995 [Refereed][Not invited]
     Research paper (scientific journal)
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 数理解析研究所講究録 878 (0) 64 - 74 1880-2818 1994/06 [Not refereed][Not invited]
  • ISAWAKI KATSUNORI
    RIMS Kokyuroku 数理解析研究所講究録 878 (0) 75 - 78 1994/06 [Not refereed][Not invited]
  • On dynamical system on matrix algebra
    Katsunori Iwasaki
    Journal of Dynamics and Differential Equations 6 (4) 671 - 711 1994 [Refereed][Not invited]
     Research paper (scientific journal)
  • Geometry of Fuchsian moduli spaces
    Katsunori Iwasaki
    Geometry, Topology and Field Theory, World Scientific Publishers 39 - 47 1994 [Refereed][Invited]
     Research paper (international conference proceedings)
  • Fuchsian moduli on a Riemann surface -- its Poisson structure and Poincare-Lefschetz duality
    Katsunori Iwasaki
    Pacific Journal of Mathematics 155 319 - 340 1992 [Refereed][Not invited]
     Research paper (scientific journal)
  • On solutions of the Poincare equations
    Katsunori Iwasaki
    Proceedings of the Japan Academy, Series A 67 (6) 211 - 214 1991 [Refereed][Not invited]
     Research paper (scientific journal)
  • Moduli and deformations for Fuchsian projective connections on a Riemann surface
    Katsunori Iwasaki
    Journal of Faculty of Sciences, University of Tokyo, Section IA, Mathematics 38 (3) 431 - 531 1991 [Refereed][Not invited]
     Research paper (scientific journal)
  • IWASAKI Katsunori
    RIMS Kokyuroku 数理解析研究所講究録 683 (0) 9 - 31 1880-2818 1989/03 [Not refereed][Not invited]
  • On the Riemann-Hilbert-Birkhoff problem for ordinary differential equations containing a parameter
    Katsunori Iwasaki
    Journal of Faculty of Science, University of Tokyo, Section IA, Mathematics 35 (2) 251 - 312 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • Riemann function of harmonic equations and Appell's F4
    Katsunori Iwasaki
    SIAM Journal of Mathematical Analysis 19 (4) 902 - 917 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • Scattering theory for fourth order differential operators I
    Katsunori Iwasaki
    Japanese Journal of Mathematics 14 (1) 1 - 57 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • Scattering theory for fourth order differential operators II
    Katsunori Iwasaki
    Japanese Journal of Mathematics 14 (1) 59 - 97 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • On the inverse Sturm-Liouville problem with spatial symmetry
    Katsunori Iwasaki
    Funkcialaj Ekvacioj 31 (1) 25 - 74 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • Inverse problem for Sturm-Liouville and Hill equations
    Katsunori Iwasaki
    Annali di Matematica Pures ed Applicata 149 (4) 185 - 206 1987 [Refereed][Not invited]
     Research paper (scientific journal)

Conference Activities & Talks

  • Discrete steepest descent method and Gauss continued fraction  [Not invited]
    Katsunori Iwasaki
    Workshop on accessary parameters   2019/03
  • Discrete saddle point method for hypergeometric functions and its applications  [Invited]
    Katsunori Iwasaki
    Around differential equations and inverse problems  2019/03
  • Hypergeometric series with gamma product formula  [Invited]
    Katsunori Iwasaki
    International Conference on Partial Differential Equations: General Theory and Variational Problems, Costabella Tropical Beach Hotel, Cebu, Philippines  2015/01
  • On an orbifold Hamiltonian structure for the first Painleve equation  [Not invited]
    Shu Okada, Katsunori Iwasaki
    International relation of young researchers in algebra and related fields, The 16th SNU-HU Joint Symposium, Seoul National University, Seoul, Korea  2013/12
  • Algebraic analysis of the sixth Painleve equation  [Invited]
    Katsunori Iwasaki
    The 4th Workshop on Hamiltonian systems and related topics, Niigata University Satellite Campus ``Tokimeito"  2010/10
  • Periodic solutions to Painleve VI  [Invited]
    Katsunori Iwasaki
    Journees Franco-Japonaises en honneur de Kazuo Okamoto: autour de Equations de Painleve, IRMA, Universite Louis Pasteur, Strasbourg, France  2008/11
  • Painleve VI: from algebraic geometry to elementary geometry,  [Invited]
    Katsunori Iwasaki
    International Conference ``From Painleve to Okamoto", University of Tokyo  2008/06
  • Finite orbits on character varieties and algebraic solutions to Painleve VI  [Invited]
    Katsunori Iwasaki
    IRMAR, Universite de Rennes 1, France  2008/03
  • Area-preserving surface dynamics and S.Saito's fixed point formula  [Invited]
    Katsunori Iwasaki, Takato Uehara
    Differential Equations and Exact WKB Analysis, RIMS, Kyoto University  2007/10
  • Geometry of Painleve equations  [Invited]
    Katsunori Iwasaki
    Geometry related to the theory of integrable systems, RIMS-OCAMI Project, Kyoto Universit  2007/09
  • Ergodic theory of Painleve foliation  [Invited]
    Katsunori Iwasaki
    Birational automorphisms of compact complex manifolds and dynamical systems, Nagoya University  2007/08
  • The sixth Painleve equation: a chaotic dynamical system  [Invited]
    Katsunori Iwasaki
    The Painleve Equations and Monodromy Problems: Recent Developments, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK  2006/09
  • An ergodic study of Painleve VI  [Invited]
    Katsunori Iwasaki, Takato Uehara
    Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies, Japanese-French Symposium, RIMS at Kyoto  2006/05
  • Bounded trajectories in the sixth Painleve dynamics  [Invited]
    Katsunori Iwasaki
    International Conference on Algebraic Analysis of Differential Equations, RIMS and Clock Tower, Kyoto University  2005/07
  • Dynamics of the sixth Painleve equation  [Invited]
    Katsunori Iwasaki
    International Conference on Theories Asymptotiques et Equations de Painleve,Universite d'Angers,Angers,France  2004/06
  • Geometry of isomonodromic deformations  [Invited]
    Katsunori Iwasaki
    International Conference on Geometry of Moduli Spaces and Integrable Systems, RIMS at Kyoto University  2001/09
  • Inverse bifurcation problems and singular multiplicative Wiener-Hopf equations  [Invited]
    Katsunori Iwasaki
    Inverse and Direct Problems and Applications, Gargnano, Italy  1999/04
  • Polyhedral harmonic functions and invariant theory  [Not invited]
    Katsunori Iwasaki
    ICM'98, Berlin, Germany  1998/08
  • Polytopes, invariants, and harmonic functions  [Invited]
    Katsunori Iwasaki
    Workshop on mathematics related to arrangements of hyperplanes, Tokyo Metropolytan University  1998/07
  • Cohomology groups for recurrence relations with applications to hypergeometric systems  [Invited]
    Katsunori Iwasaki
    Complex analysis and microlocal analysis, RIMS, Kyoto  1997/12
  • Polyhedral harmonics  [Invited]
    Katsunori Iwasaki
    Equadiff 9, Masaryk University, Brno, Czech  1996/11
  • Polytopes and the mean value property  [Invited]
    Katsunori Iwasaki
    Harmonic analysis session, ISAAC 97, Delaware University, U.S.A  1996/09
  • Cohomology groups for recurrence relations  [Invited]
    Katsunori Iwasaki
    Colloquium at Universite Paris VI, Paris, France,  1995/01
  • Moduli and deformation for differential equations  [Invited]
    Katsunori Iwasaki
    Complex analytic geometry and related topics, RIMS, Kyoto,  1991/09
  • Fuchsian moduli on Riemann surfaces  [Invited]
    Katsunori Iwasaki
    AMS conference on meromorphic differential equations, Portland State Univ., Portland, U.S.A.  1991/06
  • Completely integrable Hamiltonian systems arising from monodromy preserving deformation  [Invited]
    Katsunori Iwasaki
    Norguet seminar on several complex variables, Universite Paris VII  1990/06
  • Moduli and deformation for meromorphic differential equations  [Invited]
    Katsunori Iwasaki
    Phenomes de Stokes et resurgences, C.I.R.M., Universite de Marseille  1990/04
  • Moduli space of Fuchsian projective connections on a Riemann surface and monodromy preserving deformation  [Invited]
    Katsunori Iwasaki
    日本数学会秋季総合分科会 特別講演  1989/09
  • Monodromy preserving deformation for Fuchsian projective connections on a Riemann surface  [Invited]
    Katsunori Iwasaki
    Die Gewohnlichen Differentialgleichungen und spetial Funktionen,  1989/04
  • Local systems and dynamical sysytems on the configuration space of points  [Invited]
    Katsunori Iwasaki
    Colloquium at Universitat Ulm, Germany  1989/04
  • Asymptotic analysis for differential equations containing a large parameter  [Invited]
    Katsunori Iwasaki
    Taniguchi Symposium on differential equations in the complex domain  1987/08

Educational Activities

Teaching Experience

  • Basic Geometry
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 曲線と曲面の幾何学
  • Studies on Basic Geometry
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 曲線と曲面の幾何学
  • Calculus I
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 数列, 収束, 関数, 極限, 微分, 偏微分, テイラ-の定理
  • Calculus II
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 原始関数, 積分, 重積分, リ-マン和, 変数変換


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