Researcher Database

Katsunori Iwasaki
Faculty of Science Mathematics Mathematics
Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

  • Professor

J-Global ID

Research Interests

  • 超幾何関数   パンルヴェ方程式   リーマン・ヒルベルト対応   モジュライ空間   複素力学系   非線形モノドロミー   力学系   ガルニエ系   エアリー関数   三次曲面   逆分岐問題   ベックルント変換   カオス   差分方程式   パンルベ方程式   変分問題   ベックルント変換群   コホモロジー群   捩れコホモロジー群   特異積分方程式   多面体   エルゴード理論   指標多様体   モデュライ理論   安定放物型接続   多面体調和関数   ウィナー・ホップ方程式   安定放物接続   エントロピー   逆問題   

Research Areas

  • Natural sciences / Mathematical analysis
  • Natural sciences / Basic analysis
  • Natural sciences / Geometry
  • Natural sciences / Algebra

Academic & Professional Experience

  • 2011 - 2012 北海道大学 理学(系)研究科(研究院) 教授

Research Activities

Published Papers

  • Duality and reciprocity for hypergeometric series with a gamma product formula
    Katunori Iwasaki
    Kyushu Journal of Mathematics 73 (2) 251 - 294 2019/08 [Refereed][Not invited]
  • Contiguous relations, Laplace's methods, and continued fractions for 3F2(1)
    Akihito Ebisu, Katsunori Iwasaki
    The Ramanujan Journal 49 (1) 159 - 213 2019 [Refereed][Not invited]
  • Three term relations for 3F2(1)
    Akihito Ebisu, Katsunori Iwasaki
    Journal of Mathematical Analysis and Applications 463 (2) 593 - 610 2018 [Refereed][Not invited]
  • Katsunori Iwasaki
    INDAGATIONES MATHEMATICAE-NEW SERIES 28 (2) 463 - 493 0019-3577 2017/04 [Refereed][Not invited]
     
    We consider non-terminating Gauss hypergeometric series with one free parameter. Using various properties of hypergeometric functions we obtain some necessary conditions of arithmetic flavor for such series to admit gamma product formulas. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
  • Katsunori Iwasaki, Shu Okada
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 68 (3) 961 - 974 0025-5645 2016/07 [Refereed][Not invited]
     
    For the first Painleve equation we establish an orbifold polynomial Hamiltonian structure on the fibration of Okamoto's spaces and show that this geometric structure uniquely recovers the original Painleve equation, thereby solving a problem posed by K. Takano.
  • Around hypergeometric identities
    Katsunori Iwasaki, Akihito Ebisu
    Rokko Lectures in Mathematics 24 119 - 158 2016 [Not refereed][Invited]
  • On algebraic solutions to Painleve VI
    Katsunori Iwasaki
    RIMS Kokyuroku Bessatsu B37 49 - 67 2013 [Refereed][Invited]
  • Isolated Periodic solutions to Painleve VI equation
    Katsunori Iwasaki, Takato Uehara
    RIMS Kokyuroku Bessatsu B37 69 - 79 2013 [Refereed][Invited]
  • Katsunori Iwasaki
    JOURNAL OF COMBINATORIAL THEORY SERIES A 119 (6) 1216 - 1234 0097-3165 2012/08 [Refereed][Not invited]
     
    The functions satisfying the mean value property for an n-dimensional cube are determined explicitly. This problem is related to invariant theory for a finite reflection group, especially to a system of invariant differential equations. Solving this problem is reduced to showing that a certain set of invariant polynomials forms an invariant basis. After establishing a certain summation formula over Young diagrams, the latter problem is settled by considering a recursion formula involving Bernoulli numbers. (C) 2012 Elsevier Inc. All rights reserved.
  • 岩崎 克則
    数理解析研究所講究録 京都大学 1731 (0) 1 - 13 1880-2818 2011/03 [Not refereed][Not invited]
  • Katsunori Iwasaki, Takato Uehara
    MATHEMATISCHE ZEITSCHRIFT 266 (2) 289 - 318 0025-5874 2010/10 [Refereed][Not invited]
     
    It is a basic problem to count the number of periodic points of a surface mapping, since the growth rate of this number as the period tends to infinity is an important dynamical invariant. However, this problem becomes difficult when the map admits curves of periodic points. In this situation we give a precise estimate of the number of isolated periodic points for an area-preserving birational map of a projective complex surface.
  • Iwasaki Katsunori
    RIMS Kokyuroku 京都大学 1699 (0) 160 - 167 1880-2818 2010/07 [Not refereed][Not invited]
  • Iwasaki Katsunori
    RIMS Kokyuroku 京都大学 1662 (0) 136 - 147 1880-2818 2009/08 [Not refereed][Not invited]
  • Katsunori Iwasaki
    ADVANCES IN MATHEMATICS 217 (5) 1889 - 1934 0001-8708 2008/03 [Refereed][Not invited]
     
    Every finite branch local solution to the sixth Painleve equation around a fixed singular point is an algebraic branch solution. In particular a global solution is an algebraic solution if and only if it is finitely many-valued globally. The proof of this result relies on algebraic geometry of Painleve VI, Riemann-Hilbert correspondence, geometry and dynamics on cubic surfaces, resolutions of Kleinian singularities, and power geometry of algebraic differential equations. In the course of the proof we are also able to classify all finite branch solutions up to Backlund transformations. (c) 2007 Elsevier Inc. All rights reserved.
  • Katsunori Iwasaki
    Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai 143 - 156 2008 [Refereed][Not invited]
     
    We survey some results from our recent studies on the sixth Painlevé equation as a dynamical system. We discuss such topics as phase space and its compactification, Riemann-Hilbert correspondence, Poincaré section, bounded orbits, topological entropy and dynamical degree, and periodic solutions. © 2008 Springer Japan.
  • Katsunori Iwasaki, Takato Uehara
    MATHEMATISCHE ANNALEN 338 (2) 295 - 345 0025-5831 2007/06 [Refereed][Not invited]
     
    An ergodic study of Painleve VI is developed. The chaotic nature of its Poincare return map is established for almost all loops. The exponential growth of the numbers of periodic solutions is also shown. Principal ingredients of the arguments are a moduli-theoretical formulation of Painleve VI, a Riemann-Hilbert correspondence, the dynamical system of a birational map on a cubic surface, and the Lefschetz fixed point formula.
  • Chaos in the sixth Painleve equation
    Katsunori Iwasaki, Takato Uehara
    RIMS Kokyuroku Bessatsu B2 73 - 88 2007 [Refereed][Invited]
  • Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    Publications of Research Institute for Mathematical Sciences 42 (4) 987 - 1089 2006 [Refereed][Not invited]
  • 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]
  • Dynamics of the sixth Painleve equation
    Michiaki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
    Seminaires et Congres 14 103 - 167 2006 [Refereed][Invited]
  • Y Maruyama, K Iwasaki
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 57 (1) 145 - 156 0020-3157 2005/03 [Refereed][Not invited]
     
    On the problem of estimating a positive normal mean with known variance, it is well known that one minimax admissible estimator is the generalized Bayes one with respect to the non-informative prior measure, the Lebesgue measure, restricted on the positive half-line. When the true variance is misspecified, however, it is shown that this estimator does not always retain minimaxity and admissibility. In particular, it is almost surely inadmissible in the misspecification case.
  • Backlund transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence
    M Inaba, K Iwasaki, MH Saito
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2004 (1) 1 - 30 1073-7928 2004 [Refereed][Not invited]
  • K Iwasaki
    COMMUNICATIONS IN MATHEMATICAL PHYSICS 242 (1-2) 185 - 219 0010-3616 2003/11 [Refereed][Not invited]
     
    We construct an area-preserving action of the modular group on a general 4-parameter family of affine cubic surfaces. We present a geometrical background behind this construction, that is, a natural symplectic structure on a moduli space of rank two linear monodromy representations over the 2-dimensional sphere with four punctures, and a natural symplectic action upon it of the braid group on three strings. Studying this action as a discrete dynamical system will be important in discussing the monodromy of the Painleve VI equation.
  • K Iwasaki
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 55 (2) 289 - 321 0025-5645 2003/04 [Refereed][Not invited]
     
    We develop the theory of cohomology groups for recurrence relations, based upon the asymptotic analysis of finite difference equations carried out in a previous paper. We apply it to compute-the Gevrey extension groups of the D-modules associated to some confluent hypergeometric systems. In those applications, recurrence relations appear as contiguity relations of hypergeometric systems.
  • K Iwasaki
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 28 (1-2) 61 - 82 0360-5302 2003 [Refereed][Not invited]
     
    In his famous paper (Witten E. Super-symmetry and Morse Theory. J Diff Geom 1982; 17:661-692), Witten used a twisted Laplacian, twisted by a Morse function, to develop his Morse theory as a super-symmetric quantum mechanics. Afterwards, in their studies on puits multiples en mecanique semi-classique, Helffer and Sjostrand (Helffer B, Sjostrand J. Puits Multiples en Mecanique Semi-classique IV, Etude du Complexe de Witten. Comm. Partial Differential Equations 1985; 10:245-340) made a detailed investigation of Witten's complexes. In this paper, we use a twisted Laplacian, twisted by a versal deformation of an isolated singularity (invariant under a finite. unitary reflection group), to construct a duality between a pair of polynomial twisted de Rham cohomology groups associated with the isolated singularity. The construction is based on a twisted version of Hodge-Kodaira decomposition derived through a pseudo-differential calculus of Witten's twisted Laplacian. Discussion is also made on the real structure and super-symmetry, compatible with the duality constructed, of the twisted de Rham cohomology.
  • K Iwasaki
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 78 (7) 131 - 135 0386-2194 2002/09 [Not refereed][Not invited]
     
    We construct an action of the modular group Gamma(2) on a general 4-parameter family of complex cubic surfaces and describe the nonlinear monodromy of the Painleve VI equation in terms of this action.
  • Katsunori Iwasaki, Kenji Kajiwara, Toshiya Nakamura
    Journal of Physics, A: Mathematical and General 35 207 - 211 2002/04 [Refereed][Not invited]
  • Polynomial invariants and harmonic functions related to exceptional regular polytopes
    K Iwasaki, A Kenma, K Matsumoto
    EXPERIMENTAL MATHEMATICS 11 (2) 313 - 319 1058-6458 2002 [Refereed][Not invited]
     
    We compute certain polynomial invariants for the finite reflection groups of the types H-3, H-4 and F-4. Using this result, we explicitly determine the solution space of functions satisfying a mean value property related to the exceptional regular polytopes, namely, the icosahedron and dodecahedron in three dimensions and the 24-cell, 600-cell, and 120-cell in four dimensions.
  • Inverse bifurcation problem, singular Wiener-Hopf equations, and mathematical models in ecology
    K Iwasaki, Y Kamimura
    JOURNAL OF MATHEMATICAL BIOLOGY 43 (2) 101 - 143 0303-6812 2001/08 [Refereed][Not invited]
     
    A single-species population dynamics with dispersal in a spatially heterogeneous environment is modeled by a nonlinear reaction-diffusion equation with a potential term. To each nonlinear kinetics there corresponds a bifurcation curve that describes the relation between the growth rate and the central density of a steady-state population distribution. Our main concern is an inverse problem for this correspondence. The existence of nonlinear kinetics realizing a prescribed bifurcation curve is established. It is shown that the freedom of such kinetics is of degree finite and even, depending only on the heterogeneity of the environment, and conversely that any nonnegative even integer occurs as the degree of freedom in some environments. A discussion is also made on under what kind of environment the degree is equal to zero or is positive. The mathematical analysis involves the development of a general theory for singular multiplicative Wiener-Hopf integral equations.
  • Iwasaki Katsunori, Kamimura Yutaka
    RIMS Kokyuroku 京都大学 1216 (0) 115 - 127 1880-2818 2001/06 [Not refereed][Not invited]
  • Iwasaki Katsunori
    RIMS Kokyuroku 京都大学 1212 (0) 1 - 17 1880-2818 2001/06 [Not refereed][Not invited]
  • Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials
    K Iwasaki, K Matsumoto
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 76 (9) 135 - 140 0386-2194 2000/11 [Refereed][Not invited]
     
    A duality is introduced between a pair of polynomial twisted de Rham cohomology groups associated with a generalized Airy function in several variables, Natural bases of the twisted de Rham groups are constructed in terms of Schur polynomials. Then the intersection matrix relative to these bases is calculated explicitly in terms of skew-Schur polynomials.
  • Recent progress in polyhedral harmonics
    K Iwasaki
    ACTA APPLICANDAE MATHEMATICAE 60 (2) 179 - 197 0167-8019 2000/01 [Refereed][Not invited]
     
    Polyhedral harmonics is a subject which deals with the problem of characterizing the continuous functions satisfying the mean value property with respect to a polytope. The main feature of it is the finite dimensionality of the space of polyhedral harmonic functions. The theory involves not only analysis but also algebra and combinatorics, and has a rather different flavor from classical harmonic analysis. This paper aims at providing a survey on the subject, focusing on the author's recent results.
  • Polytopes, invariants and harmonic functions
    Katsunori Iwasaki
    Advanced Studies in Pure Mathematics 27 145 - 156 2000 [Refereed][Not invited]
  • Invariants of finite reflection groups and the mean value problem for polytopes
    K Iwasaki
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 31 477 - 483 0024-6093 1999/07 [Refereed][Not invited]
     
    Let P be an n-dimensional polytope admitting a finite reflection group G as its symmetry group. Consider the set H-P(k) of all continuous functions on R-n satisfying the mean value property with respect to the k-skeleton P(k) of P, as well as the set H-G of all G-harmonic functions. Then a necessary and sufficient condition for the equality H-P(k) = H-G is given in terms of a distinguished invariant basis, called the canonical invariant basis, of G.
  • Iwasaki Katsunori
    RIMS Kokyuroku 京都大学 1090 (0) 110 - 115 1880-2818 1999/04 [Not refereed][Not invited]
  • Iwasaki Katsunori, kamimura Yutaka
    RIMS Kokyuroku 京都大学 1083 (0) 207 - 218 1880-2818 1999/02 [Not refereed][Not invited]
  • A combinatorial formula of Leibniz type with application to Gegenbauer's polynomials
    K Iwasaki, H Kawamuko
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 127 (1) 29 - 33 0002-9939 1999/01 [Refereed][Not invited]
     
    We establish a combinatorial formula of Leibniz type, which is an identity for a certain differential polynomial. The formula leads to new quadratic relations between Gegenbauer's orthogonal polynomials.
  • Katsunori Iwasaki
    Aequationes Mathematicae 57 (2-3) 206 - 220 0001-9054 1999 [Refereed][Not invited]
     
    Given any triangle Δ, let Δ(d) be the d-skeleton of Δ for d = 0, 1, 2. The space HΔ(d) of all continuous functions in ℝ2 satisfying the mean value property with respect to Δ(d) is determined explicitly for each d = 0, 1, 2. We have dim H Δ(d) = 6 if the origin is the barycenter of Δ (resp. the incenter of Δ′) for d = 0, 2 (resp. for d = 1), where Δ′ is the reciprocal triangle of Δ otherwise dim HΔ(d) = 2. Moreover there exists a homogeneous polynomial Fd(x) such that HΔ(d) is generated by Fd(x) as a ℝ[∂]-module, F d(x) being determined explicitly. © Birkhäuser Verlag, Basel, 1999.
  • Katsunori Iwasaki, Yutaka Kamimura
    Journal of Integral Equations and Applications 11 (4) 461 - 499 0897-3962 1999 [Refereed][Not invited]
     
    For a class of singular Volterra integral equations we establish a necessary and sufficient condition for unique solvability in suitable function space settings. The discussion is based on the convolution calculus associated with the one-sided Mellin transform with weight 0. This study is motivated by some inverse nonlinear Sturm-Liouville problems, whose linearizations give rise to integral equations of our class. The method developed in this paper settles them in a unified manner. © 1999 Rocky Mountain Mathematics Consortium.
  • 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]
  • Basic invariants of finite reflection groups
    K Iwasaki
    JOURNAL OF ALGEBRA 195 (2) 538 - 547 0021-8693 1997/09 [Refereed][Not invited]
     
    Any finite reflection group G admits a distinguished basis of G-invariants canonically attached to a certain system of invariant differential equations. We determine. it explicitly for groups of types A, B, D, and I in a systematic way. (C) 1997 Academic Press.
  • K Iwasaki, Y Kamimura
    INVERSE PROBLEMS 13 (4) 1015 - 1031 0266-5611 1997/08 [Refereed][Not invited]
     
    This paper concerns an inverse problem for nonlinear Sturm-Liouville problems. Under some assumptions on the first eigenfunction of the linearized problem, we establish the existence of the nonlinearity realizing a given first bifurcating branch. The proof is based on solving an integral equation of the Abel type.
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 京都大学 983 (0) 14 - 21 1880-2818 1997/03 [Not refereed][Not invited]
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 京都大学 984 (0) 96 - 103 1880-2818 1997/03 [Not refereed][Not invited]
  • Polytopes and the mean value property
    K Iwasaki
    DISCRETE & COMPUTATIONAL GEOMETRY 17 (2) 163 - 189 0179-5376 1997/03 [Refereed][Not invited]
     
    Let P be any (not necessarily convex nor connected) solid polytope in the n-dimensional Euclidean space R(n), and let P(k) be the k-skeleton of P. Let H-P(k) be the set of all continuous functions satisfying the mean value property with respect to P(k). For any k = 0, 1, ..., n, we show that H-P(k) is a finite-dimensional linear space of polynomials. This settles an open problem posed by Friedman and Littman [37] in 1962. Moreover, we show that if P admits ample symmetry, then H-P(k) is a finite-dimensional linear space of harmonic polynomials. Some interesting examples are also given.
  • Asymptotic analysis for linear difference equations
    Katsunori Iwasaki
    Transactions of the American Mathematical Society 349 (10) 4017 - 4142 1997 [Refereed][Not invited]
  • Regular simplices, symmetric polynomials and the mean value property
    K Iwasaki
    JOURNAL D ANALYSE MATHEMATIQUE 72 279 - 298 0021-7670 1997 [Refereed][Not invited]
     
    Let P be an n-dimensional regular simplex in R-n centered at the origin, and let P(k) be the k-skeleton of P for k = 0, 1,..., n. Then the set H-P(k) of all continuous functions in mn satisfying the mean value property with respect to P(k) forms a finite-dimensional linear space of harmonic polynomials. In this paper the function space H-P(k) is explicitly determined by group theoretic and combinatorial arguments for symmetric polynomials.
  • Exterior power structure on the twisted de Rham cohomology of the complements of real veronese arrangements
    K Iwasaki, M Kita
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 75 (1) 69 - 84 0021-7824 1996 [Refereed][Not invited]
     
    Let S be the complex affine line minus real m points; then the n-th symmetric product T of S is the complement of a special arrangement of hyperplanes in the affine n-space, called the real Veronese arrangement. We show that under a simple condition, only the n-th twisted cohomology of T survives and it is isomorphic to the n-th exterior power of the first twisted cohomology of S. This isomorphism is explicitly written in terms of logarithmic forms.
  • Katsunori Iwasaki
    Journal of Dynamics and Differential Equations 6 (4) 671 - 711 1040-7294 1994/10 [Refereed][Not invited]
     
    Let M(n) be the algebra of all n×n complex matrices. We consider a dynamical system on M(n) defined by the vector field V(X)=[[X*, X], X], (X ∃ M(n)). It arises as the gradient flow for two kinds of variational problems on M(n). Given any X0∃ M(n), let X(t) be the trajectory starting at X0. We study the global behavior of X(t) as t → ∞. We show that, if X0 is semisimple, then X(t) converges exponentially to a normal matrix. If X0 is not semisimple, then the behavior of X(t) is completely different and difficult to analyze. We give some results also in this case. Furthermore, we discuss about a center manifold approach to our dynamical system. © 1994 Plenum Publishing Corporation.
  • ISAWAKI KATSUNORI
    RIMS Kokyuroku 京都大学 878 (0) 75 - 78 1994/06 [Not refereed][Not invited]
  • IWASAKI KATSUNORI
    RIMS Kokyuroku 京都大学 878 (0) 64 - 74 1880-2818 1994/06 [Not refereed][Not invited]
  • Geometry of Fuchsian moduli spaces
    Katsunori Iwasaki
    Geometry, Topology and Field Theory, World Scientific Publishers 39 - 47 1994 [Refereed][Invited]
  • FUCHSIAN MODULI ON A RIEMANN SURFACE - ITS POISSON STRUCTURE AND POINCARE-LEFSCHETZ DUALITY
    K IWASAKI
    PACIFIC JOURNAL OF MATHEMATICS 155 (2) 319 - 340 0030-8730 1992/10 [Refereed][Not invited]
     
    The moduli space of Fuchsian projective connections on a closed Riemann surface admits a Poisson structure. The moduli space of projective monodromy representations on the punctured Riemann surface also admits a Poisson structure which arises from the Poincare-Lefschetz duality for cohomology. We shall show that the former Poisson structure coincides with the pull-back of the latter by the projective monodromy map. This result explains intrinsically why a Hamiltonian structure arises in the monodromy preserving deformation.
  • 岩崎 克則
    数理解析研究所講究録 京都大学 756 (0) 68 - 84 1880-2818 1991/06 [Not refereed][Not invited]
  • 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]
  • On solutions of the Poincare equations
    Katsunori Iwasaki
    Proceedings of the Japan Academy, Series A 67 (6) 211 - 214 1991 [Refereed][Not invited]
  • IWASAKI Katsunori
    RIMS Kokyuroku 京都大学 683 (0) 9 - 31 1880-2818 1989/03 [Not refereed][Not invited]
  • RIEMANN FUNCTION OF HARMONIC EQUATION AND APPELLS F4
    K IWASAKI
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS 19 (4) 902 - 917 0036-1410 1988/07 [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]
  • On the inverse Sturm-Liouville problem with spatial symmetry
    Katsunori Iwasaki
    Funkcialaj Ekvacioj 31 (1) 25 - 74 1988 [Refereed][Not invited]
  • Scattering theory for fourth order differential operators II
    Katsunori Iwasaki
    Japanese Journal of Mathematics 14 (1) 59 - 97 1988 [Refereed][Not invited]
  • Scattering theory for fourth order differential operators I
    Katsunori Iwasaki
    Japanese Journal of Mathematics 14 (1) 1 - 57 1988 [Refereed][Not invited]
  • INVERSE PROBLEM FOR STURM-LIOUVILLE AND HILL EQUATIONS
    K IWASAKI
    ANNALI DI MATEMATICA PURA ED APPLICATA 149 (4) 185 - 206 0003-4622 1987 [Refereed][Not invited]

Conference Activities & Talks

  • Hypergeometric groups and dynamics on K3 surfaces  [Invited]
    Katsunori Iwasaki
    Hokkaido University Mathematics Colloqium  2020/02
  • Hypergeometric groups and K3 lattices  [Invited]
    Katsunori Iwasaki
    Differential Systems: from Theory to Computer Mathematics  2019/12
  • On lattices generated by hypergeometric groups  [Invited]
    Katsunori Iwasaki
    Kumamoto University Mathematics Colloqium  2019/10
  • Discrete Laplace method and hypergeometric continued fractions  [Invited]
    Katsunori Iwasaki
    15th International Conference on Orthogonal Polynomials, Special Functions and Applications  2019/07
  • 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
  • 超幾何連分数の漸近展開  [Invited]
    岩崎克則
    第12回玉原特殊多様体研究集会、東京大学玉原国際セミナーハウス  2018/09
  • 超幾何連分数の誤差評価 Error estimates for hypergeometric continued fraction  [Not invited]
    岩崎克則
    アクセサリ・パラメータ研究会,熊本大学理学部  2018/03
  • 超幾何級数の離散鞍点法とその応用  [Not invited]
    岩崎克則
    超幾何方程式研究会 2018,神戸大学理学部  2018/01
  • 代数曲面上の双有理写像の周期点とパンルヴェ方程式の周期解  [Invited]
    岩崎克則
    第11回玉原特殊多様体研究集会, 東京大学玉原国際セミナーハウス,群馬県沼田市  2017/09
  • 超幾何級数の漸近挙動と離散鞍点法  [Not invited]
    岩崎克則
    超幾何学校 2017,小樽商科大学  2017/09
  • 超幾何連分数について  [Invited]
    岩崎克則
    第10回玉原特殊多様体研究集会, 東京大学玉原国際セミナーハウス  2016/09
  • 境界領域における超幾何関数のガンマ乗積表示について  [Not invited]
    日下部美奈, 岩崎克則
    2016年度函数方程式論サマーセミナー,石川県羽咋市  2016/08
  • パンルヴェ方程式の幾何学  [Invited]
    岩崎克則
    幾何学コロキウム, 北海道大学  2016/06
  • 超幾何関数の隣接関係式・鞍点法・連分数  [Not invited]
    岩崎克則, 蛭子彰仁
    アクセサリーパラメータ研究会,熊本大学  2016/03
  • 超幾何恒等式と超幾何連分数について  [Invited]
    岩崎克則
    数論幾何・超幾何研究交流会,北海道大学  2016/03
  • 超幾何恒等式をめぐって  [Invited]
    岩崎克則
    超幾何学校 2015, 神戸大学  2015/09
  • 超幾何和の算術性について  [Invited]
    岩崎克則
    琉球超幾何セミナー, 琉球大学理学部, 沖縄県中頭郡  2015/02
  • 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
  • Arithmetic conditions for HG sums = Gamma products,  [Not invited]
    岩崎克則
    超幾何方程式研究会 2015, 神戸大学  2015/01
  • On some hypergeometric summations  [Invited]
    岩崎克則
    RIMS 研究集会「複素領域における微分方程式・その近年の発展」 京都大学数理解析研究所  2014/11
  • 超幾何和の特殊値をめぐって  [Invited]
    岩崎克則
    微分方程式の展望, 熊本大学  2014/10
  • パンルヴェ第I方程式の軌道体ハミルトン構造について  [Invited]
    岩崎克則, 岡田脩
    第5回ハミルトン系とその周辺、金沢大学サテライトプラザ  2014/05
  • パンルヴェ第I方程式の軌道体ハミルトン構造  [Not invited]
    岡田脩, 岩崎克則
    超幾何方程式研究会 2014, 神戸大学  2014/01
  • 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
  • 超幾何和とサイン・サイン  [Not invited]
    岩崎克則
    超幾何方程式研究会 2013, 神戸大学  2013/01
  • 超幾何和の超幾何性  [Invited]
    岩崎克則
    琉球超幾何セミナー, 琉球大学  2012/11
  • 多面体と関数方程式  [Not invited]
    岩崎克則
    函数方程式サマーセミナー 2012,山形  2012/08
  • 立方体とベルヌーイ数  [Not invited]
    岩崎克則
    超幾何方程式研究会 2012, 神戸大学  2012/01
  • パンルヴェ性をめぐって  [Invited]
    岩崎克則
    アクセサリー・パラメーター研究会, 熊本大学  2011/03
  • 複素曲面上の正則力学系について  [Invited]
    岩崎克則
    複素解析的ベクトル場・葉層構造とその周辺, 龍谷大学  2010/11
  • パンルヴェ方程式の力学系  [Invited]
    岩崎克則
    Dynamics of Complex Systems セミナー,北海道大学  2010/11
  • 複素曲面上の正則力学系について  [Invited]
    岩崎克則
    東北大学幾何セミナー, 東北大学  2010/10
  • 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
  • 特殊関数の諸問題  [Invited]
    岩崎克則
    複素幾何学の諸問題,RIMS 共同研究, 京都大学数理解析研究所  2010/09
  • Painleve VI 方程式のある特殊解について  [Invited]
    岩崎克則
    函数方程式論ワークショップ,東京大学  2010/07
  • パンルヴェ方程式の代数解析と力学系  [Invited]
    岩崎克則
    北海道大学談話会,北海道大学  2010/05
  • パンルヴェ方程式の代数解析と力学系  [Invited]
    岩崎克則
    日本数学会年会総合講演,慶應義塾大学  2010/03
  • A note on the Markoff-Painleve transcendent  [Invited]
    岩崎克則
    複素力学系とその関連分野の総合的研究, RIMS 研究集会, 京都大学  2009/12
  • Smale in Painleve around Gauss  [Invited]
    岩崎克則
    筑波大学解析セミナー, 筑波大学  2009/10
  • Smale in Painleve around Gauss  [Not invited]
    岩崎克則
    2009 年度函数方程式サマーセミナー, 鳥羽  2009/08
  • パンルヴェ方程式のモノドロミーとその力学系  [Invited]
    岩崎克則
    微分方程式のモノドロミーをめぐる諸問題,京都大学数理解析研究所  2009/02
  • 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
  • パンルヴェ方程式の幾何学  [Invited]
    岩崎克則
    第 55 回幾何学シンポジウム, 弘前大学  2008/08
  • パンルヴェ第 VI 方程式のの代数解について  [Not invited]
    岩崎克則
    函数方程式論サマーセミナー, 白樺ハイツ,富山市亀谷  2008/08
  • 指標多様体上の有限軌道とパンルヴェ VI の代数解  [Invited]
    岩崎克則
    微分ガロア理論・モノドロミー保存変形・パンルヴェ方程式, 神戸大学  2008/07
  • 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]
    岩崎克則
    完全 WKB 解析と超局所解析, 京都大学数理解析研究所  2008/05
  • Finite orbits on character varieties and algebraic solutions to Painleve VI  [Invited]
    Katsunori Iwasaki
    IRMAR, Universite de Rennes 1, France  2008/03
  • パンルヴェ方程式とモデュライ空間上の力学系  [Invited]
    岩崎克則
    力学系と微分方程式, 広島大学  2007/11
  • パンルヴェ方程式とモデュライ空間上の力学系  [Invited]
    岩崎克則
    京都大学談話会,京都大学  2007/10
  • 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
  • パンルヴェ第 VI 方程式の固定特異点のまわりの 有限分岐局所解について  [Not invited]
    岩崎克則
    日本数学会秋季総合分科会, 東北大学  2007/09
  • Ergodic theory of Painleve foliation  [Invited]
    Katsunori Iwasaki
    Birational automorphisms of compact complex manifolds and dynamical systems, Nagoya University  2007/08
  • パンルヴェ VI の固定特異点のまわりの有限分岐局所解  [Not invited]
    岩崎克則
    関数方程式論サマーセミナー,安曇野市  2007/08
  • パンルヴェ方程式の力学系:可積分 vs カオス  [Invited]
    岩崎克則
    東北大学「21世紀COE物質階層融合科学の構築」春の学校(続編)  2007/04
  • Ergodic theory of Painleve foliation  [Invited]
    岩崎克則
    複素葉層構造研究会,龍谷大学  2007/02
  • Algebraic analysis of the sixth Painleve equation,  [Invited]
    岩崎克則
    微分方程式の代数解析と完全 WKB 解析,京都大学数理解析研究所  2006/12
  • Dynamics of the sixth Painleve equation  [Invited]
    岩崎克則
    複素力学系とその周辺,京都大学数理解析研究所  2006/10
  • 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
  • パンルヴェ方程式ののエルゴード力学系について  [Invited]
    上原崇人, 岩崎克則
    可積分系数理の眺望, 京都大学数理解析研究所  2006/08
  • パンルヴェ方程式の幾何学  [Invited]
    岩崎克則
    福岡大学幾何セミナー,福岡大学  2006/07
  • パンルヴェ方程式:モデュライ空間・特異点・力学系  [Invited]
    岩崎克則
    九州幾何セミナー,九州大学  2006/06
  • 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
  • Chaos in Painleve VI  [Not invited]
    岩崎克則, 上原崇人
    研究会「複素領域における微分方程式」 熊本大学  2006/03
  • Painleve equations: moduli spaces, singularities, and dynamical systems  [Invited]
    岩崎克則
    代数・解析・幾何学セミナー, 鹿児島大学  2006/02
  • Painleve VI: moduli spaces, singularities, and dynamical system  [Invited]
    岩崎克則
    可積分系極寒セミナー, 北見工業大学  2006/02
  • Some dynamical aspects of Painleve VI  [Invited]
    岩崎克則
    ウインターセミナー「可積分系の理論」 新潟県南魚沼郡湯沢町  2006/01
  • Poincare sections of the sixth Painleve dynamics  [Invited]
    岩崎克則
    Kobe Workshops on Integrable Systems and Painleve Systems, Kobe University  2005/11
  • パンルヴェ方程式のダイナミクス  [Invited]
    岩崎克則
    Pathways Lecture Series in Mathematics, Keio, 慶応大学  2005/10
  • 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
  • パンルヴェ方程式のダイナミクス  [Invited]
    岩崎克則
    日本数学会年会函数方程式分科会解析学賞受賞特別講演, 日本大学  2005/03
  • K3曲面上の複素力学系  [Invited]
    岩崎克則
    第6回九州可積分系セミナー「K3曲面上の複素力学系」 九州大学  2005/03
  • パンルヴェ方程式と特異点解消  [Invited]
    岩崎克則
    ウインターセミナー「可積分系の理論」 新潟県南魚沼郡湯沢町  2005/02
  • パンルヴェ方程式と力学系理論  [Invited]
    岩崎克則
    慶応大学 21 世紀 COE 代数解析セミナー,慶応大学  2005/01
  • パンルヴェ方程式の幾何学  [Invited]
    岩崎克則
    北海道大学談話会, 北海道大学  2004/12
  • K3曲面上の複素力学系 (C.T. McMullen の仕事の紹介)  [Not invited]
    岩崎克則
    超幾何関数研究会, 神戸学生青年センター及び神戸大学  2004/11
  • パンルヴェ方程式とリーマン・ヒルベルト対応  [Not invited]
    岩崎克則
    函数方程式サマーセミナー, 長野県下伊那郡  2004/08
  • パンルヴェ方程式のダイナミクス  [Invited]
    岩崎克則
    多変数函数論サマーセミナー, 三重県菰野町  2004/08
  • パンルヴェ方程式のダイナミクス  [Invited]
    岩崎克則
    別府夏の少人数セミナー「モジュライ空間と可積分系の新しい展開」 別府  2004/07
  • 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
  • パンルヴェ方程式の幾何学  [Invited]
    岩崎克則
    志賀弘典先生還暦研究会, 北海道大学  2004/01
  • パンルベ VI 型方程式およびガルニエ方程式の幾何学 "ベックルンド変換とτ関数を中心にして"  [Invited]
    稲場道明, 岩崎克則, 斎藤政彦
    複素領域の微分方程式, 神戸大学瀧川記念会館  2004/01
  • パンルヴェ方程式のダイナミクス  [Invited]
    岩崎克則
    大岡山談話会,東京工業大学  2003/11
  • リーマン・ヒルベルト対応とパンルヴェ第 VI 方程式  [Invited]
    岩崎克則
    複素領域における微分方程式の大域解析と漸近解析, 京都大学数理解析研究所  2003/10
  • 極値問題とニュートン図形  [Invited]
    岩崎克則
    日本オペレーションズ・リサーチ学会 第 50 回シンポジウム「OR と数学」,九州大学国際学術研究交流プラザ  2003/09
  • Geometry of the sixth Painleve equation  [Invited]
    岩崎克則
    New trends in microlocal analysis、RIMS at Kyoto  2003/08
  • Backlund transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence  [Not invited]
    岩崎克則
    関数方程式サマーセミナー,香川県  2003/08
  • パンルヴェ第 VI 方程式の幾何学  [Invited]
    岩崎克則
    微分方程式の総合的研究, 東京大学  2002/12
  • パンルベ第 VI 方程式の幾何学  [Invited]
    岩崎克則
    ワークショップ「可積分系と パンルヴェ系」 神戸大学瀧川記念会館  2002/12
  • モジュラー群の複素三次曲面への作用とパンルヴェ第六方程式の モノドロミー  [Not invited]
    岩崎克則
    日本数学会秋季総合分科会,島根大学  2002/09
  • 多面体調和関数の数理 --- 多面体・不変式・偏微分方程式  [Invited]
    岩崎克則
    企画特別講演,日本数学会秋季総合分科会,島根大学  2002/09
  • A modular group action on cubic surfaces and the monodromy of the sixth Painleve equation  [Not invited]
    岩崎克則
    関数方程式サマーセミナー, 慶應大学立科山荘  2002/08
  • A modular group action on cubic surfaces and the monodromy of the sixth Painleve equation  [Invited]
    岩崎克則
    微分方程式の変形と漸近解析, 京都大学数理解析研究所  2002/06
  • パンルベ第二方程式に付随する母関数  [Not invited]
    中村俊哉, 岩崎克則, 梶原健司
    日本数学会年会,明治大学  2002/03
  • Yablonski-Vorobev 多項式の母関数  [Not invited]
    梶原健司, 岩崎克則, 中村俊哉
    日本物理学会,立命館大学  2002/03
  • A modular group action on cubic surfaces and the monodromy of the sixth Painleve equation  [Invited]
    岩崎克則
    パンルベ方程式研究会、 九州大学  2002/02
  • Generating function associated with the rational solutions of the Painleve II equation  [Invited]
    岩崎克則
    解析セミナー、熊本大学  2002/01
  • Geometry of isomonodromic deformations  [Invited]
    Katsunori Iwasaki
    International Conference on Geometry of Moduli Spaces and Integrable Systems, RIMS at Kyoto University  2001/09
  • Geometry of isomonodromic deformations  [Invited]
    岩崎克則
    大阪大学幾何セミナー, 大阪大学  2001/05
  • Witten Laplacian and twisted de Rham cohomology  [Invited]
    岩崎克則
    微分方程式論における積分公式と twisted cohomology, 京都大学数理解析研究所  2001/01
  • 一般のリーマン面におけるモノドロミー保存変形  [Invited]
    岩崎克則
    モノドロミー保存変形と可積分系,ピアザ淡海会議場,大津  2000/12
  • 多面体調和関数の数理  [Invited]
    岩崎克則
    特殊函数をめぐって,慶應大学  2000/12
  • Inverse problem in mathematical ecology and related Wiener-Hopf equation  [Invited]
    岩崎克則, 上村豊
    関数方程式の定性的理論と その現象解析への応用,京都大学数理解析研究所  2000/11
  • Isolated singularity, Witten's Laplacian and twisted de Rham cohomology  [Invited]
    岩崎克則
    微分方程式の超局所解析・漸近解析,京都大学数理解析研究所  2000/10
  • A certain inadmissible minimax estimator of a positive normal mean  [Not invited]
    丸山祐造, 岩崎克則
    日本数学会秋季総合分科会,統計数学分科会, 京都大学  2000/09
  • 生態学と逆分岐問題  [Not invited]
    岩崎克則, 上村豊
    関数方程式サマーセミナー, 白馬  2000/07
  • 多面体調和関数の数理  [Invited]
    岩崎克則
    微分方程式の総合的研究, 東京大学  1999/12
  • Isolated singularities and harmonic analysis of twisted de Rham cohomology groups  [Invited]
    岩崎克則
    解析学火曜セミナー, 東京大学  1999/11
  • 逆分岐問題と乗法的 Wiener-Hopf 方程式  [Not invited]
    岩崎克則, 上村豊
    日本数学会秋季総合分科会, 広島大学  1999/09
  • 多面体調和関数の数理 -- ある問題の提示 --,  [Not invited]
    岩崎克則
    日本数学会 秋季総合分科会,広島大学  1999/09
  • Airy integrals, Schur polynomials and harmonic theory for twisted de Rham cohomology groups  [Not invited]
    岩崎克則
    関数方程式サマーセミナー, 八ヶ岳  1999/08
  • Asymptotic analysis for finite difference equations  [Invited]
    岩崎克則
    熊本大学談話会, 熊本大学  1999/07
  • Twisted harmonic theory for de Rham cohomology groups  [Invited]
    岩崎克則
    Painleve 系、超幾何系、漸近展開,京都大学数理解析研究所  1999/06
  • Inverse bifurcation problems and singular multiplicative Wiener-Hopf equations  [Invited]
    Katsunori Iwasaki
    Inverse and Direct Problems and Applications, Gargnano, Italy  1999/04
  • Wiener-Hopf 方程式と逆分岐問題  [Invited]
    岩崎克則, 上村豊
    関数方程式の方法とその応用, 京都大学数理解析研究所  1998/11
  • Intersection matrix of the generalized Airy function in terms of Schur polynomials  [Invited]
    岩崎克則
    Various aspects of special functions, Kumamoto University  1998/11
  • Polyhedral harmonic functions and invariant theory  [Not invited]
    Katsunori Iwasaki
    ICM'98, Berlin, Germany  1998/08
  • Introduction to Hodge theory  [Not invited]
    岩崎克則
    関数方程式サマーセミナー --- 微分方程式と特異点、 山形  1998/07
  • Polytopes, invariants, and harmonic functions  [Invited]
    Katsunori Iwasaki
    Workshop on mathematics related to arrangements of hyperplanes, Tokyo Metropolytan University  1998/07
  • 多面体調和関数と群調和関数  [Invited]
    岩崎克則
    日本数学会九州支部会特別講演、九州大学国際ホール  1998/02
  • Contiguity relations and Gevrey cohomology groups for hypergeometric systems  [Invited]
    岩崎克則
    数論と特殊関数, 熊本大学  1998/01
  • Cohomology groups for recurrence relations with applications to hypergeometric systems  [Invited]
    Katsunori Iwasaki
    Complex analysis and microlocal analysis, RIMS, Kyoto  1997/12
  • 差分方程式のコホモロジー群と超幾何方程式 の隣接関係式  [Invited]
    岩崎克則
    Workshop on hypergeometric systems in Kobe '97, 神戸大学  1997/12
  • 多面体調和関数と群調和関数 I,II  [Invited]
    岩崎克則
    表現論的組合わせ論と組合わせ論的表現論、 京都大学数理解析研究所  1997/11
  • Invariant differential equations associated with finite reflection groups  [Not invited]
    岩崎克則
    関数方程式サマーセミナー、 九重国立大学研修センター  1997/07
  • 多面体調和関数  [Invited]
    岩崎克則
    広島大学談話会  1997/07
  • 多面体・不変式・ホロノミック系  [Invited]
    岩崎克則
    九州大学談話会  1997/07
  • 多面体調和関数の数理 I, II  [Invited]
    岩崎克則
    北海道大学講演会  1997/06
  • Polyhedral harmonics  [Invited]
    Katsunori Iwasaki
    Equadiff 9, Masaryk University, Brno, Czech  1996/11
  • リーマン面・モノドロミー・微分方程式  [Invited]
    岩崎克則
    リーマン 面に関連した位相幾何学、北海道大学  1996/11
  • Polytopes and the mean value property  [Invited]
    Katsunori Iwasaki
    Harmonic analysis session, ISAAC 97, Delaware University, U.S.A  1996/09
  • Polytopes, Invariants and PDEs  [Invited]
    岩崎克則
    超局所解析に おける代数解析的方法、京都大学数理解析研究所  1996/07
  • Polytopes, Invariants and PDEs  [Invited]
    岩崎克則
    解析学火曜セミナー、東京大学  1996/06
  • Polytopes and the mean value property  [Invited]
    岩崎克則
    ポテンシャル論 Winter School, 岡山理科大学学術交流 センター  1996/02
  • 多面体と平均値の性質  [Invited]
    岩崎克則
    広島大学談話会、広島大学  1996/02
  • 多面体と平均値の性質  [Invited]
    岩崎克則
    熊本大学談話会、熊本大学  1996/01
  • Gevrey cohomology 群に対する離散的熱方程式 の方法  [Invited]
    岩崎克則
    解析的微分方程式の解の構成、お茶ノ水女子大学  1995/12
  • 多面体と平均値の性質  [Not invited]
    岩崎克則
    神戸大学談話会、神戸大学  1995/11
  • 多面体遊び  [Not invited]
    岩崎克則
    超幾何関数の幾何,城崎  1995/10
  • Gevrey cohomology 群に対する離散的熱方程式 の方法  [Invited]
    岩崎克則
    日本数学会秋季総合分科会特別講演,東北大学  1995/09
  • An inverse bifurcation problem and an integral equation of the Abel type  [Not invited]
    岩崎克則, 上村豊
    日本数学会年会  1995/03
  • Cohomology groups for recurrence relations  [Invited]
    Katsunori Iwasaki
    Colloquium at Universite Paris VI, Paris, France,  1995/01
  • 超幾何関数に役立つ位相幾何  [Not invited]
    岩崎克則
    超幾何関数の 研究、神戸大学  1994/01
  • Exterior power structure for the hypergeometric functions  [Invited]
    岩崎克則
    Symposium on Arithmetic Geometry, 東京都立大学、東京  1994/01
  • 超幾何関数の交叉理論  [Not invited]
    岩崎克則
    関数方程式若手セミナー、乗鞍  1994/01
  • A problem on the singularities of a real algebraic vector fields  [Invited]
    岩崎克則
    Symposium on singularities of holomorphic vector fields, RIMS, Kyoto  1993/11
  • An intersection theory for hypergeometric functions  [Invited]
    岩崎克則
    Symposium on singularities of holomorphic vector fields, RIMS, Kyoto  1993/11
  • Geometry of Fuchsian moduli spaces  [Invited]
    岩崎克則
    Symposium on geometry, topology and field theory, RIMS, Kyoto  1993
  • Monodromy preserving deformation and Hamiltonian systems  [Invited]
    岩崎克則
    代数解析学と整数論、京都大学 数理解析研究所  1992/03
  • 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
  • Local systems and dynamical sysytems on the configuration space of points  [Invited]
    Katsunori Iwasaki
    Colloquium at Universitat Ulm, Germany  1989/04
  • Monodromy preserving deformation for Fuchsian projective connections on a Riemann surface  [Invited]
    Katsunori Iwasaki
    Die Gewohnlichen Differentialgleichungen und spetial Funktionen,  1989/04
  • リーマン面上の SL 作用素の空間の構造と モノドロミー保存変形  [Not invited]
    岩崎克則
    、複素解析と大域解析 -- 微分 方程式の視点から、京都大学数理解析研究所  1988/11
  • 微分方程式に対するひとつの見方  [Not invited]
    岩崎克則
    発展方程式若手セミナー、箱根  1988/08
  • 助変数を含む微分方程式の Riemann-Hilbert- Birkhoff 問題  [Invited]
    岩崎克則
    微分方程式の総合的研究、日本大学  1987/12
  • Asymptotic analysis for differential equations containing a large parameter  [Invited]
    Katsunori Iwasaki
    Taniguchi Symposium on differential equations in the complex domain  1987/08
  • 調和方程式の Riemann 関数と Appell の F4  [Invited]
    岩崎克則
    東京大学関数方程式セミナー、東京大学  1986/11
  • Sturm-Liouville 逆問題について  [Invited]
    岩崎克則
    Lie 環と 微分方程式、館山  1986/08
  • 4 階微分作用素に対する逆散乱理論  [Invited]
    岩崎克則
    微分方程式の総合的研究、日本大学  1985/12
  • 4 階微分作用素に対する逆散乱理論  [Invited]
    岩崎克則
    東京大学談話会, 東京大学  1985/05

Educational Activities

Teaching Experience

  • Geometry
    開講年度 : 2018
    課程区分 : 修士課程
    開講学部 : 理学院
    キーワード : 多様体の向き(オリエンテーション),微分形式,ストークスの定理,ド・ラム・コホモロジー,特異コホモロジー,ド・ラムの定理, 調和積分論
  • Overview of Modern Mathematics
    開講年度 : 2018
    課程区分 : 修士課程
    開講学部 : 理学院
    キーワード : 【現代数学から見た魔方陣】 魔方陣,アフィン幾何,体 【かたちの調和性】 多面体,対称性,鏡映群,不変式,調和関数
  • Inter-Graduate School Classes(General Subject):Natural and Applied Sciences
    開講年度 : 2018
    課程区分 : 修士課程
    開講学部 : 大学院共通科目
    キーワード : 【現代数学から見た魔方陣】 魔方陣,アフィン幾何,体 【かたちの調和性】 多面体,対称性,鏡映群,不変式,調和関数
  • Basic Mathematics B
    開講年度 : 2018
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 集合,写像,連続性,距離空間,位相,開集合と閉集合,分離性、連結性、コンパクト性
  • Advanced Geometry
    開講年度 : 2018
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 多様体の向き(オリエンテーション),微分形式,ストークスの定理,ド・ラム・コホモロジー,特異コホモロジー,ド・ラムの定理, 調和積分論
  • Calculus I
    開講年度 : 2018
    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


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