Iwasaki Katsunori

イワサキカツノリ | Iwasaki Katsunori

Affiliation and department：
Job title：教授
Homepage URL (1)： http://kaken.nii.ac.jp/d/r/00176538.ja.html

Research field (4)： Mathematical analysis , Basic analysis , Geometry , Algebra

Research keywords (32)： hypergeometric group , K3 surfaces , 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 theme for competitive and other funds (39)：

2022 - 2025 New developments of hypergeometric functions and hypergeometric groups
2019 - 2023 Asymptotic and global analysis of hypergeometric functions
2016 - 2019 Hypergeometric functions and Painleve equations
2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
2013 - 2016 Painleve systems, hypergeometric systems and dynamical systems

2011 - 2016 Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformation

2011 - 2016 Geometric moduli theory and its theoretical applications

2011 - 2015 Development of Integrable Geometry

2008 - 2012 Dynamics on algebraic varieties and Painleve equations

2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems

2007 - 2010 Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory

2007 - 2010 Theory of Painleve systems and its new development

2007 - 2010 Fusion of geometry and the theory of integrable systems

2005 - 2008 Research on geometry related to theta functions

2004 - 2007 Geometry and global analysis of Pailneve equations

2004 - 2007 Development and relations between various geometries and integrable systems

2003 - 2006 Inverse Problems in Nonlinear Phenomena

2003 - 2006 General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoods

2003 - 2006 Mathematical theory of dynamical systems of Painleve type

2003 - 2005 パンルヴェ第VI走方程式の非線型モノドロミーと複素離散力学系

2002 - 2005 Geometric study of the hypergeometric function

2002 - 2005 Complex analysis of L holomorphic functions on pseudoconvex domains of finite type

2001 - 2004 Defining manifolds and symmetries of nonlinear special functions in several variables

2000 - 2003 Differential Equations and Reflection Groups(Polyhedral Harmonics, Hypergeometric Equations, and Painleve Equations)

2001 - 2002 代数的可積分系のP-解析的手法による研究

1999 - 2002 Integrated research of the general hypergeometric systems and nonlinear integrable systems

1999 - 2001 A Geometric study of hypergeometric functions

1998 - 2001 Nonlinear Inverse Problems and Singular Integral Equations

1998 - 2000 Global Analysis of Painleve Equations

1997 - 1998 Studies on Differential and Difference Equations by Means of Geometric and Algebraic Methods

1997 - 1998 STUDIES ON D-MODULES DERIVED FROM CONFLUENT HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

1996 - 1996 微分方程式の幾何学的研究

1995 - 1996 Analysis of the structure of solutions of nonlinear partial differential equations

1993 - 1993 微分方程式のモジュライ理論

1991 - 1992 Microlocal Analysis of Differential Equations

1991 - 1991 非線型偏微分方程式の解の構造の解析

1991 - 1991 境界値問題及び混合問題の超局所解析

1990 - 1990 非線型偏微分方程式の解の構造の解析およびその構造

1989 - 1989 境界値問題の超局所解析

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Papers (66)：

Katsunori Iwasaki, Yuta Takada. K3 Surfaces, Picard Numbers and Siegel Disks. Journal of Pure and Applied Algebra. 2023. 227. 3
Katsunori Iwasaki, Yuta Takada. Hypergeometric groups and dynamics on K3 surfaces. Mathematische Zeitschrift. 2022. 301. 1. 835-891
Katunori Iwasaki. Duality and reciprocity for hypergeometric series with a gamma product formula. Kyushu Journal of Mathematics. 2019. 73. 2. 251-294
Akihito Ebisu, Katsunori Iwasaki. Contiguous relations, Laplace's methods, and continued fractions for 3F2(1). The Ramanujan Journal. 2019. 49. 1. 159-213
Akihito Ebisu, Katsunori Iwasaki. Three term relations for 3F2(1). Journal of Mathematical Analysis and Applications. 2018. 463. 2. 593-610

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MISC (3)：

丸山祐造, 岩崎克則. F-3 正規分布の正の平均の推定におけるミニマクス性と許容性のロバストネス(決定理論)(2003年度統計関連学会連合大会記録(日本統計学会第71回大会)). 日本統計学会誌. 2003. 33. 3. 412-412
Iwasaki K., Kajiwara K., Nakamura T. 25pXB-6 Generating function associated with the Yablonski-Vorob'ev polynomials. Meeting abstracts of the Physical Society of Japan. 2002. 57. 1. 259-259
IWASAKI KATSUNORI. A HAMILTONIAN SYSTEM ON THE FUCHSIAN MODULI SPACE(Algebraic Analysis and Number Theory). 1992. 810. 79-84

Lectures and oral presentations (170)：

Around hypergeometric groups
(2022)
Siegel disks on K3 surfaces and Picard numbers
(2021)
Hypergeometric groups, K3 lattices, and root systems
(2021)
From hypergeometric groups to Siegel disks on K3 surfaces
(2020)
Hypergeometric groups and dynamics on K3 surfaces
(Hokkaido University Mathematics Colloqium 2020)

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Professional career (1)：

理学博士 (東京大学)

Work history (1)：

2011 - 現在北海道大学理学(系)研究科(研究院) 教授

Committee career (2)：

2022/07 - 現在 Journal of the Mathematical Society of Japan Editor-in-Chief
2021/09 - 現在京都大学数理解析研究所専門委員

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