Katsunori Iwasaki

Profile Information

Affiliation: 教授, 理学(系)研究科(研究院), 北海道大学

Degree: 理学博士(東京大学)

J-GLOBAL ID: 201301068988103467
researchmap Member ID: B000226230

External link: http://kaken.nii.ac.jp/d/r/00176538.ja.html

学歴
昭和58年3月東京大学理学部数学科卒業
昭和60年3月東京大学大学院理学系研究科修士課程数学専攻修了
学位
昭和60年3月理学修士（東京大学）
昭和63年3月理学博士（東京大学）
職歴
昭和60年4月東京大学理学部数学科助手
平成4年4月東京大学大学院数理科学研究科助教授
平成9年4月九州大学大学院数理学研究科教授
平成12年4月九州大学大学院数理学研究院教授
平成22年4月北海道大学大学院理学研究院教授

Research Interests

Research Areas

Research History

2011 - Present

教授, 北海道大学理学(系)研究科(研究院)

Committee Memberships

Jul, 2022 - Present

Editor-in-Chief, Journal of the Mathematical Society of Japan
Sep, 2021 - Present

専門委員, 京都大学数理解析研究所

Papers

K3 Surfaces, Picard Numbers and Siegel Disks

Katsunori Iwasaki, Yuta Takada

Journal of Pure and Applied Algebra, 227(3), Mar, 2023 Peer-reviewedLead authorCorresponding author
Hypergeometric groups and dynamics on K3 surfaces

Katsunori Iwasaki, Yuta Takada

Mathematische Zeitschrift, 301(1) 835-891, Jan 3, 2022 Peer-reviewedLead authorCorresponding author
Duality and reciprocity for hypergeometric series with a gamma product formula

Katunori Iwasaki

Kyushu Journal of Mathematics, 73(2) 251-294, Aug, 2019 Peer-reviewedCorresponding author
Contiguous relations, Laplace's methods, and continued fractions for 3F2(1)

Akihito Ebisu, Katsunori Iwasaki

The Ramanujan Journal, 49(1) 159-213, 2019 Peer-reviewedCorresponding author
Three term relations for 3F2(1)

Akihito Ebisu, Katsunori Iwasaki

Journal of Mathematical Analysis and Applications, 463(2) 593-610, 2018 Peer-reviewed
Hypergeometric series with gamma product formula

Katsunori Iwasaki

INDAGATIONES MATHEMATICAE-NEW SERIES, 28(2) 463-493, Apr, 2017 Peer-reviewed
On an orbifold Hamiltonian structure for the first Painleve equation

Katsunori Iwasaki, Shu Okada

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(3) 961-974, Jul, 2016 Peer-reviewed
Around hypergeometric identities

Katsunori Iwasaki, Akihito Ebisu

Rokko Lectures in Mathematics, 24 119-158, 2016 Invited
On algebraic solutions to Painleve VI

Katsunori Iwasaki

RIMS Kokyuroku Bessatsu, B37 49-67, 2013 Peer-reviewedInvited
Isolated Periodic solutions to Painleve VI equation

Katsunori Iwasaki, Takato Uehara

RIMS Kokyuroku Bessatsu, B37 69-79, 2013 Peer-reviewedInvited
Cubic harmonics and Bernoulli numbers

Katsunori Iwasaki

JOURNAL OF COMBINATORIAL THEORY SERIES A, 119(6) 1216-1234, Aug, 2012 Peer-reviewed
特殊関数の問題 : パンルヴェ性をめぐって (複素幾何学の諸問題)

岩崎克則

数理解析研究所講究録, 1731 1-13, Mar, 2011
Periodic points for area-preserving birational maps of surfaces

Katsunori Iwasaki, Takato Uehara

MATHEMATISCHE ZEITSCHRIFT, 266(2) 289-318, Oct, 2010 Peer-reviewed
On the Markoff-Painleve Transcendent (Integrated Research on Complex Dynamics and its Related Fields)

Iwasaki Katsunori

RIMS Kokyuroku, 1699 160-167, Jul, 2010
Monodromy of Painleve VI Equation Around Classical Special Solutions (Monodromy of the differential equations and related problems)

Iwasaki Katsunori

RIMS Kokyuroku, 1662 136-147, Aug, 2009
Finite branch solutions to Painleve VI around a fixed singular point

Katsunori Iwasaki

ADVANCES IN MATHEMATICS, 217(5) 1889-1934, Mar, 2008 Peer-reviewed
Some dynamical aspects of Painlevé VI

Katsunori Iwasaki

Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai, 143-156, 2008 Peer-reviewed
An ergodic study of Painleve VI

Katsunori Iwasaki, Takato Uehara

MATHEMATISCHE ANNALEN, 338(2) 295-345, Jun, 2007 Peer-reviewed
Chaos in the sixth Painleve equation

Katsunori Iwasaki, Takato Uehara

RIMS Kokyuroku Bessatsu, B2 73-88, 2007 Peer-reviewedInvited
Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painleve equation of type VI, Part I - Dedicated to Professor Kyoichi Takano on his 60th birthday

Michi-aki Inaba, Katsunori Iwasaki, Masa-Hiko Saito

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 42(4) 987-1089, Dec, 2006 Peer-reviewed

Misc.

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))

丸山祐造, 岩崎克則

日本統計学会誌, 33(3) 412-412, 2003
25pXB-6 Generating function associated with the Yablonski-Vorob'ev polynomials

Iwasaki K., Kajiwara K., Nakamura T.

Meeting abstracts of the Physical Society of Japan, 57(1) 259-259, Mar 1, 2002
A HAMILTONIAN SYSTEM ON THE FUCHSIAN MODULI SPACE(Algebraic Analysis and Number Theory)

IWASAKI KATSUNORI

810 79-84, Sep, 1992

Presentations

170

Around hypergeometric groups

Katsunori Iwasaki

Mar 10, 2022
Siegel disks on K3 surfaces and Picard numbers

Yuta Takada, Katsunori Iwasaki

Sep 15, 2021
Hypergeometric groups, K3 lattices, and root systems

Yuta Takada, Katsunori Iwasaki

Jan 6, 2021
From hypergeometric groups to Siegel disks on K3 surfaces

Katsunori Iwasaki, Yuta Takada

Sep 22, 2020
Hypergeometric groups and dynamics on K3 surfaces

Katsunori Iwasaki

Hokkaido University Mathematics Colloqium, Feb 4, 2020 Invited
Hypergeometric groups and K3 lattices

Katsunori Iwasaki

Differential Systems: from Theory to Computer Mathematics, Dec 5, 2019 Invited
On lattices generated by hypergeometric groups

Katsunori Iwasaki

Kumamoto University Mathematics Colloqium, Oct 30, 2019 Invited
Discrete Laplace method and hypergeometric continued fractions

Katsunori Iwasaki

15th International Conference on Orthogonal Polynomials, Special Functions and Applications, Jul 23, 2019 Invited
Discrete steepest descent method and Gauss continued fraction

Katsunori Iwasaki

Workshop on accessary parameters, Mar 13, 2019
Discrete saddle point method for hypergeometric functions and its applications

Katsunori Iwasaki

Around differential equations and inverse problems, Mar 9, 2019 Invited
超幾何連分数の漸近展開

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, Sep 18, 2018 Invited
超幾何連分数の誤差評価 Error estimates for hypergeometric continued fraction

岩崎克則

アクセサリ・パラメータ研究会，熊本大学理学部, Mar 15, 2018
超幾何級数の離散鞍点法とその応用

岩崎克則

超幾何方程式研究会 2018，神戸大学理学部, Jan 7, 2018
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

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, Sep 21, 2017 Invited
超幾何級数の漸近挙動と離散鞍点法

岩崎克則

超幾何学校 2017，小樽商科大学, Sep 4, 2017
超幾何連分数について

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, Sep 28, 2016 Invited
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

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, Aug 2, 2016
パンルヴェ方程式の幾何学

岩崎克則

幾何学コロキウム，北海道大学, Jun 24, 2016 Invited
超幾何関数の隣接関係式・鞍点法・連分数

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, Mar 23, 2016
超幾何恒等式と超幾何連分数について

岩崎克則

数論幾何・超幾何研究交流会，北海道大学, Mar 10, 2016 Invited

Research Projects

New developments of hypergeometric functions and hypergeometric groups

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2025
Asymptotic and global analysis of hypergeometric functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2023
Hypergeometric functions and Painleve equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2019

Iwasaki Katsunori, Ebisu Akihito
Developments in Interactions between Algebraic Geometry and Integrable Systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2012 - Mar, 2017

Saito Masa-Hiko, NORO Masayuki, KOIKE Tatsuya, INABA Michi-aki, MORI Shigefumi, MUKAI Shigeru, IWASAKI Katsunori, KANEKO Masanobu, HARAOKA Yoshishige, NAMIKAWA Yoshinori, ISHII Akira, FUJINO Osamu, HOSONO Shinobu, MATSUSHITA Daisuke, ABE Takeshi, IRITANI Hiroshi, TODA Yukinobu, NAKAJIMA Hiraku, NAKAMURA Iku, TANIGUCHI Takashi, ONO Kaoru, ROSSMAN Wayne, MITSUI Kentaro, SANO Taro
Painleve systems, hypergeometric systems and dynamical systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

Iwasaki Katsunori, UEHARA Takato
Study of general hypergeometric functions and integrable systems coming from monodromy preserving deformation

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

KIMURA Hironobu, HARAOKA Yoshishige, NOUMI Masatoshi, IWASAKI Katsunori, SAKAI Hidetaka, NAGOYA Hajime
Geometric moduli theory and its theoretical applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

Nakamura Iku, IWASAKI KATSUNORI, ONO KAORU, TERAO HIROAKI, WENG LIN, ASAKURA MASANORI, ISHII AKIRA, OOMOTO Toru, KATSURA TOSHIYUKI, KATSURADA HIDENORI, SAITO MASAHIKO, ABE NORIYUKI, TANABE KENICHIRO, NAKAMURA KENTARO, HARASHITA SHUSHI, YOSHINAGA MASAHIKO
Development of Integrable Geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

Miyaoka Reiko, KOTANI Motoko, NISHINOU Takeo, UEHARA Taketo, MATSUURA Nozomu, IWASAKI Katsunori, IRITANI Hiroshi, KAJIWARA Kenji, NAGATOMO Yasuyuki, NOMURA Takaaki, YAMADA Kotaro, ISHIKAWA Goo, UMEHARA Masaaki, GUEST Martin, SHODA Toshihiro, FUTAKI Akito, FUJIOKA Atsushi, RASSMAN Wayne, TAMARU Hiroshi
Dynamics on algebraic varieties and Painleve equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2008 - 2012

IWASAKI Katsunori, UEHARA Takato, KAJIWARA Kenji, KAMIMOTO Joe, TSUJII Masato, ISHII Yutaka, TSUDA Teruhisa
New developments and interaction between Algebraic Geometry and Integrable Systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, 2007 - 2011

SAITO Masa-hiko, NOUMI Masatoshi, YOSHIOKA Kota, YAMADA Yasuhiko, OHTA Yasuhiro, YAMAKAWA Daisuke, FUKAYA Kenji, INABA Michiaki, TAKASAKI Kanehisa, MORI Shigefumi, MUKAI Shigeru, IWASAKI Katsunori, KANEKO Masanobu, HARAOKA Yoshishige, NAMIKAWA Yoshinori, ISHII Akira, FUJINO Osamu, HOSONO Shinobu, MATSUSHITA Daisuke, YOSHINAGA Masahiko, KOIKE Tatsuya, MOCHIZUKI Takuro, IRITANI Hiroshi, HARASHITA Shushi, TODA Yukinobu
Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

KIMURA Hironobu, HARAOKA Yoshishige, TANABE Susumu, MISAWA Masashi, FURUSHIMA Mikio, OKAMOTO Kazuo, IWASAKI Katsunori, SHIMOMURA Shun, KAWAMUKO Hiroyuki
Theory of Painleve systems and its new development

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

KAJIWARA Kenji, SHIRAI Tomoyuki, IWASAKI Katsunori, NOUMI Masatoshi, YAMADA Yasuhiko, SAKAI Hidetaka, MASUDA Tetsu, TSUDA Teruhisa
Fusion of geometry and the theory of integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2007 - 2010

MIYAOKA Reiko, OHNITA Yoshihiro, MOTOKO Kotani, SASAKI Takeshi, IWASAKI Katsunori, OYSU Yukio, KAJIWARA Kenji, NAGATOMO Yasuyuki, NAKAYAAHIKI Atsushi, YAMADA Kotaro, FUTAKI Akito, MARTIN Guest, WAYNE Rossman, SHODA Toshihiro, IRITANI Hiroshi, ISHIKAWA Goo, UMEHARA Masaaki, KAWAKUBO Satoshi, TAMARU Hiroshi, FUJIOKA Atsushi, MATSUURA Nozomu, NISHINOU Takeo
Research on geometry related to theta functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2008

MATSUMOTO Keiji, ONO Kaoru, NAKAMURA Iku, SHIMADA Ichiro, IWASAKI Katsunori, TERASOMA Tomohide, YOSHIDA Masaaki, ONO Kaoru, NAKAMURA Iku, IWASAKI Katsunori, SHIMADA Ichiro, TERASOMA Tomohide, YOSHIDA Masaaki
Geometry and global analysis of Pailneve equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2007

IWASAKI Katsunori, KAJIWARA Kenji, KAMIMOTO Joe, SAITO Masa-hiko, INABA Mchiaki, HARAOKA Yoshishige
Development and relations between various geometries and integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2004 - 2007

MIYAOKA Reiko, YAMADA Kotaro, IWASAKII Katunori, KAJIWARA Kenji, NAKAYASHIKI Atsushi, NAGATOMO Yasuyuki
Inverse Problems in Nonlinear Phenomena

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2006

KAMIMURA Yutaka, IWASAKI Katsunori, TSUBOI Kenji, NAKASHIMA Kimie
General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoods

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2003 - 2006

KIMURA Hironobu, HARAOKA Yoshishige, TABABE Susumu, FURUSHIMA Mikio, MISAWA Masashi, IWASAKI Katsunori
Mathematical theory of dynamical systems of Painleve type

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2003 - 2006

KAJIWARA Kenji, NOUMI Masatoshi, YAMADA Yasuhiko, IWASAKI Katsunori
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

科学研究費助成事業, 萌芽研究, 日本学術振興会, 2003 - 2005

岩崎克則, 石井豊