Katsuhiko Matsuzaki

Profile Information

Affiliation: Professor, Faculty of Education and Integrated Arts and Sciences School of Education, Waseda University

Degree: 京都大学博士（理学）(Mar, 1992)

Researcher number: 80222298
ORCID iD: https://orcid.org/0000-0003-0025-5372
J-GLOBAL ID: 201001002503552142
Researcher ID: Q-7406-2018
researchmap Member ID: 6000023662

External link: http://matsuzak.w.waseda.jp/

Research Interests

Research Areas

Research History

Apr, 2010 - Present

Faculty of Education and Integrated Arts and Sciences, Waseda University
Apr, 2006 - Mar, 2010

The Graduate School of Natural Science and Technology, Okayama University
Apr, 2005 - Mar, 2006

Faculty of Science, Ochanomizu University
Oct, 1995 - Mar, 2005

Faculty of Science, Ochanomizu University
Oct, 1990 - Sep, 1995

School of Science, Tokyo Institute of Technology

Education

Apr, 1989 - Sep, 1990

Division of Mathematics, Graduate School of Science, Kyoto University
Apr, 1987 - Mar, 1989

Graduate School, Division of Natural Science, Kyoto University
Apr, 1983 - Mar, 1987

Faculty of Science, Kyoto University

Awards

Sep, 2022

解析学賞, 日本数学会
Nov, 1996

建部賢弘賞, 日本数学会

Papers

Characterization of asymptotically smooth chord-arc curves

Katsuhiko Matsuzaki, Fei Tao

Revista Matemática Complutense, Sep 8, 2026 Peer-reviewed
Weil–Petersson curves and Dirichlet finite harmonic functions on Riemann surfaces

Katsuhiko MATSUZAKI

Interdisciplinary Information Sciences, 32(1) 62-75, Mar, 2026 Peer-reviewed
The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class II

Katsuhiko Matsuzaki

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 555(1), Mar 1, 2026 Peer-reviewed
Chordal Loewner chains and Teichmüller spaces on the half-plane

Katsuhiko Matsuzaki, Huaying Wei

MATHEMATISCHE ZEITSCHRIFT, 312(2), Jan 31, 2026 Peer-reviewed
A FIBER BUNDLE OVER BMO TEICHMU<spacing diaeresis>LLER SPACE

Katsuhiko Matsuzaki

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY SERIES B, 13 9-19, Jan 7, 2026 Peer-reviewed
Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces

Katsuhiko Matsuzaki, Huaying Wei

Arkiv för Matematik, 64(1) 149-180, 2026 Peer-reviewed
Simultaneous uniformization of chord-arc curves and BMO Teichmuller space

Katsuhiko Matsuzaki

EMS SURVEYS IN MATHEMATICAL SCIENCES, Dec 8, 2025 Peer-reviewed
Bi-Lipschitz quasiconformal extensions

Katsuhiko Matsuzaki

Complex Geometric Analysis, Springer Proceedings in Mathematics & Statistics, 481 145-160, Mar 26, 2025 Peer-reviewed
The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class

Katsuhiko Matsuzaki

Journal of Mathematical Analysis and Applications, 540(1), Dec 1, 2024 Peer-reviewed
Strongly symmetric homeomorphisms on the real line with uniform continuity

Huaying Wei, Katsuhiko Matsuzaki

Indiana University Mathematics Journal, 72(4) 1553-1576, Sep, 2023 Peer-reviewed
Parametrization of the p-Weil–Petersson curves: holomorphic dependence

Huaying Wei, Katsuhiko Matsuzaki

Journal of Geometric Analysis, 33(9), Sep, 2023 Peer-reviewed
The p-integrable Teichmüller space for p≥1

Huaying Wei, Katsuhiko Matsuzaki

Proceedings of the Japan Academy Series A: Mathematical Sciences, 99(6) 37-42, Jun, 2023 Peer-reviewed
BMO embeddings, chord-arc curves, and Riemann mapping parametrization

Huaying Wei, Katsuhiko Matsuzaki

Advances in Mathematics, 417, Mar, 2023 Peer-reviewed
The VMO-Teichmüller space and the variant of Beurling–Ahlfors extension by heat kernel

Huaying Wei, Katsuhiko Matsuzaki

Mathematische Zeitschrift, 302(3) 1739-1760, Nov, 2022 Peer-reviewed
The p-Weil–Petersson Teichmüller space and the quasiconformal extension of curves

Huaying Wei, Katsuhiko Matsuzaki

Journal of Geometric Analysis, 32(8) 213, May, 2022 Peer-reviewed
Space of chord-arc curves and BMO/VMO Teichmüller space

Katsuhiko Matsuzaki, Huaying Wei

Annales Fennici Mathematici, 48(1) 27-42, 2022 Peer-reviewed
Teichmüller spaces of piecewise symmetric homeomorphisms on the unit circle

Huaying Wei, Katsuhiko Matsuzaki

Pacific Journal of Mathematics, 314(2) 495-514, Oct, 2021 Peer-reviewed
Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion

Huaying Wei, Katsuhiko Matsuzaki

Analysis and Mathematical Physics, 11(2), Jun, 2021 Peer-reviewed
Beurling–Ahlfors extension by heat kernel, A∞-weights for VMO, and vanishing Carleson measures

Huaying Wei, Katsuhiko Matsuzaki

Bulletin of the London Mathematical Society, 53(3) 723-739, Jun, 2021 Peer-reviewed
Teichmüller spaces of generalized symmetric homeomorphisms

Huaying Wei, Katsuhiko Matsuzaki

Proceedings of the American Mathematical Society, Series B, 7 52-66, May, 2020 Peer-reviewed

Misc.

BMOA and little Bloch functions and a geometric construction of chord-arc curves

Research on Real, Complex and Functional Analysis, RIMS Kôkyûroku, 2352 25-35, Jul, 2026
非ユークリッド幾何学／幾何学とは何かの認識

松崎克彦

数学セミナー, 16-21, Sep, 2025 Invited
可積分タイヒミュラー空間の理論 - ヴェイユ・ピーターソン曲線上の解析（関数空間を中心とした実解析・複素解析・函数解析の総合的研究）

松崎克彦

数理解析研究所講究録, 2283 23-38, Jun, 2024 Invited
書評 L.V.アールフォルス(谷口雅彦訳) : 擬等角写像講義,数学クラシックス,29,丸善出版,2015年,168ページ

松崎克彦

数学, 72(1) 94-98, 2020 Peer-reviewedInvited
無限次元タイヒミュラー空間の問題 (複素幾何学の諸問題)

松崎克彦

数理解析研究所講究録, 1731 28-39, Mar, 2011
Appendix G. The Denjoy-Wolff theorem

Katsuhiko Matsuzaki

Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society, 303-305, 2011 Invited
Appendix D. Kleinian groups

Katsuhiko Matsuzaki

Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society, 295-296, 2011 Invited
Structure theorem for holomorphic self-covers of Riemann surfaces and its applications (Infinite dimensional Teichmuller spaces and moduli spaces)

FUJIKAWA Ege, MATSUZAKI Katsuhiko, TANIGUCHI Masahiko

RIMS Kokyuroku Bessatsu, 17 21-36, Jun, 2010 Peer-reviewed
An averaging operator and non-separability of certain Banach spaces of holomorphic automorphic forms (Infinite dimensional Teichmuller spaces and moduli spaces)

MATSUZAKI Katsuhiko

RIMS Kokyuroku Bessatsu, 17 65-72, Jun, 2010 Peer-reviewed
Properties of asymptotically elliptic modular transformations of Teichmuller spaces (Infinite dimensional Teichmuller spaces and moduli spaces)

MATSUZAKI Katsuhiko

RIMS Kokyuroku Bessatsu, 17 73-84, Jun, 2010 Peer-reviewed
The projection of limit sets of modular groups on asymptotic Teichmüller spaces

E. Fujikawa, K. Matsuzaki

Proceedings of the 16th ICFIDCAA, Dongguk Univ., Daeyang Printing, 86-92, 2009
An example of self-covering of Riemann surface

K. Matsuzaki, Y. Yabuki

Proceedings of the 16th ICFIDCAA, Dongguk Univ., Daeyang Printing, 86-92, 2009
ポアンカレと非ユークリッド幾何学 (特集ポアンカレ--知の巨人が放った創造性の至宝)

松崎克彦

数理科学, 46(10) 18-24, Oct, 2008
A remark on quadratic differentials vanishing at infinity(Complex Analysis and Geometry of Hyperbolic Spaces)

MATSUZAKI KATSUHIKO

RIMS Kokyuroku, 1518 144-145, Oct, 2006
The dynamics on Teichmuller spaces induced by holomorphic self-coverings(Complex Dynamics and its Related Fields)

Fujikawa Ege, Matsuzaki Katsuhiko, Taniguchi Masahiko

RIMS Kokyuroku, 1494 44-48, May, 2006
微小時間の無限大/レビュー『博士の愛した数式』 (特集美しき数式の世界)

松崎克彦

数学セミナー, 45(2) 42-45, Feb, 2006
函数論的クライン群論が残したもの (特集サーストン・プログラムと双曲幾何)

松崎克彦

数学セミナー, 44(3) 22-25, Mar, 2005
擬対称写像とタイヒミュラーモジュラー群

松崎克彦

総合講演・企画特別講演アブストラクト, 2005 41-50, 2005 Invited
Dynamics of Teichmuller modular groups and general topology of moduli spaces : Announcement (Perspectives of Hyperbolic Spaces II)

Matsuzaki Katsuhiko

RIMS Kokyuroku, 1387 81-94, Jul, 2004
An extension of the collar lemma (Perspectives of Hyperbolic Spaces)

Matsuzaki Katsuhiko

RIMS Kokyuroku, 1329 58-61, Jun, 2003

Books and Other Publications

Topics in finite or infinite dimensional complex analysis : proceedings of the 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, December 11-15, 2011, Aster Plaza, Hiroshima, Japan

Katsuhiko Matsuzaki, Toshiyuki Sugawa

Tohoku University Press, 2013 (ISBN: 9784861632198)
Hyperbolic Manifolds and Kleinian Groups

Katsuhiko Matsuzaki, Masahiko Taniguchi

Oxford University Press, Apr, 1998 (ISBN: 9780198500629)
双曲的多様体とクライン群

谷口雅彦, 松崎克彦

日本評論社, 1993 (ISBN: 9784535782020)

Professional Memberships

日本数学会

Research Projects

Loewner equation and Teichmueller space theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2023 - Mar, 2028
レブナー方程式とタイヒミュラー空間論

科学研究費助成事業基盤研究(B), 基盤研究(B), 日本学術振興会, Apr, 2023 - Mar, 2028

松崎克彦
画像処理における２次元曲線の変形の効率化と等角接合による認証

科学研究費助成事業, 挑戦的研究(萌芽), 日本学術振興会, Jun, 2023 - Mar, 2026

松崎克彦
Quasiconformal extension in differential geometry and theory of the universal Teichmueller space in harmonic analysis

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2023
Theory of the universal Teichmüller space in harmonic analysis

Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows, Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2023
Analysis of elliptic operators and its applications to Geometric Function Theory

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2022
Researches on the spectrum of critical exponents of normal subgroups and the rigidity of cogrowth for hyperbolic discrete groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2020

Matsuzaki Katsuhiko
Research on the Weil-Petersson metric of infinite dimensional Teichmueller spaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2019

Matsuzaki Katsuhiko, YANAGISHITA Masahiro
Research on the Teichmuller spaces of fractal structures

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2018

Taniguchi Masahiko, Fujimura MASAYO, Matsuzaki KATSUHIKO, Fujikawa EGE
Thermodynamic formalism for conformal semigroup actions

Grants-in-Aid for Scientific Research Grant-in-Aid for Research Activity Start-up, Grant-in-Aid for Research Activity Start-up, Japan Society for the Promotion of Science, Aug, 2015 - Mar, 2017

Jaerisch Johannes, SUMI Hiroki, MATSUZAKI Katsuhiko, KESSEBÖHMER Marc, STADLBAUER Manuel, MUNDAY Sara
Resolution of conjugation problems on circle diffeomorphism groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2016

Matsuzaki Katsuhiko, TANIGUCHI MASAHIKO, FUJIKAWA EGE
熱力学形式によるクライン群の幾何の研究

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, Apr, 2014 - Mar, 2015

松崎克彦, JAERISCH Johannes
Various aspects on the study of Geometric Function Theory

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

SUGAWA Toshiyuki, SHIGA Hiroshige, YANAGIHARA Hiroshi, SAKAN Ken-ichi, MATSUZAKI Katsuhiko, FUJIKAWA Ege, MIZUTA Yoshihiro, TANIGUCHI Masahiko, FUJIWARA Koji, ABE Makoto
Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2008 - Mar, 2013

MATSUZAKI Katsuhiko, TANIGUCHI Masahiko, SUGAWA Toshiyuki, SAKAN Kenichi, SHIGA Hiroshige, NAKANISHI Toshihiro, MIYACHI Hideki, ITO Kentaro, FUJIKAWA Ege
複素力学系の群論への応用:Burnside問題とHopf問題

科学研究費萌芽研究, 萌芽研究, 岡山大学・早稲田大学, Apr, 2008 - Mar, 2011

松崎克彦
グロタンディークデッサンと非合同的タイヒミュラー被覆の数論

科学研究費助成事業(萌芽研究), 萌芽研究, 科学研究費助成事業(岡山大学), 2007 - 2009

中村博昭, 鳥居猛, 鈴木武史, 吉野雄二, 山田裕史, 松崎克彦, 廣川真男, 石川佳弘
New development of geometric function theory focused on conformal invariants

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

SUGAWA Toshiyuki, MIZUTA Yoshihiro, SAKAN Ken-ichi, SHIBA Masakazu, YOSHINO Masafumi, TANIGUCHI Masahiko, SHIGA Hiroshige, MATSUZAKI Katsuhiko, NAKAHISNI Toshihiro, SHIMOMURA Tetsu
Research on deformations of real and complex manifolds and variations of invariants

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

SHIGA Hiroshige, AIKAWA Hiroaki, SUGAWA Toshiyuki, MURATA Minoru, MATSUZAKI Katsuhiko, NOGUCHI Junjiro, MIYAJIMA Kimio, IMAYOSHI Yoichi, SHISHIKURA Mitsuhiro, SUMI Hiroki
Researches on quasiconformal groups and the modular group of the universal Teichmuller space

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

MATSUZAKI Katsuhiko, TANIGUCHI Masahiko, NAKANISHI Toshihiro, SHIGA Hiroshige, SUGAWA Toshiyuki, SAKAN Kenichi
Dynamics of modular groups on infinite dimensional Teichmuller spaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2002 - 2003

MATSUZAKI Katsuhiko, SUGAWA Toshiyuki

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