Rchr
J-GLOBAL ID：201001002503552142
Update date: Dec. 09, 2024
Matsuzaki Katsuhiko
マツザキ カツヒコ | Matsuzaki Katsuhiko
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
http://matsuzak.w.waseda.jp/
Research field (2)：
Geometry
, Basic analysis
Research keywords (2)：
複素解析学
, Hyperbolic Geometry
Research theme for competitive and other funds (34)：
- 2023 - 2028 レブナー方程式とタイヒミュラー空間論
- 2023 - 2026 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
- 2018 - 2023 Quasiconformal extension in differential geometry and theory of the universal Teichmueller space in harmonic analysis
- 2021 - 2023 Theory of the universal Teichmüller space in harmonic analysis
- 2017 - 2022 Analysis of elliptic operators and its applications to Geometric Function Theory
- 2016 - 2020 Researches on the spectrum of critical exponents of normal subgroups and the rigidity of cogrowth for hyperbolic discrete groups
- 2013 - 2019 Research on the Weil-Petersson metric of infinite dimensional Teichmueller spaces
- 2015 - 2018 Research on the Teichmuller spaces of fractal structures
- 2015 - 2017 Thermodynamic formalism for conformal semigroup actions
- 2012 - 2016 Resolution of conjugation problems on circle diffeomorphism groups
- 2014 - 2015 熱力学形式によるクライン群の幾何の研究
- 2010 - 2015 Various aspects on the study of Geometric Function Theory
- 2008 - 2013 Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- 2008 - 2011 複素力学系の群論への応用:Burnside問題とHopf問題
- 2007 - 2009 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
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2005 - 2008 Research on deformations of real and complex manifolds and variations of invariants
- 2004 - 2007 Researches on quasiconformal groups and the modular group of the universal Teichmuller space
- 2002 - 2003 Dynamics of modular groups on infinite dimensional Teichmuller spaces
- 2000 - 2002 リーマン面上の射影構造の離散的ホロノミー表現の研究
- 2001 - 2002 Analysis of Complex Dynamics
- 1999 - 2001 Potential theory in a domain with fractal boundary
- 1997 - 1999 クライン群の離散表現の集合の構造
- 1997 - 1999 Deformation theory of Kleinian groups
- 1996 - 1997 クライン群と複素力学系の研究
- 1996 - 1997 STUDY OF SELF-SIMILAR PROCESSES
- 1995 - 1995 リーマン面のスペクトル理論
- 1994 - 1995 双曲的多様体の剛性と離散群のエルゴード性の研究
- 1993 - 1994 双曲的三次元多様体とクライン群
- 1992 - 1992 多様体上の複素解析
- 複素構造の解析学的・幾何学的研究
- 複素多様体からの群の表現の解析
- Study of various problems in mathematical physics
- 幾何学的複素解析とポテンシャル論
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Papers (78)：
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Katsuhiko Matsuzaki. The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class. Journal of Mathematical Analysis and Applications. 2024. 540. 1
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Huaying Wei, Katsuhiko Matsuzaki. Parametrization of the p-Weil-Petersson curves: holomorphic dependence. Journal of Geometric Analysis. 2023. 33. 9
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Huaying Wei, Katsuhiko Matsuzaki. The p-integrable Teichmüller space for p≥1. Proceedings of the Japan Academy Series A: Mathematical Sciences. 2023. 99. 6. 37-42
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Huaying Wei, Katsuhiko Matsuzaki. BMO embeddings, chord-arc curves, and Riemann mapping parametrization. Advances in Mathematics. 2023. 417
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Huaying Wei, Katsuhiko Matsuzaki. Strongly Symmetric Homeomorphisms on the Real Line with Uniform Continuity. Indiana University Mathematics Journal. 2023. 72. 4. 1553-1576
ｍore...
MISC (32)：
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松崎克彦. 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). 数理解析研究所講究録. 2024. 2283. 23-38
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松崎 克彦. 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. 数学. 2020. 72. 1. 94-98
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松崎 克彦. 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). 数理解析研究所講究録. 2011. 1731. 28-39
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Katsuhiko Matsuzaki. Appendix G. The Denjoy-Wolff theorem. Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society. 2011. 303-305
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Katsuhiko Matsuzaki. Appendix D. Kleinian groups. Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society. 2011. 295-296
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Books (3)：
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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
Tohoku University Press 2013 ISBN:9784861632198
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Hyperbolic Manifolds and Kleinian Groups
Oxford University Press 1998 ISBN:9780198500629
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双曲的多様体とクライン群
日本評論社 1993 ISBN:9784535782020
Education (2)：
- 1987 - 1989 Kyoto University Graduate School, Division of Natural Science
- 1983 - 1987 Kyoto University Faculty of Science
Professional career (1)：
Work history (5)：
- 2010/04 - 現在 Waseda University Faculty of Education and Integrated Arts and Sciences
- 2006/04 - 2010/03 Okayama University The Graduate School of Natural Science and Technology
- 2005/04 - 2006/03 Ochanomizu University Faculty of Science
- 1995/10 - 2005/03 Ochanomizu University Faculty of Science
- 1990/10 - 1995/09 Tokyo Institute of Technology School of Science
Awards (2)：
- 2022/09 - 日本数学会 解析学賞
- 1996/11 - 日本数学会 建部賢弘賞
Association Membership(s) (1)：
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