NAKANISHI Toshihiro 中西敏浩

… Alternative Names

Researcher Number	00172354
Other IDs
Affiliation (Current)	2020: 島根大学, 学術研究院理工学系, 教授
Affiliation (based on the past Project Information) *help	2018 – 2020: 島根大学, 学術研究院理工学系, 教授 2016 – 2017: 島根大学, 総合理工学研究科, 教授 2012 – 2016: 島根大学, 総合理工学研究科(研究院), 教授 2014: 島根大学, 総合理工学部, 教授 2012: 島根大学, 総合理工学研究科, 教授 … More
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Basic analysis / Basic analysis / Geometry / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Geometry … More
Keywords	Principal Investigator リーマン面 / タイヒミュラー空間 / 双曲幾何学 / 写像類群 / 双曲幾何 / クライン群 / 射影構造 / 不連続群 / 離散群論 / 複素射影構造 … More Except Principal Investigator クライン群 / タイヒミュラー空間 / リーマン面 / ショットキイ群 / Kleinian group / ショットキイ空間 / 離散群 / 調和写像 / 擬等角写像 / 写像類群 / モジュライ空間 / 擬凸領域 / 双曲空間 / ヨルゲンセン群 / ヨルゲンセンの不等式 / Schottky group / Schottky space / Jorgensen group / Teichmuller space / ヨルゲンセン数 / 結晶格子 / シュワルツ微分 / 複素解析 / 双曲幾何 / フックス群 / L^2正則関数 / Jorgensen's inequality / 双曲多様体 / 不連続群 / マルコフ過程 / ショットキー群 / ハウスドルフ次元 / 表現公式 / 組合せ調和写像 / 極小曲面 / 射影構造 / 双曲計量 / 2橋結び目 / small cancellation theory / 擬フックス群 / 擬対称写像 / 幾何学的群論 / ベアス埋め込み / Levi平坦 / 山辺不変量 / Bergman核 / Bergman計量 / 拡張定理 / Bergman空間 / hyperbolic space / シンプレクティック多様体 / 単純分割閉曲線 / タイヒミュラーモジュラー群 / 一次変換 / 実解析多様体 / discrete group / Riemann surface / simple dividing loop / Teichmuller modular group / Mobius transformation / real analytic manifold / 大偏差原理 / ピカール群 / ホワイトヘッドリンク / リーマン面の一意化 / Jorgensen number / MarKou Processes / Mobius groups / Normality of σーproducts / Schottky groups / Teichmuler spaces / Banacl spaces / Petlis sets / Storage processes / タイヒミコラ-空間 / メ-ビウス群 / バンツハ空間 / 弱ペテイス集合 / ω-無矛盾性 / バナッハ空間 / 弱プレコンパクト集合 / ペッティス集合 / 積空間 / ラムダ計算 / 反自双対4次元多様体 / symplectic多様体 / Seiberg-Witten理論 / 平均曲率一定曲面 / ランダム群 / 固定点性質 / CAT(0)空間 / 不変量δ / 歪み係数 / (動径的)歪み係数 / 四元数CR多様体 / ツイスター空間 / 超CR多様体 / 超剛性定理 / トレース恒等式 / 定スカラー曲率ケーラー計量 / くりこみ群 / スケール極限 / 確率過程 / 力学系 / 非マルコフ / 自己回避経路 / 二分木 / 無限粒子系 / 確率ランキング模型 / Burgers方程式 / 固定点の唯一性 / 自己回避路 / 高次元ガスケット / 確率連鎖 / 流体力学極限 / 数理ファイナンス / ブラックショールズ / 非マルコフ確率過程 / 自己抑制経路 / 変位の指数 / 等角不変量 / ポテンシャル論 / ハーディー空間 / 幾何学的函数論 / ハーディ族 / 局所-様単葉函数 / Smale予想 / 単葉函数 / Bazilevic函数 / 超幾何函数 / 3次元多様体 / ヘガード分解 / 幾何構造 / 双曲構造 / 穴あきトーラス / 曲面束 / Cannon-Thurston map / 標準的分割 / へガード分解 / Cannon-Thurston写像 / Canonical decomposition / Cannon-Thurston-Dicks分解 / 穴あきトーラス束 / 強可逆結び目 / 垣水複体 / Montesinos knot / virtual fiber / ザイフェルト曲面 / メビウス変換群 / フツクス群 / 複素力学系 / ジーゲル円板 / 連分数展開 / 2-bridge knot / 2-bridge link / bridge decomposition / Heegaard splitting / McShane's identity / cusp shape / ２橋結び目 / モノドロミー群 / Heckoid group / Heegaard decomposition / Heckoid orbifold / McShaneの等式 / free period / 2橋球面 / 解消トンネル / 楕円的モンテシノス絡み目 / 等角重心拡張 / 複素解析学 / 関数論 / 幾何学 / 微分幾何学 / 微分幾何 / デデキント和 / 数論関数 / エータ関数 / 保型形式 / モジュラー群 / 作用素の半群 / 生成作用素 / Kroneckerの極限公式 / L^2評価 / Levi-平坦 / L^2評価式 / hyperconvexity / 射影空間 / Levi-flat / L^2 estimates / Kronecker's limit formula / ヴィラゾロ代数 / アファイン・リー環 / 共形場理論 / アファイン・ヘッケ環 / KZ方程式 / 退化型双アファイン・ヘッケ環 / Virasoro algebra / Affine Lie algebra / Conformal Field theory / Affine Hecke algebra / Seiberg-Witten方程式 / Schottky群 / スペクトル距離 / CR構造 / アーベル微分 / 重力理論 / ゲージ理論 / Yamabe Invariant / Seiberg-Witten Equations / Schottky Group / Spectral Distance / Moduli Space / Discrete Group / CR structure / Abelian Differential / 測地線の複素化 / 割算問題 / Bergman計算 / ^∂_-方程式 / 皆既関数 / 超擬凸 / L^2拡張定理 / Bergman Kernel / LィイD12ィエD1 holomorphic function / Pseudoconvex domain / Bergman metric / Complexification of gid / Extension theorem / Division theorem / シヨツトキイ群 / シヨツトキイ空間 / Hausdorff dimension / 測定つき葉層 / 測度つき葉層 / Measured lamination / Riemany surfaces / projective structures / Kleinian groups / measured laminations / hyperbolic spaces / ヤン・ミルズ勾配流 / ケーラー計量 / サイバーグ・ウィッテン方程式 / 負曲率多様体 / 接触構造 / CR幾何 / ビルディング / サイバーグ・ウィテン方程式 / 四元数双曲空間 / 共形的作用 / サイバーグ―ウィッテン理論 / 擬正則曲線 / Yang-Mills gradient flow / Kahler metric / Seiberg-Witten quations / negatively curved manifold / contact structure / CR geometry / building / 大域座標 / byperbolic manifold / アノソフ系 / 有界コホモロジー / 射影的アノソフ流 / 剛性問題 / スペクトル / 高階アーベル群のアノソフ作用 / 無限小剛性 / 組合せ的調和写像 / 等長作用に対する固定点定理 / スペクトル端のリプシッツ連続性 / CAT(O)-次元 / 群作用 / 剛性 / Klein群 / Gelfand-Fuks コホモロジー / 微分同相群 / キャリブレーション形式 / Anosov systems / bounded cohomology / harmonic map / large deviation / projectively Anosov flow / rigidity problem / spectrum / δ^-方程式 / Levi平坦性 / L^2割算定理 / 付着複素曲線 / Bergman核関数 / Hefer分解 / ∂^^-方程式 / L^2正則関数の拡張 / Pseudoconvox domain / ∂^^- equation / L^2 holomorphic function / Levi flatness / L^2 division theorem / Adherent complex curve / Bergman kernel / Hefer decomjposition / Jorgensen's inequalitu / Picard group / Whitehead link / 固定点定理 / 四元数CR構造 / 対数微分の補題 / SL(2,C)表現空間 / シンプレクティックフィリング / 擬フックス群の変形空間 / 四元数CR幾何 / 磁場付き推移作用素 / A_∞代数 / フレアーコホモロジー / レヴィ形式 / 実超曲面 / 標準ケーラー計量 / 磁場的推移作用素 / 特異3次元トーラス / 四元数多様体 / 格子の剛性 / 有理型写像 / 超剛性 / 値分布論 / 離散群の表現 / fixed point theorem / quaternionic CR structure / minimal surface / lemma of logarithmic derivative / SL(2,C) representation space / crystal lattice / symplectic filling / deformation space of q.Fuchsian group / 解散群 / hyperbolic manifold / 複素多様体 / 正則ベクトル束 / ケーラー多様体 / スタイン多様体 / コモホロジー入射性定理 / ∞でのベルグマン核の挙動 / レヴィ平坦超曲面 / 2次元複素トーラス / 変形剛性 / 強擬凸領域 / Hardy空間 / コホモロジー入射性定理 / モデル領域 / 漸近解析 / complex manifolds / holomorphic vector bundle / extension theorem / Levi flat / Kahler manifolds / Stein manifolds / ホワイトヘッドリンク群 / Whitehead link group / Uniformization of Riemann surface / 容量密度条件 / 調和測度 / 調和関数 / 一様領域 / ベルグマン空間 / Dirac方程式 / ソボレフ関数 / 放物型方程式 / 関数微分方程式 / 内部一様領域 / Carleson評価 / Fatou定理 / 熱方程式 / capacity density condition / harmonic measure / harmonic function / uniform domain / Bergman space / Dirac equation / Sobolev function / parabolic equation / 双曲面 / 双曲幾何学 / 漸近的等角写像 / 正則二次微分 / Mapping class group / Quasiconformal map / Hyperbolic surface / Fuchsian group / 古典的ショットキイ群 / 三角群 / 3次元双曲多様体 / classical Schottky group / uniformization of a Riemann surface / クライン面 / 極値的円板 / 自己同型群 / 解析学 / ランダム複素力学系 / ランダム力学系 / 正則写像半群 / フラクタル / ランダム性誘起現象 Less

Research on random real and complex dynamical systems, semigroups of holomorphic maps and fractal geometryOngoing
- Principal Investigator
  
  角大輝
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyoto University
A study on dynamical system of the Teichmuller modular group represented by a group of rational transformationsPrincipal InvestigatorOngoing
- Principal Investigator
  
  中西敏浩
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Shimane University
Study on the representation of Teichmuller modular groups as a group of rational transformationsPrincipal Investigator
- Principal Investigator
  
  Nakanishi Toshihiro
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Research on the Weil-Petersson metric of infinite dimensional Teichmueller spaces
- Principal Investigator
  
  Matsuzaki Katsuhiko
- Project Period (FY)
  2013 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Analysis of extremal Riemann surfaces and Klein surfaces
- Principal Investigator
  
  NAKAMURA Gou
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Aichi Institute of Technology
Geometric structure and combinatorial structure of 3-dimensional manifolds
- Principal Investigator
  
  SAKUMA MAKOTO
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Applications of global coordinate systems for the representation spaces of punctured surface groupsPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Toshihiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Elucidation of the boundary of various Siegel disks influenced by continued fraction expansions
- Principal Investigator
  
  KATAGATA Koh
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Ichinoseki National College of Technology
Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
- Principal Investigator
  
  MATSUZAKI Katsuhiko
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
  Okayama University
Heegaard structures and geometric structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto (MAKOTO Sakuma)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
  Osaka University
Study of projective structures on Riemann surfaces and its applications to hyperbolic manifolds and complex dynamical systemsPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Toshihiro
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Study of rigidity of discrete groups by geometric methods
- Principal Investigator
  
  NAYATANI Shin
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Towards a mathematical foundation of renormalization group oriented stochastic analysis
- Principal Investigator
  
  HATTORI Tetsuya
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
New development of geometric function theory focused on conformal invariants
- Principal Investigator
  
  SUGAWA Toshiyuki
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Hiroshima University
Researches on quasiconformal groups and the modular group of the universal Teichmuller space
- Principal Investigator
  
  MATSUZAKI Katsuhiko
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
  Ochanomizu University
Research on Jorgensen groups and classical Schottky groups
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Potential analysis
- Principal Investigator
  
  AIKAWA Hiroaki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
  Shimane University
Global complex analysis - around L^2 holomorphic functions
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Research on Jorgensen groups and Schottky spaces
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Study of Discrete Subgroups of Rank 1 Simple Groups by Geometric Methods
- Principal Investigator
  
  NAYATANI Shin
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Research on discrete groups and profective strucutures on Riemann surfacesPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Toshihiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Analysis and Geometry of the Teichmuller Spaces
- Principal Investigator
  
  OKUMURA Yoshihide
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Diffeomorphism groups --from a view point of rigidity problem
- Principal Investigator
  
  KANAI Masahiko
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Development of Geometric Complex Analysis
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Research on Schottky spaces and Jorgensen groups
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Geometry and Analysis of Strongly Pseudoconvex CR Structure and Contact Structure
- Principal Investigator
  
  NAITO Hisashi, 納谷信
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
TEICHMULLER SPACES AND GEOMETRY OF MOBIUS TRANSFORMATIONS
- Principal Investigator
  
  OKUMURA Yoshihide
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHIZUOKA UNIVERSITY
Complex analysis of Bergman spaces and α-cohomology
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Research on Schottky groups and Schottky spaces
- Principal Investigator
  
  SATO Hiroki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
Research on projective structures Riemaun surfaces from analytic and geometric vieupo
- Principal Investigator
  
  TANIGAWA Harumi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
  Nagoya University
two dimensional quantum field theory and representation theory
- Principal Investigator
  
  TSUCHIYA Akihiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
Global Analysis for Geometric Structures and Topological Invariants
- Principal Investigator
  
  AKUTAGAWA Kazuo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shizuoka University
Study of metric properties of Teichmuller spacesPrincipal Investigator
- Principal Investigator
  
  NAKANISHI Toshihiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
微分幾何学と大域解析学の研究
- Principal Investigator
  
  AKUTAGAWA Kazuo
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shizuoka University
COMPLEX ANALYSIS BY THE L METHOD
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
関数解析学と関連分野の研究
- Principal Investigator
  
  松田稔
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
複素解析学と関連分野の研究
- Principal Investigator
  
  佐藤宏樹
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
確率過程と関連分野の研究
- Principal Investigator
  
  近藤亮司
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shizuoka University
タイヒミュラー空間の研究とその応用Principal Investigator
- Principal Investigator
  
  中西敏浩
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
タイヒミュラー空間の研究とその応用Principal Investigator
- Principal Investigator
  
  中西敏浩
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
確率過程と関連分野の研究
- Principal Investigator
  
  近藤亮司
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shizuoka University
確率過程と関連分野の研究
- Principal Investigator
  
  近藤亮司
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shizuoka University
整数論と関連分野の研究
- Principal Investigator
  
  浅井哲也
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shizuoka University

[Journal Article] Generation of finite subgroups of the mapping class group ofgenus 2 surface by Dehn twists2018
- Author(s)
  Gou Nakamura and Toshihiro Nakanishi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 印刷中 Pages: 3585-3594
- DOI
  10.1016/j.jpaa.2018.01.002
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04927, KAKENHI-PROJECT-25400147, KAKENHI-PROJECT-18K03331, KAKENHI-PROJECT-18K03334
[Journal Article] Parametrizations of Teichmuller spaces by trace functions and action of mapping class groups2016
- Author(s)
  Gou Nakamura and Toshihiro Nakanishi
- Journal Title
  
  Conformal Geometry and Dynamics
  
  Volume: 20 Pages: 25-42
- DOI
  10.1090/ecgd/289
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04927, KAKENHI-PROJECT-25400147, KAKENHI-PROJECT-26400140
[Journal Article] Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group2013
- Author(s)
  中村豪,中西敏浩
- Journal Title
  
  Annales Universitatis Mariae Curie-Sklodowska
  
  Volume: Vol.67 Pages: 35-44
- DOI
  10.2478/v10062-012-0020-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] Parametrizations of some Teichmuller spaces by trace functions2013
- Author(s)
  中村豪,中西敏浩
- Journal Title
  
  Conformal Geometry and Dynamics
  
  Volume: Vol.17 Pages: 47-57
- URL
  http://www.ams.org/publications/journals/journalsframework/ecgd
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] Parametrizations of some Teichmuller spaces by tracefunctions2012
- Author(s)
  中村豪,中西敏浩
- Journal Title
  
  数理解析研究所講究録
  
  Volume: Vol.1777 Pages: 62-74
- URL
  http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/kokyuroku.html
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] Paramettrizations of Teichmuller spaces by trace functions2012
- Author(s)
  中西敏浩・中村豪
- Journal Title
  
  数学解析研究所講究録
  
  Volume: 1777 Pages: 62-74
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] A series associated to generating pairs of a once punctured torus group and a proof of McShane's identity2011
- Author(s)
  中西敏浩
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 41 Pages: 11-25
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] An application of Penner's coordinates of Teichmuller space of puncture surfaces, in Infinite dimensional Teichmuller spaces and moduli spaces2010
- Author(s)
  中西敏浩
- Journal Title
  
  RIMS Kokyuroku, Bessatsu
  
  Volume: Vol. B17 Pages: 105-114
- NAID
  110007652294
- URL
  http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] An application of Penner's coordinates of Teichmuller space of punctured surfaces2010
- Author(s)
  Toshihiro Nakanishi
- Journal Title
  
  RIMS Kokyuroku, Bessatsu
  
  Volume: B17 Pages: 105-114
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540191
[Journal Article] An application of Penner's coordinates of Teichmuller space of punctured surfaces2009
- Author(s)
  T. Nakanishi
- Journal Title
  
  Kokyuroku Bessatsu (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340022
[Journal Article] A trace identity for parabolic elements of SL (2,C)2007
- Author(s)
  Nakanishi, Toshihiro
- Journal Title
  
  Kodai Mathematical Journal 30
  
  Pages: 1-18
- NAID
  120005679553
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] 4つの放物元に関するトレース恒等式について(その2), 数理解析研究所講究録1571・双曲空間のトポロジー2007
- Author(s)
  中西敏浩
- Journal Title
  
  複素解析および数論
  
  Pages: 193-198
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] A trace identity for parabolic elements of SL(2, C)2007
- Author(s)
  T. Nakanishi
- Journal Title
  
  Kodai Math. J. 30
  
  Pages: 1-18
- NAID
  120005679553
- Data Source
  KAKENHI-PROJECT-17340039
[Journal Article] A trace identity for parabolic elements of SL(2, C)2007
- Author(s)
  T.Nakanishi
- Journal Title
  
  Kodai Mathematical Journal 30
  
  Pages: 1-18
- NAID
  120005679553
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] A trace identity for parabolic elements of SL (2,C)2007
- Author(s)
  中西敏浩
- Journal Title
  
  Kodai Math. J 30
  
  Pages: 1-18
- NAID
  120005679553
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340015
[Journal Article] A trace identity for parabolic elements of SL(2,C)2007
- Author(s)
  T. Nakanishi
- Journal Title
  
  Kodai Math. Journal 30
  
  Pages: 1-18
- NAID
  120005679553
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340022
[Journal Article] 4つの放物元に関するトレース恒等式について(その2)2007
- Author(s)
  中西敏浩
- Journal Title
  
  京都大学数理解析研究所講究録 1571
  
  Pages: 193-198
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] 4つの放物元に関するトレース恒等式について2006
- Author(s)
  中西敏浩
- Journal Title
  
  京都大学数理解析研究所講究録 1518
  
  Pages: 160-163
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] 4つの放物元に関するトレース恒等式について2006
- Author(s)
  中西敏浩
- Journal Title
  
  数理解析研究所講究録1518・双曲空間の複素解析と幾何学的研究
  
  Pages: 160-163
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  J. Functional Analysis 219
  
  Pages: 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Complexification of lambda length as Parameter2004
- Author(s)
  T.Nakanishi, M.Naatanen
- Journal Title
  
  J.London Math.Soc. 70
  
  Pages: 383-404
- Data Source
  KAKENHI-PROJECT-16340036
[Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004
- Author(s)
  Toshihiro Nakanishi, Marjatta Naatanen
- Journal Title
  
  J.London Math.Soc. 70
  
  Pages: 383-404
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440019
[Journal Article] Complexification of lambda length as parameter for SL(2,C) representation space of punctured surface groups2004
- Author(s)
  T.Nakanishi, M.Naatanen
- Journal Title
  
  London Math.Soc. 70
  
  Pages: 383-404
- Data Source
  KAKENHI-PROJECT-16540147
[Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004
- Author(s)
  中西敏浩, Marjatta Naatanen
- Journal Title
  
  J.London Math.Soc. 70
  
  Pages: 383-404
- Data Source
  KAKENHI-PROJECT-13440019
[Journal Article] Complexification of Lambda Length as Parameter for SL(2,C) Representation Space of Punctured Surface Groups2004
- Author(s)
  中西敏浩, M.Naatanen
- Journal Title
  
  J.London Math.Soc. 70
  
  Pages: 383-404
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440019
[Journal Article] Small global solutions and the nonrelativistic limitfor the nonlinear Dirac equation2003
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  Revista Matematica Iberoamericana 19
  
  Pages: 179-194
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation2003
- Author(s)
  S.Machihara, K.Nakanishi, T.Ozawa
- Journal Title
  
  Revista Matematica Iberoamericana 19
  
  Pages: 179-194
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340046
[Journal Article] Areas of Twodimensional Moduli Spaces2001
- Author(s)
  Toshihiro Nakanishi, Marjatta Naatanen
- Journal Title
  
  Proc.Amer.Math.Soc. 129
  
  Pages: 3241-3252
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440019
[Journal Article] Areas of two-dimensional moduli spaces2001
- Author(s)
  中西敏浩, M.Naatanen
- Journal Title
  
  Proc.Amer.Math.Soc. 129
  
  Pages: 3241-3252
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440019
[Journal Article] An application of Penner's coordinates of Teichmuller space of punctured surfaces
- Author(s)
  Toshihiro, Nakanishi
- Journal Title
  
  RIMS Kokyuroku Bessatsu (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540179
[Journal Article] A trace identity for parabolic elements of SL(2,C)
- Author(s)
  Toshihiro Nakanishi
- Journal Title
  
  Kodai Mathematical Journal (To appear)
- NAID
  120005679553
- Data Source
  KAKENHI-PROJECT-16540147
[Journal Article] A trace identity for parabolic elements of SL(2,C)
- Author(s)
  T.Nakanishi
- Journal Title
  
  Kodai Mathematical Journal (掲載決定済)
- NAID
  120005679553
- Data Source
  KAKENHI-PROJECT-17340022
[Journal Article] A trace identity for parabolic elements of SL(2, C)
- Author(s)
  Toshihiro Nakanishi
- Journal Title
  
  Kodai Mathematical Journal (To appear)
- NAID
  120005679553
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540147
[Journal Article] A trace Identity for parabolic elements of SL(2,C)
- Author(s)
  T.Nakanishi, M.Naatanen
- Journal Title
  
  to appear in Kodai Math.J.
- NAID
  120005679553
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540147
[Journal Article] An applcation of Penner's coordinates of Teichmuller space of punctured surfeces
- Author(s)
  T.Nakanishi
- Journal Title
  
  to appear in RIMS Kokyuroku Bessatsu
  
  Pages: 0-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] 種数2の閉曲面のタイヒミュラー空間の諸相2018
- Author(s)
  中西敏浩
- Organizer
  Geometry of Riemann surfaces and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-18K03331
[Presentation] Presentation of finite subgroups of mapping class group of genus 2 surfaces by Dehn twists2017
- Author(s)
  Nakamura Gou、Nakanishi Toshihiro
- Organizer
  Summer school 2017 of the IMJ-PRG, Mapping class groups and their representations, Paris, France
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400147
[Presentation] A coordinate-system for the Teichmuller space of a compact surface and a rational representation of the mapping class group2016
- Author(s)
  中西敏浩
- Organizer
  双曲空間のトポロジーと解析(Topology and Analysis on Hyperbolic Spaces)
- Place of Presentation
  京都大学数理解析研究所
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04927
[Presentation] Rational represerentation of mapping class group acting on Teichmuller space I, II2016
- Author(s)
  中西敏浩
- Organizer
  Geometry Moduli Spaces of Low Dimensional Manifolds
- Place of Presentation
  京都大学数理解析研究所
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04927
[Presentation] Action of mapping classes on Teichmuller space and their representations as rational transformations2016
- Author(s)
  中西敏浩
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Place of Presentation
  東京大学大学院数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-15K04927
[Presentation] タイヒミュラー空間のトレース関数による座標系と写像類群2015
- Author(s)
  中西敏浩、中村豪
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-14
- Data Source
  KAKENHI-PROJECT-25400147
[Presentation] タイヒミュラー空間のトレース関数による座標系と写像類群2015
- Author(s)
  中西敏浩・中村豪
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-14
- Data Source
  KAKENHI-PROJECT-15K04927
[Presentation] Parametrization of Teichmuller spaces by trace functions andits application2012
- Author(s)
  中西敏浩
- Organizer
  「リーマン面・不連続群論」研究集会
- Place of Presentation
  名古屋大学大学院多元数理科学研究科(名古屋)
- Year and Date
  2012-01-09
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization of Teichmuller space by trace functions and its applications2012
- Author(s)
  Toshihiro Nakanishi
- Organizer
  「リーマン面・不連続群論」研究集会
- Place of Presentation
  名古屋大学大学院多元数理科学研究科
- Year and Date
  2012-01-09
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization for Teichmuller spaces and its application to a representation of the mapping class groups2012
- Author(s)
  Toshihiro Nakanishi
- Organizer
  Rigidity School, Tokyo 2011/2012
- Place of Presentation
  東京大学大学院数理科学研究科(招待講演)
- Year and Date
  2012-03-18
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization of Teichmuller spaces by trace functions2012
- Author(s)
  中西敏浩
- Organizer
  Workshop on low dimensional conformalstructures and their groups
- Place of Presentation
  University of Gdansk, Poland
- Year and Date
  2012-06-28
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization for Teichmuller spaces and its application to a representation of the mapping class groups2012
- Author(s)
  中西敏浩
- Organizer
  Rigidity School, Tokyo2011/2012
- Place of Presentation
  東京大学大学院数理科学研究科(東京)
- Year and Date
  2012-03-18
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization of Teichmuller spaces by trace functions2011
- Author(s)
  中西敏浩
- Organizer
  リーマン面に関する位相幾何学
- Place of Presentation
  東京大学大学院理学研究科 (東京)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Geodesic length parameters for Teichmuller space2011
- Author(s)
  Toshihiro Nakanishi
- Organizer
  Geometric and analytic approaches to representations of a group and representation spaces
- Place of Presentation
  京都大学数学解析研究所
- Year and Date
  2011-06-23
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization of Teichmuller spaces by trace functions2011
- Author(s)
  中西敏浩
- Organizer
  群の表現及び表現空間の幾何学的・解析的研究
- Place of Presentation
  京都大学数理解析研究所(京都)
- Year and Date
  2011-06-23
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Trace parameters for Teichmuller spaces2011
- Author(s)
  中村豪,中西敏浩
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学(長野)
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrization of Teichmuller spaces by trace functions2011
- Author(s)
  中西敏浩
- Organizer
  XVIth Conference on Analytic Functions and Related Topics
- Place of Presentation
  PWSZ, Poland
- Year and Date
  2011-06-27
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Parametrizations of Teichmuller spaces by trace functions2011
- Author(s)
  Toshihiro Nakanishi
- Organizer
  リーマン面に関連する位相幾何学
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Penner's coordinate-system for a representation space on a punctured surface group and its applications2010
- Author(s)
  Toshihiro Nakanishi
- Organizer
  Topology, Geometry and Dynamics of Character Varieties
- Place of Presentation
  シンガポール国立大学
- Year and Date
  2010-06-20
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] Penner's coordinate-system for a representation space of a punctured surface group and its applications, Geometry2010
- Author(s)
  中西敏浩
- Organizer
  Topology and Dynamics of Character Varieties
- Place of Presentation
  National University of Singapore,Singapore
- Year and Date
  2010-06-20
- Data Source
  KAKENHI-PROJECT-22540191
[Presentation] 穴あき曲面群のSL(2, C)-表現空間の座標系とその応用について2008
- Author(s)
  中西敏浩
- Organizer
  第51回函数論シンポジウム
- Place of Presentation
  高知大学
- Year and Date
  2008-10-12
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] McShaneの恒等式再論2008
- Author(s)
  中西敏浩
- Organizer
  広島大学トポロジー・幾何セミナー
- Place of Presentation
  広島大学
- Year and Date
  2008-12-16
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Complexified Penner's coordinates and its applications, Topology Seminar at CTQM2008
- Author(s)
  T.Nakanishi
- Organizer
  University of Aarhus
- Place of Presentation
  デンマーク・オーフス
- Year and Date
  2008-04-30
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Complexified Penner's coordinates and its applications2008
- Author(s)
  中西敏浩
- Organizer
  Topology Seminar at CTQM
- Place of Presentation
  University of Aarhus
- Year and Date
  2008-04-30
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] McShaneの恒等式再論2008
- Author(s)
  中西敏浩
- Organizer
  広島大学トポロジー・幾何セミナー
- Place of Presentation
  広島大学
- Year and Date
  2008-12-16
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Complexified Penner's coordinates and its applications2008
- Author(s)
  Toshihiro, Nakanishi
- Organizer
  Topology Seminar at CTQM, University of Aarhus
- Place of Presentation
  デンマーク・オーフス大学
- Year and Date
  2008-04-30
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] 穴あき曲面のSL(2,C)-表現空間の座標系とその応用について2008
- Author(s)
  中西敏浩
- Organizer
  第51回函数論シンポジウム
- Place of Presentation
  高知大学
- Year and Date
  2008-10-12
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] 穴あき曲面群のSL(2, C)-表現空間の座標系とその応用について2008
- Author(s)
  中西敏浩
- Organizer
  第51回函数論シンポジウム
- Place of Presentation
  高知大学
- Year and Date
  2008-10-12
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Mapping class group acting on SL(2,C)-representation space of punctured surface groups2007
- Author(s)
  Nakanishi, Toshihiro
- Organizer
  The 8th International Conference on Several Complex Variables
- Place of Presentation
  韓国、慶州
- Year and Date
  2007-07-03
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Trace functions as coordinates for the SL(2,C)-representation spaces of a punctured surface group2007
- Author(s)
  T.Nakanishi
- Organizer
  Finland-Japan Joint Seminar on Analysis,Univeristy of Helsinki
- Place of Presentation
  フィンランド・ヘルシンキ
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Trace identities and the mapping class group actiong on SL(2,G)-representation space of a punctured surface groups2007
- Author(s)
  Nakanishi, Toshihiro
- Organizer
  Workshop on infinite dimensional Teichmuller space and moduli space
- Place of Presentation
  京都大学・数理解析研究所
- Year and Date
  2007-11-22
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Trace identities and the mapping class group acting on SL(2,C)-representation spaces of punctured surface groups2007
- Author(s)
  T.Nakanishi
- Organizer
  Workshop on Infinite Dimensional Teichmuller Space and Moduli Space
- Place of Presentation
  京都大学数学解析研究所
- Year and Date
  2007-11-22
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] Trace functions as coordinates for the SL(2,C)-representation space of a punctured surface group2007
- Author(s)
  Nakanishi, Toshihiro
- Organizer
  Finland-Japan Joint Seminar on Analysis
- Place of Presentation
  フィンランド・ヘルシンキ大学
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] A class of hyperbolic links, 双曲空間のトポロジー2006
- Author(s)
  中西敏浩
- Organizer
  複素解析および数論
- Place of Presentation
  京都大学
- Year and Date
  2006-12-08
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] A trace identity involving four parabolic elements of SL(2,C)2006
- Author(s)
  T.Nakanishi
- Organizer
  The Tenth Conference on Real and Complex Analysis
- Place of Presentation
  広島大学
- Year and Date
  2006-11-04
- Data Source
  KAKENHI-PROJECT-18540179
[Presentation] 穴あき曲面群のSL(2, C)表現とトレミー型トレース恒等式2005
- Author(s)
  中西敏浩
- Organizer
  2005年度日本数学会秋季総合分科会
- Place of Presentation
  岡山大学
- Year and Date
  2005-09-27
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Parametrization for Teichmuller spaces by trace functions
- Author(s)
  Toshihiro Nakanishi
- Organizer
  Workshop on low dimensional conformal structures and their groups, Gdansk ,Poland
- Place of Presentation
  Gdansk, Poland
- Data Source
  KAKENHI-PROJECT-22540191

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NAKANISHI Toshihiro 中西 敏浩

NAKANISHI Tomoki 中西 知樹

中西 敏浩 ナカニシ トシヒロ

Research Projects

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Co-Researchers

Research on random real and complex dynamical systems, semigroups of holomorphic maps and fractal geometryOngoing

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A study on dynamical system of the Teichmuller modular group represented by a group of rational transformationsPrincipal InvestigatorOngoing

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Study on the representation of Teichmuller modular groups as a group of rational transformationsPrincipal Investigator

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Applications of global coordinate systems for the representation spaces of punctured surface groupsPrincipal Investigator

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Study of projective structures on Riemann surfaces and its applications to hyperbolic manifolds and complex dynamical systemsPrincipal Investigator

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NAKANISHI Toshihiro 中西敏浩

NAKANISHI Tomoki 中西知樹

中西敏浩ナカニシトシヒロ