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SUNADA Toshikazu  砂田 利一

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Researcher Number 20022741
Other IDs
Affiliation (Current) 2020: 明治大学, 研究・知財戦略機構(中野), 研究推進員
Affiliation (based on the past Project Information) *help 2019: 明治大学, 研究・知財戦略機構, 研究推進員
2016 – 2018: 明治大学, 総合数理学部, 専任教授
2014 – 2015: 明治大学, 公私立大学の部局等, 教授
2013: 明治大学, 総合数理学部, 教授
2009 – 2012: Meiji University, 理工学部, 教授 … More
2003 – 2007: Meiji University, School of Science and Technology, Professor, 理工学部, 教授
2002: Tohoku University, Mathematical Institute, Prof., 大学院・理学系研究科, 教授
1995 – 2002: 東北大学, 大学院・理学研究科, 教授
2000: 東北大学, 大学院・理科学研究科, 教授
1995 – 1996: Tohoku University Graduate School of Science Professor, 大学院理学研究科, 教授
1993 – 1994: Tohoku Univ.Sci.Professor, 理学部, 教授
1993: 東北大学, 理学部(併任), 教授
1992: 東京大学, 大学院・数理科学研究科, 教授
1992: Univ.of Tokyo,Dept.of Math.Sciences, 大学院数理科学研究科, 教授
1992: University of Tokyo, Mathematical Sciences, Professor, 数理科学研究科, 教授
1991: 東京大学, 理学部, 教授
1988 – 1990: 名古屋大学, 理学部, 教授
1986: Dept. Math. Fac. Sci. Nagoya University, 理学部, 助教授
1986: 名大, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Global analysis / 代数学・幾何学 / Geometry / Global analysis / Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / 代数学・幾何学 / Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry
Keywords
Principal Investigator
結晶格子 / 離散幾何解析学 / 標準的実現 / 位相的結晶 / 準結晶 / Discrete Laplacian / スペクトル幾何学 / ラプラシアン / ユニタリ表現 / tight frame … More / 有理点 / 量子エルゴード性 / 固有値 / 格子振動 / 大偏差原理 / 離散幾何解析 / Graph / Crystal lattice / 一般化されたリーマン和 / 離散群 / 離散的代数幾何学 / アーベル・ヤコビ写像 / 位相敵結晶理論 / 離散解析幾何学 / 量子ウォーク / quasicrystal / 2次元結晶 / 結晶構造 / 複素2次曲面 / タイト・フレーム / ラズラシアンのスペクトル / 基本群 / 大域解析学 / 固有値問題 / 作用素環 / 幾何解析 / エルゴード理論 / Global Analysis / Eigonvalue Problem / Quantum Ergodiuty / Oyerator Algebras / エルゴード性 / スペクトラム / ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / 離散的ラプラシアン / 中心極限定理 / ハーパー作用素 / アルバネーゼ写像 / グラフの調和写像 / 離散幾何学 / グラフ / スペクトル幾何 / Crystal Lattice / Harper Operator / Central Limit Theorem / ランダム・ウォーク / 多面体 / 大偏差理論 / 磁場つき離散シュレディンガー作用素 / 乱歩 / エントロピー関数 / describe geometric analysis / crystal lattice / random walk / large deviation / Symmetry / Diamond Twin / Ctrystal lattice / K_4結晶 / 離散的ラブラシアン / ランダムウォーク / Diamond twin / Random walk / 算術的準結晶 / 結晶的tight frame / 算術的離散集合 / 和公式 / 結晶構造の標準的実現 / 包含排除の原理 / 原始的格子点 / 原始的ピタゴラス数 / 一様配置 / crystallography / グラスマン多様体 / ポアソンの和公式 … More
Except Principal Investigator
調和写像 / リーマン多様体 / 極小曲面 / 結晶格子 / 力学系 / 基本群 / ラプラシアン / ランダムウォーク / アインシュタイン計量 / harmonic map / crystal lattice / 大域解析学 / 共形場理論 / 代数幾何学 / モジュライ / ベクトル束 / 対称空間 / 離散群 / ゼータ関数 / モジュライ空間 / トーリック多様体 / クライン群 / 磁場付き推移作用素 / 閉測地線 / ケーラー多様体 / シンプレクティック幾何学 / 等質空間 / ラプラス作用素 / スペクトル幾何学 / 極小モデル / 特異点 / 保型形式 / K3曲面 / 葉層構造 / 代数多様体 / スペクトル理論 / シュレディンガー作用素 / 安定性 / ゲージ理論 / 微分幾何学 / 大域解析 / 複素多様体 / アインシュタイ・エルミート計量 / 推移確率 / アーベル曲面 / 平均曲率 / リ-マン多様体 / Spectrum / Einstein metric / Kaehler manifold / 数理科学 / 代数的組合せ論 / ゼ-タ関数 / number theory / 微分方程式 / 幾何学的変分問題 / 可積分系 / Global analysis / Symplectic geometry / Integrable system / 有理点 / 量子群 / スペクトル幾何 / toric variety / quantum group / 過剰決定系 / トーリック幾何 / グラフ / アーベル多様体 / スペクトル / Laplacian / シンプレクティック幾何 / 熱核 / random walk / central limit theorem / 剛性 / 共形平坦 / 指数定理 / discrete groups / rigidity / conformally flat / index theorem / 数論 / 多様体 / ホワイトノイズ / 無限次元回転群 / 超汎関数 / 確率場 / 測地線論 / アファイン・リ-環、ヴィラゾロ-リ-環 / リ-環のコホモロジ- / N=2超共形的リ-環 / 安定曲線の普遍族 / 典型モデル / 双有理写像 / 2次元場の量子論 / モジュラス空間 / リ-マン面 / ファノ多様体 / カラビ-ヤオ多様体 / 微分同相群 / 無限変換群 / 写像類群 / コホモロジー / 代数的基本群 / 流体力学的極限 / 特異摂動 / 初期層 / 分岐問題 / 多重サイン関数 / 絶対テンソル積 / 接触構造 / 位相同型群 / 特性類 / アインシュタイ・ケーラー計量 / 共形構造 / アイシュタイン・ケ-ラ計量 / トーリック・ファノ多様体 / アノソフ流 / 相関関数 / 数論幾何学 / ハイゼンベルク代数 / カラビ・ヤウ多様体 / L関数 / リッチ曲率 / 3次元代数多様体 / フリップ / 曲面の特異点 / スペクトラム / ハミルトニアン / 交叉コホモロジ- / 球面定理 / スベクトラム / ゲ-ジ理論 / 量子力学 / Riemannian manifold / Harmonic mapping / Mean curvature / Gauge theory / Hamiltonian / 無限解析学 / 量子解析学 / 情報科学 / 非線型解析 / 情報数理 / 基礎数理 / 無限次久力学系 / 非線形現象 / 散乱理論 / カオス / 無限解析 / 特殊微分方程式 / Mathematical Sciences / Infinite Analysis / Algebraic Combinatories / Quantum Analysis / Information Science / Non-linear Analysis / 整数論 / 半安定退化 / 対数構造 / ヘッケ指標 / ガロア表現 / 数論的代数幾何 / P進Hodge理論 / 岩沢理論 / 形式群 / 局所定数 / algebraic varieties / semistable reduction / minimal model / zeta function / log rithmic structure / Hecke character / Galois representation / 超局所解析 / 作用素の半群 / 第二超局所解析 / ザハロフ方程式 / 部分因子環の分類 / シュレディンガーの作用素 / 超函数 / 微函数 / 特異性の伝播 / シュレロディンガ-作用素 / Microlocal analysis / Differential equations / Semigroups of operators / Schrodinger operators / Second microlocal analysis / zakharov equations / Classification of subfactors / 多様体の幾何学 / リーマン幾何学 / 複素微分幾何学 / アレクサンドロフ空間 / 巾零幾何学 / Geometry of manifolds / Geometric variational problem / Riemannian geometry / Complex differential geometry / Dynamical system / p進解析多様体 / 同変ホロノミー系 / 電磁場 / アインシュタイン・エルミート計量 / モーデル・ヴェイユ群 / 一般ヤコビ多様体 / ヤン・バックスター方程式 / rational point / p-adic analytic space / equivariant holonomic system / electro-magnetic field / Einstein-Hermitian metric / 幾何学的変分法 / モ-ス理論 / 危点 / シンプレクティク幾何学 / 物理幾何学 / モース関数 / 量子化 / 大域変分法 / 測地線 / 偏微分方程式 / GEOMETRIC VARIATIONAL PROBLEM / DYNAMICAL SYSTEMS / MORSE THEORY / 代数的組せ論 / CR幾何 / 非線型問題 / ランダム行列 / 可換代数 / 一量子群 / 実特異点 / 可解モデル / 非線形問題 / 代数的組合論 / 複素解析 / Algebraic / CR geometry / nonlinear problems / Combinatorics random matrix / Commutative Algebra / real singularities / vector bundle / 代数幾何 / 数論的幾何 / 解析幾何 / 対数的幾何 / 格子模型 / 圏 / グラフ上の大域解析 / 対数的幾何学 / ホッジ理論 / ヘッケ環 / 特異点理論 / 結び目 / 絡み目 / algebraic geometry / arithmetic geometry / analytic geometry / toric geometry / logarithmic geometry / lattice model / category / global analysis on graphs / 交差コホモロジー / 離散スペクトル / 反応拡散方程式 / 共形平坦多様体 / 拡散反応方程式 / シュレーディンガー作用素 / ミンコフスキー和 / 複素数多様体 / 微分作用素 / 非線型微分方程式 / 反応拡散方程式系 / 非アルキメデス的多様体 / 代数的対称空間 / D加群 / テイト予想 / エルゴード性 / p進多様体 / intersection cohomology / fundamental group / discrete spectrum / reaction-diffusion equation / conformally flat manifold / フレアーホモロジー / ホモトピー代数 / ミラー対称性 / 概正則曲線 / 倉西写像 / ラグランジュ部分多様体 / 対応 / ハミルトン系 / 軌道体 / テータ関数 / 非可換トーラス / フレア-ホモロジー / 鏡映対称性 / 非可換幾何学 / A無限大カテゴリー / ヤンミルズ方程式 / テ-タ関数 / マスロフ指数 / Symplectic Geometry / Floer homology / Homotopical Algebra / moduli space / Mirror symmetry / pseudoholomorphic curve / Kuranishi map / Lagrangian submanifold / 組み合せ論 / 類体論 / 群論 / 特異点論 / リー群 / 幾何構造 / 組み合わせ論 / トポロジー / 表現論 / CR幾何学 / 幾何解析 / Mathematical science / Combinatorics / Class field theory / Group theory / Singularities / 局所中心極限定理 / アルバネーゼ写像 / 調和写線 / アルバネーゼ写線 / フロッケ理論 / アルバネゼ写像 / transition probability / Albanese map / 理想境界 / スカラー曲率 / 負曲率空間 / ideal boundary / Kleinian groups / scalar curvature / 平均曲率一定曲面 / 平均曲率ベクトル場 / 複素空間形 / 周期的回転面 / デローネー回転面 / ベジエ曲線 / 平均曲率一定 / C-多様体 / エネルギー最小写像 / 周期的平均曲率 / 周期的回転超曲面 / ウィルモア汎関数 / 多重Kaehler角度 / Poincareの公式 / 極小ラグランジアン部分多様体 / 積分幾何学 / グラスマン幾何学 / 全測地的部分多様体 / 格子モデル / minimal surface / constant mean curvature surface / mean curvature vector / complex space form / periodic surface of revolution / Delaunay surface / Bezier curve / ユニタリ表現 / Kleinian group / 二木不変量 / 複素フィンスラー多様体 / エネルギー汎関数 / 反応拡散系 / 活性因子・抑制因子型反応拡散系 / 概複素構造 / ヤン・ミルズ接続 / シンプレクティック多様体 / 解析的連接層 / 複素フィンスラー空間 / 回転面 / ヤング・ミルズ接続 / グラフ理論 / 概正則写像 / 完備双曲性 / CR多様体 / 平均曲線 / 活性因子-抑制因子型の反応拡散系 / ディリクレ境界値固有値問題 / Futaki invariant / complex Finsler manifold / harmonic maps / energy functional / mean curvature / reaction-diffusion system / heat kernel / 中心極限定理 / ハーパー作用素 / magnetic transition operators / ランダム・ウォーク / 大偏差 / グロモフ・ハウスドルフ収束 / 漸近錐 / 非可換空間 / 被覆グラフ / 大偏差原理 / 距離空間 / 磁場付きシュレジンガー作用素 / ヒルベルト バイ モジュール / large deviation / gramov-hausdorff limit / asymptotic cone / 数論的多様体 / 有理境界要素 / 放物型部分群 / アファインワイル群 / 球関数 / セルバーグ型ゼーター関数 / コンホーマル フィールド理論 / 可換環と組合せ理論 / 数論的代数幾何学 / リー群の表現の解析学への応用 / 物理数学の代数幾何的取扱い / Algebraic Geometry / Arthmetic Algebraic Geometry / Number Theory / Applications of Representation Theory / 非線形偏微分方程式 / 非可換微分幾何 / MANIFOLD / NONLINEAR PARTIAL DIFFERENTIAL EQUATION / 曲率 / ヤングミルズ接続 / リー接触構造 / リ-接触構造 / 熱方程式 / リッテ曲率 / ラプラスベルトラミ作用素 / 部分多様体 / manifold / curvature / Yang-Mills connection / homogeneous spaces / minimal surfaces / Lie contact structure / ケ-ラ-幾何 / 位相数学 / 数諭 / 散乱 / 統計力学 / 関数解析 / Manifolds / 組合せ論 / 不変式 / Zeta / 関数 / Advanced Studies in Pure Mathematics / Kahler geometry / moduli / zata function / topology / scattering / conformal field theory / statistical mechanics Less
  • Research Projects

    (50 results)
  • Research Products

    (48 results)
  • Co-Researchers

    (132 People)
  •  算術的準結晶の幾何学Principal InvestigatorOngoing

    • Principal Investigator
      砂田 利一
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Meiji University
  •  The development of discrete geometric analysisPrincipal Investigator

    • Principal Investigator
      Sunada Toshikazu
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Meiji University
  •  Development of Discrete Geometric AnalysisPrincipal Investigator

    • Principal Investigator
      Sunada Toshikazu
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
  •  Development and applications of discrete geometric analysisPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
  •  Noncomutative Discrete Geometric AnalysisPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
  •  Spectral Analysis of infinite grapgs with discrete group actions

    • Principal Investigator
      KOTANI Motoko
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Geometry of Harmonicity

    • Principal Investigator
      BANDO Shigetoshi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  The standard realization of crystal lattices and spectra of magnetic transition operators

    • Principal Investigator
      KOTANI Motoko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Commutative and Non-commutative Bloch TheoryPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
      Tohoku University
  •  Rigidity of discrete groups and index theorems

    • Principal Investigator
      IZEKI Hiroyasu
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  グラフの調和写像と離散群の表現

    • Principal Investigator
      KOTANI Motoko
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  数論的幾何学に関するドイツとの国際共同研究に関する企画調査

    • Principal Investigator
      上野 健爾
    • Project Period (FY)
      2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Research on constant mean curvature surfaces

    • Principal Investigator
      KENMOTSU Katsuei
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Discrete groups and geometry of ideal boundary

    • Principal Investigator
      IZEKI Hiroyasu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Fundamentals and Applications of Mathematics

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Fundamental Research of Discrete Geometric Analysis and Its ApplicationsPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Bubbling phenomenons of harmonic maps and their compactification

    • Principal Investigator
      KOTANI Makoto
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
      Toho University
  •  Moduli space and infinite dimensional geometry

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  共形リーマン構造の大域的研究

    • Principal Investigator
      納谷 信
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  STUDY ON QUANTUM ERGODIC THEORYPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
  •  ゲージ理論の幾何学的研究

    • Principal Investigator
      BANDO Shigetoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Mathematics on manifolds

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Mathematical problems on manifolds

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1995 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  無限群の幾何的理論の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Synthetic Study of Fundamantal Mathematics

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Study on Geometric AnalysisPrincipal Investigator

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
  •  ゼータ関数の数論幾何学的研究

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Geometry of Manifolds and Global Analysis

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Problems on varieties

    • Principal Investigator
      ODA Tadao
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  GEOMETRIC STUDY OF VARIATIONS ON INFINITE DIMENSIONAL MANIFOLDS

    • Principal Investigator
      OCHIAI Takushiro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  多様体の無限変換群の研究

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  ゼータ関数の研究

    • Principal Investigator
      KUROKAWA Nobushige
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  偏微分方程式論の幾何学及び確率論的問題への応用

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  モジュライ空間の構成とコンパクト化(多様体論への応用を目指して)

    • Principal Investigator
      向井 茂
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  GEOMETRY OF MANIFOLDS AND RELATED SUBJECTS

    • Principal Investigator
      SEKIGAWA Kouei
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      NIIGATA UNIVERSITY
  •  Research on Fundamental Mathematical Sciences

    • Principal Investigator
      AOMOTO Kazuhiko
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Number theory of algebraic varieties

    • Principal Investigator
      KAWAMATA Yujiro, 加藤 和也
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  Microlocal Analysis of Differential Equations

    • Principal Investigator
      KOMATSU Hikosaburo
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  大域解析学とスペクトル幾何学

    • Principal Investigator
      北原 晴夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  2次元共形場の理論と無限次元Lie環の表現論

    • Principal Investigator
      土屋 昭博
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  多様体上の周期的作用素のスペクトル解析Principal Investigator

    • Principal Investigator
      砂田 利一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  三次元多様体について

    • Principal Investigator
      浪川 幸彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  ホワイトノイズ解析と確率場

    • Principal Investigator
      飛田 武幸
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  曲面論と多様体論の微分幾何学的研究

    • Principal Investigator
      森本 明彦
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  三次元多様体について

    • Principal Investigator
      北岡 良之
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  可微分多様体の大域的構造について

    • Principal Investigator
      SHIOHAMA Katsuhiro
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Advanced Studies in Pure Mathematics

    • Principal Investigator
      AOMOTO Kazuhiko
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Riemann多様体のSpectrumの研究Principal Investigator

    • Principal Investigator
      砂田 利一
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  Advanced Studies in Pure Mathematics

    • Principal Investigator
      MORIKAWA Hisasi
    • Project Period (FY)
      1985 – 1987
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  Mathematical Geometry

    • Principal Investigator
      OMORI Hideki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Science University of Tokyo

All 2019 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005

All Journal Article Presentation Book

  • [Book] 現象数理学の冒険、タイル貼りのトポロジー2014

    • Author(s)
      砂田利一(共著)
    • Total Pages
      10
    • Publisher
      明治大学出版会
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Book] Topological Crystallography ---with a view towards Discrete Geometric Analysis---2012

    • Author(s)
      Toshikazu Sunada
    • Total Pages
      219
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Book] 現代幾何学への道2010

    • Author(s)
      砂田利一
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Book] 新版バナッハ・タルスキーのパラドックス2009

    • Author(s)
      砂田利一
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Book] ダイヤモンドはなぜ美しい2006

    • Author(s)
      砂田利一
    • Publisher
      シュプリンガー・フェアラーク東京(出版予定)
    • Data Source
      KAKENHI-PROJECT-14340021
  • [Book] 物の理・数の理 (全5巻)2005

    • Author(s)
      砂田利一
    • Total Pages
      600
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304012
  • [Book] 物の理・数の理(全5巻)2005

    • Author(s)
      砂田利一
    • Total Pages
      600
    • Publisher
      岩波書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304012
  • [Journal Article] From Euclid to Riemann and beyond2019

    • Author(s)
      Toshikazu Sunada
    • Journal Title

      Geometry in History (Springer)

      Volume: 1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Journal Article] Generalized Riemann Sums2017

    • Author(s)
      T. Sunada
    • Journal Title

      From Riemann to Differential Geometry and Relativity

      Volume: - Pages: 457-479

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Journal Article] Topics on mathematical crystallography2017

    • Author(s)
      T. Sunada
    • Journal Title

      Groups, Graphs and Random Walks

      Volume: - Pages: 475-519

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Journal Article] Generalized Riemann sums2017

    • Author(s)
      T. Sunada
    • Journal Title

      Springer Proceedings in Mathematics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Journal Article] Topics on mathematical crystallography2016

    • Author(s)
      T. Sunada
    • Journal Title

      Proceedings, Cambridge University Press

      Volume: ?

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Journal Article] Topics on mathematical crystallography、2016

    • Author(s)
      T. Sunada
    • Journal Title

      Proceedings, Cambridge University Press,

      Volume: ?

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Journal Article] Lecture on topological crystallography2012

    • Author(s)
      T.Sunada
    • Journal Title

      Japanese Journal of Mathematics

      Volume: 7 Pages: 1-39

    • DOI

      10.1007/s11537-012-1144-4

    • NAID

      40019247536

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340039, KAKENHI-PROJECT-24340031
  • [Journal Article] Asymptotic behavior of quantum walks on the line2012

    • Author(s)
      Toshikazu Sunada, TatsuyaTate
    • Journal Title

      Journal of Functional Analysis

      Volume: 262 Pages: 2608-2645

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Journal Article] Lecture on topological crystallo-graphy2012

    • Author(s)
      T. Sunada
    • Journal Title

      Japan. J. Math

      Volume: 7 Pages: 1-39

    • NAID

      40019247536

    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] Asymptotic behavior of quantum walks on the line2012

    • Author(s)
      T. Sunada and T. Tate
    • Journal Title

      Journal of Functional Analysis

      Volume: 262 Pages: 2608-2645

    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] New metallic carbon crystal2009

    • Author(s)
      M.Itoh, M.Kotani, H.Naito, T.Sunada, Y.Kawazoe, T.Adschiri
    • Journal Title

      Phys.Rev.Lett. 102

      Pages: 55703-55704

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] New metallic carbon crystal2009

    • Author(s)
      M. Itoh, M. Kotani, H. Naito, T. Sunada, Y. Kawazoe, and T. Adschiri
    • Journal Title

      Phys. Rev. Lett

      Volume: 102 Pages: 55703-4

    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] Ray-Singer zeta functions for compact flat manifolds2009

    • Author(s)
      T.Sunada, H.Urakawa
    • Journal Title

      Contemporary Math. 284

      Pages: 287-294

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] Ray-Singer zeta functions for compact flat manifolds2009

    • Author(s)
      T. Sunada and H. Urakawa
    • Journal Title

      Contemporary Math

      Volume: 284 Pages: 287-297

    • Data Source
      KAKENHI-PROJECT-21340039
  • [Journal Article] Crystals that nature might miss creating2008

    • Author(s)
      T. Sunada
    • Journal Title

      Notices Amer. Math. Soc. 55

      Pages: 208-215

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Discrete geometric analysis2008

    • Author(s)
      T. Sunada
    • Journal Title

      Proceedings of Symposia in Pure Mathematics 77

      Pages: 51-83

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Crystals that nature might miss creating2008

    • Author(s)
      T.Sunada
    • Journal Title

      Notices Amer.Math.Soc 55

      Pages: 208-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Discrete geometric analysis2008

    • Author(s)
      T.Sunada
    • Journal Title

      Proceedings of Symposia in Pure Mathematics 77

      Pages: 51-86

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice2006

    • Author(s)
      M.Kotani, T.Sunada
    • Journal Title

      Math.Z. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340021
  • [Journal Article] Geometric theory of lattice vibrations and specific heat.2006

    • Author(s)
      M. Shubin and T. Sunada
    • Journal Title

      Pure Appl. Math. Q. 2 no.3

      Pages: 745-777

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice2006

    • Author(s)
      M.Kotani, T.Sunada
    • Journal Title

      Mathematische Zeitschrift 254

      Pages: 837-870

    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice,2006

    • Author(s)
      M.Kotani, T.Sunada
    • Journal Title

      Mathematische Zeitschrift (to appear)

    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystallattice,2006

    • Author(s)
      M. Kotani and T. Sunada
    • Journal Title

      Mathematische Zeitschrift 254

      Pages: 837-870

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice,2006

    • Author(s)
      Motoko Kotani, Toshikazu Sunada
    • Journal Title

      Math.Z. 254

      Pages: 837-870

    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice2006

    • Author(s)
      M.Kotani, T.Sunada
    • Journal Title

      Math. Z. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340021
  • [Journal Article] Mathematical theory of lattice vibrations2006

    • Author(s)
      Shubin, T.Sunada
    • Journal Title

      Pure and Appl. Math. Quaterly 2

      Pages: 745-777

    • Data Source
      KAKENHI-PROJECT-18540221
  • [Journal Article] Large deviation and the tangent cone at infinity of a crystal lattice2006

    • Author(s)
      Kotani, Motoko; Sunada, Toshikazu
    • Journal Title

      Math. Z. 254, No. 4

      Pages: 837-870

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Presentation] Generalized Riemann sums2017

    • Author(s)
      T. Sunada
    • Organizer
      The Workshop on Discrete Analysis,, at School of Mathematical Sciences and Shanghai Center of Mathematical Sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Presentation] Crystallographic tight frames2017

    • Author(s)
      T. Sunada
    • Organizer
      The 100th Encounter between mathematicians and theoretical physicists
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Presentation] Generalized Riemann sums2016

    • Author(s)
      T. Sunada
    • Organizer
      Workshop of Discrete Analysis
    • Place of Presentation
      復旦大学
    • Year and Date
      2016-08-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Presentation] Near quasicrystals2015

    • Author(s)
      T. Sunada
    • Organizer
      Periodic and Ergodic Spectral Problem, Newton Institute
    • Place of Presentation
      Cambridge, Newton Institute
    • Year and Date
      2015-06-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Presentation] Near quasicrystals2015

    • Author(s)
      T. Sunada
    • Organizer
      Geometry in History, Strasbourg University
    • Place of Presentation
      Strasbourg University
    • Year and Date
      2015-06-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02055
  • [Presentation] Rambling talk on crystallography2013

    • Author(s)
      砂田利一
    • Organizer
      Diliman Mathematics Research Workshop
    • Place of Presentation
      University of the Philippines
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Presentation] andom walks, Diophantine problems, and rational points in complex quadrics2013

    • Author(s)
      砂田利一
    • Organizer
      Facets of Geometry
    • Place of Presentation
      Stockholm University
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Presentation] Geometry of tight frames2013

    • Author(s)
      砂田利一
    • Organizer
      the JSPS-DST Asian Academic Seminar
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Presentation] Crystal design2012

    • Author(s)
      砂田利一
    • Organizer
      International Conference on Modeling, Analysis and Simulation
    • Place of Presentation
      明治大学(招待講演)
    • Year and Date
      2012-11-06
    • Data Source
      KAKENHI-PROJECT-24340031
  • [Presentation] Topological Crystallography2011

    • Author(s)
      T.Sunada
    • Organizer
      International Conference on Mathematical Crystal lography
    • Place of Presentation
      University of the Philippines
    • Year and Date
      2011-11-02
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Presentation] Topological Crystallography2011

    • Author(s)
      T. Sunada
    • Organizer
      International Conference on Mathematical Crystallography
    • Place of Presentation
      Manila
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Presentation] Quantum Walks2010

    • Author(s)
      T. Sunada
    • Organizer
      ICMA2010
    • Year and Date
      2010-12-09
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Presentation] Quantum Walks2010

    • Author(s)
      砂田利一
    • Organizer
      ICMA2010
    • Place of Presentation
      Chulalongkorn University
    • Year and Date
      2010-12-09
    • Data Source
      KAKENHI-PROJECT-21340039
  • [Presentation] On the K_4crystal2007

    • Author(s)
      T.Sunada
    • Organizer
      London Math.Soc
    • Place of Presentation
      Cardiff University
    • Year and Date
      2007-06-03
    • Data Source
      KAKENHI-PROJECT-18540221
  • 1.  NISHIKAWA Seiki (60004488)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  KOTANI Motoko (50230024)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  AOMOTO Kazuhiko (00011495)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  ODA Tadao (60022555)
    # of Collaborated Projects: 8 results
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  • 5.  BANDO Shigetoshi (40165064)
    # of Collaborated Projects: 7 results
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  • 6.  NAYATANI Shin (70222180)
    # of Collaborated Projects: 7 results
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  • 7.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 6 results
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  • 8.  IZEKI Hiroyasu (90244409)
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  • 9.  MATSUMOTO Yukio (20011637)
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  • 10.  NAKAGAWA Yasuhiro (90250662)
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  • 11.  FUJIWARA Koji (60229078)
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  • 12.  SAITO K. (60004397)
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  • 13.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 4 results
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  • 14.  OCHIAI Takushiro (90028241)
    # of Collaborated Projects: 4 results
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  • 15.  MUKAI Shigeru (80115641)
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  • 16.  TSUBOI Takashi (40114566)
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  • 17.  KENMOTSU Katsuei (60004404)
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  • 18.  OHNITA Yoshihiro (90183764)
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  • 19.  AHARA Kazushi (80247147)
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  • 20.  IHARA Yasutaka (70011484)
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  • 21.  土屋 昭博 (90022673)
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  • 22.  SAITO Takeshi (70201506)
    # of Collaborated Projects: 3 results
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  • 23.  KAWAMATA Yujiro (90126037)
    # of Collaborated Projects: 3 results
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  • 24.  KUROKAWA Nobushige (70114866)
    # of Collaborated Projects: 3 results
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  • 25.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 3 results
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  • 26.  ISHIDA Masanori (30124548)
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  • 27.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 2 results
  • 28.  HIGUCHI Yusuke (20286842)
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