• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Watanabe Takao  渡部 隆夫

ORCIDConnect your ORCID iD *help
… Alternative Names

WATANEBE Takao  渡部 隆夫

渡辺 隆夫  ワタナベ タカオ

渡部 隆夫

Less
Researcher Number 30201198
Other IDs
External Links
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 教授
Affiliation (based on the past Project Information) *help 2016 – 2020: 大阪大学, 理学研究科, 教授
2017: 大阪大学, 大学院理学研究科, 教授
2011 – 2015: 大阪大学, 理学(系)研究科(研究院), 教授
2013: 大阪大学, 大学理学研究科, 教授
2013: 大阪大学, 理学研究科, 教授 … More
2007 – 2010: 大阪大学, 大学院・理学研究科, 教授
2004 – 2007: 大阪大学, 理学研究科, 教授
2006: 大阪大学, 大学院理学研究科, 教授
2004: 大阪大学, 大学院・理学研究科, 教授
1996 – 2003: Osaka University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
1999: 大阪大学, 理学研究科, 助教授
1995: 大阪大学, 理学部, 助教授
1993 – 1994: 東北大学, 理学部, 講師
1991 – 1992: 東北大学, 教養部, 講師
1991: 東北大学, 教養部, 助教授
1988: 東北大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra / 代数学・幾何学 / Geometry / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
簡約理論 / エルミート定数 / 代数群 / 旗多様体 / アデール幾何 / 数論的部分群 / 基本領域 / 算術的商空間 / 格子 / ボロノイ理論 … More / 保型表現 / テ-タ対応 / ホイテッカー関数 / 最短ベクトル / 線形代数群 / 連分数 / 複雑性 / マルコフスペクトラム / ラグランジュスペクトラム / 反復指数 / ディオファントス近似論 / スツルム語 / Boronoi theory / Severi-Brauer variety / Grassman variety / Hermite's constant / アデール既約 / セベリーブラウアー多様体 / セベリ-ブラウアー多様体 / グラスマン多様体 / Adels geometry / Tamagawa number / Flag variety / Reduction theory / Algebraic groud / Hermite constant / 代数多様体の有理点 / 節約理論 / 玉河数 / 旗多様性 / 対称錘 / 2次形式 / アデール / 簡約代数群 / 新谷の単数定理 / 数論的離散群 / リシュコフ多面体 / ボロノイアルゴリズム / アデール群 / 数論 / アラケロフ因子 / アラケロフ類群 / 代数体 / Berge-Martinet定数 / Hermite-Rankin定数 / Hermite定数 / 格子球充てん問題 / Hardy-Littlewood多様体 / 数の幾何 / テ-タ級数リフト / 保型L-関数 / ヴェイユ表現 / ハウ予想 / 双対簡約ペア / ベッセル-ノボドボルスキー関数 / ベッセル関数 … More
Except Principal Investigator
保型形式 / 整数論 / ジーゲル保型形式 / ゼータ関数 / ヤコービ形式 / 微分作用素 / テータ関数 / リフティング / 表現論 / 球関数 / 超特異アーベル多様体 / 跡公式 / 志村対応 / 半整数ウェイト / アイゼンシュタイン級数 / Spherical functions / Automorphic forms / modular cycle / Green currents / 対称空間 / 代数学 / 保型形式の合同 / 特殊関数論 / spherical functions / automorphic forms / modular forms / モジュライ空間 / 量子情報 / 非可換統計学 / 情報幾何学 / 特殊関数 / 次元公式 / ホロノミー系 / アーベル多様体 / コンパクト実形 / ラングランズ予想 / 格子 / ディリクレ級数 / L関数 / ユニタリ群 / 種の理論 / 特殊値 / L関数 / L 関数 / 4元数的エルミート形式 / 保型的微分作用素 / 2次形式 / 概均質ベクトル空間 / ゲーゲンバウア関数 / ヤコービ保型形式 / シンプレクティック群 / 完全行列 / ランキン定数 / シンプレクティック格子 / 球充填問題 / キス数 / 最小ベクトル / ジーゲル上半空間 / 基本領域 / エルミート定数 / asymptotics / representation theory / martingale / Cramer-Rao inequality / adaptive estimation / information geometry / complete positivity / quantum channel / 量子Fisher情報量 / Pauli通信路(パウリ通信路) / エンタングルド状態 / 量子幾何 / パラメータ推定 / 漸近論 / マーチンゲール / クラメル・ラオ不等式 / 適応的推定 / 完全正写像 / 量子通信路 / Whittaker functions / Automorhic forms / Green functions / locally symmetric spaces / modular cycles / Whittaker関数 / 3-manifold / number field / Knot / Prime / レダイ記号 / ミルナー不変量 / 絡み目群 / ガロア群 / ガロアコホモロジー / 代数群 / 3次元多様体 / 代数体 / 結び目 / 素数 / modular representation / shintani descent / Broue conjecture / perfect isometry / Dade's conjecture / フロベニウス写像 / 有限ユニタリ群 / シュバレー群 / モジュラー表現 / 新谷ディセント / ブルーエ予想 / パーフェクトアイソメトリ / デイド予想 / Number theory / Representaion theory / Vertex operator algebras / Toroidal superalgebras / Quantum groups / Superalgebras / 岩堀ヘッケ代数 / 量子包絡超代数 / 偏微分方程式 / 数理物理学 / ホップ代数 / スーパーリー代数 / 現論 / 頂点作用素代数 / トロイダル超代数 / 量子群 / 超代数 / 3-dimensional nomogeneous space / vortex filament equation / nonlinear Schro-dinger equation / ケーラー多様体 / 橋本変換 / 渦糸 / シュレディンガー方程式 / 渦糸の方程式 / 3次元等質空間 / 渦系の方程式 / 非線型シュレディンガー方程式 / D加群 / トーラス埋め込み / 代数多様体 / 保型関数 / Eisenstein級数 / 組みひも群 / ガロア・タイヒミュラー理論 / 写像類群 / デデキント和 / モノドロミー表現 / 国際研究者交流 / 遠アーベル幾何 / 基本群 / 数論幾何学 / L 関数の特殊値 / 合同 / spherical functions on Lie groups / L-functions / moduli spaces / Picardモジュラー形式 / L-関数 / ホッヂ構造 / 行列係数 / 級関数 / モジュラー形式 / discrete subgroups / modular varieties,不連続群 / Whittaker functions,モジュラー多様体 / spherical functions, Whittaker関数 / automorphic forms,球関数 / ジーゲルカスプ形式 / 保型形式のウェイト / シーゲル保型形式 / ヴェイユ表現 / 佐武コンパクト化 / ウィット作用素 / ジーゲル作用素 / 保型形式の次元公式 / 捩率 / スコア関数 / 既約表現 / 量子通信路の推定 / ファイバーバンドル / ランダム測定 / スピン緩和時間 / 凸計画問題 / 情報幾何 / 量子推定 / 自由エネルギー / 有効ハミルトニアン / スピン / 平均場近似 / 統計力学 / 仮説検定 / ベクトル値保型形式 / Langlands予想 / Harder予想 / モジュライ / 超特異 / セルバーグ跡公式 / 2次形式 / 岩堀部分群 / ゼータ函数 / ボーチャーズ積 / 保型形式環 / テンソル環 / ベクトル値 / 逆定理 / Koecher-Maass級数 / ジーゲル公式 / ディソクレ級数 / 結び目解消操作 / ザイフェルト曲面 / 解消トンネル / 最短垂直測地線 / 双曲的デーン手術 / convolution product / ヴァンヴレェック-パウリの公式 / ウィーナー空間における停留位相の方法 / 確率振動積分 / 主束 / 等長変換群 / リーマン幾何 / 本質的スペクトル / ヘリコイド / カテノイド / 調和写像 / モース指標 / 極小超曲面 / スペクトル / シュレーディンガー作用素 / 平均曲率一定超曲面 / シュレ-ディンガ-作用素 / プラス作用素 / 余次元1葉層構造 / 平均曲率 / Hー変形可能曲面 / 虚数乗法 / Pーdivisible群 / 分類問題 / 形式群 Less
  • Research Projects

    (36 results)
  • Research Products

    (56 results)
  • Co-Researchers

    (92 People)
  •  A study of an algorithm to calculate lattice invariants by new reduction theoryPrincipal Investigator

    • Principal Investigator
      WATANABE TAKAO
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Explicit reduction theory of algebraic groupsPrincipal Investigator

    • Principal Investigator
      Watanabe Takao
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Computation of boundary components of fundamental domains of symmetric cones and its application

    • Principal Investigator
      Hayata Takahiro
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  Explicit study of number theory of automorphic forms of several variables related to trace formulas.

    • Principal Investigator
      Ibukiyama Tomoyoshi
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Construction of Voronoi theory over adele groupsPrincipal Investigator

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Explicit study of arithmetic structures of automorphic forms of several variables and trace formulas

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Arithmetic and Moduli Spaces around Galois-Teichmueller tower

    • Principal Investigator
      NAKAMURA Hiroaki
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Okayama University
  •  Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Hermite constants of algebraic groups and their applicationsPrincipal Investigator

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Quantum information geometrical methods in noncommutative statistics

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  中間ウェイトのジーゲル保型形式の研究

    • Principal Investigator
      伊吹山 知義
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Statistical Estimation Theory for Quantum Channels

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Voronoi Theory on Flag VarietiesPrincipal Investigator

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ベクトル値ジーゲル保型形式のなすテンソル環の研究

    • Principal Investigator
      伊吹山 知義
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Constructive geometry of arithmetic quotients of symmetric spaces

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Geometry of Numbers on Homogeneous Spaces and Generalized Hermite ConstantsPrincipal Investigator

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Koecher Maass級数と保型形式のリフティング

    • Principal Investigator
      伊吹山 知義 (伊沢山 知義)
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Application of Shintani descent to the perfect isometry problem and Dade's conjecture

    • Principal Investigator
      UNO Katsuhiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Arithmetic of algebraic groups and their homogeneous spaces

    • Principal Investigator
      MORISHITA Masanon
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      kanazawa University
  •  Representation theory of the quantized enveloping algebras and the quantized enveloping superalgebras

    • Principal Investigator
      YAMANE Hiroyuki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  等質空間における数の幾何Principal Investigator

    • Principal Investigator
      渡部 隆夫
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  一般ジーゲル公式とゼータ関数

    • Principal Investigator
      伊吹山 知義
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  階数2の不連続群と3次元多様体

    • Principal Investigator
      作間 誠
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  ユニタリ群の新谷関数Principal Investigator

    • Principal Investigator
      渡部 隆夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ウィーナー空間上の確率解析

    • Principal Investigator
      真鍋 昭次郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  タイプ2の双対簡約ペアのハウ予想Principal Investigator

    • Principal Investigator
      渡部 隆夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  保型形式とオイラー積の和としてのゼータ関数

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Nonlinear Schrodinger eqnations on riemannian manitolds

    • Principal Investigator
      KOISO Norihito
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  直交群の保型表現の新しいモデルを用いたL-関数の積分表示Principal Investigator

    • Principal Investigator
      渡部 隆夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  自然な計量をもった主束の等長変換群

    • Principal Investigator
      高木 斉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  ユニタリ郡上の保型L-関数に対するランキン・セルバーグ論法Principal Investigator

    • Principal Investigator
      渡部 隆夫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  幾何学的変分法と大域解析

    • Principal Investigator
      浦川 肇
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  絶対ガロア群の構造

    • Principal Investigator
      内田 興二
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  Hー変形可能曲面に関する剛性の研究

    • Principal Investigator
      剱持 勝衛
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  保型関数論の代数学への応用

    • Principal Investigator
      森田 康夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University

All 2020 2017 2016 2014 2013 2012 2011 2009 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Appendix of "Fundamental domains of arithmetic quotients of reductive groups over number fields" by Lee Tim Weng2017

    • Author(s)
      Takao Watanabe
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 290 Issue: 1 Pages: 164-167

    • DOI

      10.2140/pjm.2017.290.139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05170
  • [Journal Article] Ryshkov domains of reductive algebraic groups2014

    • Author(s)
      Takao Watanabe
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 270 Issue: 1 Pages: 237-255

    • DOI

      10.2140/pjm.2014.270.237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400012
  • [Journal Article] Ryshkov domains of reductive algebraic groups2014

    • Author(s)
      Takao Watanabe
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] Voronoi’s reduction theory of GL_n over a totally real number field2013

    • Author(s)
      T. Watanabe, S. Yano and T. Hayashi
    • Journal Title

      Contemporary Mathematics

      Volume: 587 Pages: 213-232

    • DOI

      10.1090/conm/587/11680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] A survey on Voronoi's theorem, In "Geometry and analysis of automorphic forms of several Varaibles", ed. by Y. Hamahata, T. Ichikawa, A. Murase and T. Sugano, Number Theory and Its Applications2012

    • Author(s)
      T. Watanabe
    • Journal Title

      World Scientific

      Volume: 7巻 Pages: 334-377

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] Type one functions and Voronoi's theorem2011

    • Author(s)
      K. Sawatani and T. Watanabe
    • Journal Title

      Journal of Convex Analysis

      Volume: 18巻 Pages: 341-351

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] Type one functions and Voronoï's theorem2011

    • Author(s)
      Sawatani Kazuomi and Takao Watanabe
    • Journal Title

      Journal of Convex Analysis

      Volume: 18 Pages: 341-351

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] A survey on Voronoi's theorem2011

    • Author(s)
      Takao Watanabe
    • Journal Title

      Number Th. and Its App.

      Volume: 7 Pages: 334-377

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Journal Article] A bound of the number of reduce Arakelov divisors of a number field2009

    • Author(s)
      渡部隆夫, 吉満隆亮
    • Journal Title

      Contemporary Mathematics 493

      Pages: 399-408

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Journal Article] A bound of the number of reduce Arakelov divisors of a number field2009

    • Author(s)
      渡部隆夫, 吉満隆亮
    • Journal Title

      Contemporary Mathematics, American Mathematical Society 493

      Pages: 399-408

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Journal Article] Hermite constant and Voronoi theory over a quaternion skew field2006

    • Author(s)
      R.Coulangeon, T.Watanabe
    • Journal Title

      Osaka Journal of Mathematics 43 (2006) 517-55 43

      Pages: 517-556

    • NAID

      120004838054

    • Data Source
      KAKENHI-PROJECT-18654003
  • [Journal Article] Minkowski's second theorem over a simple algebra2006

    • Author(s)
      Takao Watanabe
    • Journal Title

      Monatshefte fuer Mathematik 149

      Pages: 155-172

    • Data Source
      KAKENHI-PROJECT-18654003
  • [Journal Article] Minkowski's second theorem over a simple algebra2006

    • Author(s)
      Takao Watanabe
    • Journal Title

      Monatshefte fuer Mathematik 149

      Pages: 155-172

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Hermite constant and Voronoi theory over a quaternion skew field2006

    • Author(s)
      R.Coulangeon, T.Watanabe
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 517-556

    • NAID

      120004838054

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces2006

    • Author(s)
      Takao Watanabe
    • Journal Title

      Archiv der Mathematik 87

      Pages: 320-329

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces2006

    • Author(s)
      T. Watanabe
    • Journal Title

      Archiv der Mathematik 87No.4

      Pages: 320-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces2006

    • Author(s)
      Takao Watanabe
    • Journal Title

      Archiv der Mathematik 87 (2006) 320-329 87

      Pages: 320-329

    • Data Source
      KAKENHI-PROJECT-18654003
  • [Journal Article] Hermite constant and Voronoi theory over a quaternion skew field2006

    • Author(s)
      R. Coulangeon and T. Watanabe
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 517-556

    • NAID

      120004838054

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Minkowski's second theorem over a simple algebra2006

    • Author(s)
      T. Watanabe
    • Journal Title

      Monatshefte fur Mathematik 149No.2

      Pages: 155-172

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces,2005

    • Author(s)
      T.Watanabe
    • Journal Title

      The Proceedings of Second COE Workshops on Sphere Packings

      Pages: 248-255

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Minkowski's second theorem over a simple algebra2005

    • Author(s)
      T.Watanabe
    • Journal Title

      Oberwolfach Reports 2巻1号

      Pages: 59-60

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Certain inequalities satisfied by the Hermite constants of a global field2004

    • Author(s)
      T.Watanabe
    • Journal Title

      Commentarii mathematici Univ.Sancti Pauli 53・1

      Pages: 77-83

    • NAID

      110007689260

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] A survey and a complement of fundamental Hermite constants2004

    • Author(s)
      T.Watanabe
    • Journal Title

      Contemporary Math.Amer.Math.Soc. 344

      Pages: 339-350

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] Certain inequalities satisfied by the Hermite constants of a global field2004

    • Author(s)
      T.Watanabe
    • Journal Title

      Commentarii mathematici Univ. Sancti Pauli 53(1)

      Pages: 77-83

    • NAID

      110007689260

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] The normalization constant of a certain invariant measure on Gl_n (D_A)2004

    • Author(s)
      Yoshihide Nakamura, Takao Watanabe
    • Journal Title

      Manuscripta Math. 115

      Pages: 259-280

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] A survey and a complement of fundamental Hermite constants2004

    • Author(s)
      Takao Watanabe
    • Journal Title

      Contemporary Math.Amer.Math.Soc. 344

      Pages: 339-350

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] The normalization constant of a certain invariant measure on GLn(DA)2004

    • Author(s)
      Y.Nakamura, T.Watanabe
    • Journal Title

      Manuscripta Math. 115

      Pages: 259-280

    • Data Source
      KAKENHI-PROJECT-14654007
  • [Journal Article] A survey and a complement of fundamental Hermite constants2004

    • Author(s)
      T.Watanabe
    • Journal Title

      Contemporary Math. 344

      Pages: 339-350

    • Data Source
      KAKENHI-PROJECT-14654007
  • [Journal Article] Certain inequalities satisfied by the Hermite constants of global fields2004

    • Author(s)
      T.Watanabe
    • Journal Title

      Comm.Math.Univ.St.Pauli 53

      Pages: 77-83

    • NAID

      110007689260

    • Data Source
      KAKENHI-PROJECT-14654007
  • [Journal Article] Certain inequalities satisfies by the Hermite constants of a global field2004

    • Author(s)
      Takao Watanabe
    • Journal Title

      Commentarii Mathematici Univ.Sancti Pauli 53・1

      Pages: 77-83

    • NAID

      110007689260

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] Minkowski's second theorem over a simple algebra

    • Author(s)
      T.Watanabe
    • Journal Title

      Monatshefte fur Mathematik (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces

    • Author(s)
      T.Watanabe
    • Journal Title

      Archiv der Mathematik (in press)

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] Hermite constant and Voronoi theory over a quaternion skew field

    • Author(s)
      R.Coulangeon, T.Watanabe
    • Journal Title

      Osaka Journal of Mathematics (in press)

    • NAID

      120004838054

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] Minkowski's second theorem over a simple algebra

    • Author(s)
      T.Watanabe
    • Journal Title

      Monatshefte fur Mathematik (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] A note on the Hermite-Rankin constant

    • Author(s)
      沢谷一臣, 渡部隆夫, 奥田健二
    • Journal Title

      J. Th. Nombres Bordeaux (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Journal Article] Minkowski's second theorem over a simple algebra

    • Author(s)
      T.Watanabe
    • Journal Title

      Monatshefte fur Mathematik (in press)

    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces

    • Author(s)
      T.Watanabe
    • Journal Title

      Archiv der Mathematik (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Journal Article] On the best bound of the minimal twisted height of linear subspaces

    • Author(s)
      T.Watanabe
    • Journal Title

      Archiv der Mathematik (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540026
  • [Presentation] Sturm語の反復指数の空隙2020

    • Author(s)
      渡部隆夫
    • Organizer
      日本数学会2020年秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05170
  • [Presentation] Fundamental domains of arithmetic quotiens of reductive groups2016

    • Author(s)
      渡部隆夫
    • Organizer
      Lattices and Applications in Number Theory
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Year and Date
      2016-01-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400012
  • [Presentation] Fundamental domains of arithmetic quotients of reductive groups2014

    • Author(s)
      Takao Watanabe
    • Organizer
      Integral Quadratic Forms and Related Topics
    • Place of Presentation
      Hyundai Hotel, Gyeongju, Korea
    • Year and Date
      2014-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400012
  • [Presentation] 簡約可能代数群の算術商の基本領域の構成2013

    • Author(s)
      渡部隆夫
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Year and Date
      2013-09-24
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] Polyhedral reduction of GL(n) over a totally real number field2011

    • Author(s)
      渡部隆夫
    • Organizer
      Reduction Theory and Applications to Automorphic Forms
    • Place of Presentation
      白馬ハイマウントホテル
    • Year and Date
      2011-11-02
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] Polyhedral reduction of Humbert forms2011

    • Author(s)
      渡部隆夫
    • Organizer
      Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms
    • Place of Presentation
      Banff International Research Station, Canada
    • Year and Date
      2011-11-15
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] A simple generalization of Voronoi's theorem2009

    • Author(s)
      渡部隆夫
    • Organizer
      Korean Mathematical Society and American Mathematical Society Joint Meeting
    • Place of Presentation
      ソウル 李花女子大学, 韓国
    • Year and Date
      2009-12-17
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Presentation] A simple generalization of Voronoi's theorem2009

    • Author(s)
      渡部隆夫
    • Organizer
      Korean Mathematical Society and American Mathematical Society Joint Meeting
    • Place of Presentation
      李花女子大学, 韓国
    • Year and Date
      2009-12-17
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Presentation] 8次元Hermite-Rankin定数の値2009

    • Author(s)
      渡部隆夫
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-27
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Presentation] On Voronoi's theorem and related problems2009

    • Author(s)
      渡部隆夫
    • Organizer
      Geometry and Analysis on Automorphic Forms of Several Variables
    • Place of Presentation
      東京大学
    • Year and Date
      2009-09-14
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Presentation] 8次元Hermite-Rankin定数の値2009

    • Author(s)
      T. Watanabe
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-27
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] A bound of the number of reduced Arakelov divisors of a number field,2007

    • Author(s)
      T. Watanabe
    • Organizer
      International Conference on The Algebraic and Arithmetic Theory of Quadratic Forms 2007
    • Place of Presentation
      Puerto Montt, Chile
    • Year and Date
      2007-12-18
    • Data Source
      KAKENHI-PROJECT-18654003
  • [Presentation] A bound of the number of reduced Arakelov divisors of a number field,2007

    • Author(s)
      T. Watanabe
    • Organizer
      International Conference on The Algebraic and Arithmetic Theory of Quadratic Forms 2007
    • Place of Presentation
      Puerto Montt, Chile
    • Year and Date
      2007-12-18
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] A bound of the number of reduced ideals of a number field2007

    • Author(s)
      渡部隆夫
    • Organizer
      International Conference on The Algebraic and Arithmetic Theory of Quadratic Forms 2007
    • Place of Presentation
      チリ
    • Year and Date
      2007-12-18
    • Data Source
      KAKENHI-PROJECT-19540026
  • [Presentation] A bound of the number of reduced Arakelov divisors of an algebraic number field, International Conference on2007

    • Author(s)
      T. Watanabe
    • Organizer
      The Algebraic and Arithmetic Theory of Quadratic Forms 2007 Lake Llanquihue
    • Place of Presentation
      Chile
    • Year and Date
      2007-12-19
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Polyhedral reduction of GL(n)

    • Author(s)
      渡部隆夫
    • Organizer
      14th Hakuba Autumn Workshop(招待講演)
    • Place of Presentation
      白馬ハイマウントホテル
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] Polyhedral reduction of Humbert forms

    • Author(s)
      渡部隆夫
    • Organizer
      Banff Workshop(招待講演)
    • Place of Presentation
      Banff Center
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] 簡約可能代数群の算術商の基本領域の構成

    • Author(s)
      渡部隆夫
    • Organizer
      日本数学会秋季総合分科会代数学分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Data Source
      KAKENHI-PROJECT-23540016
  • 1.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 2.  ODA Takayuki (10109415)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  YAMAZAKI Youhei (00093477)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  KONNNO Kazuhiro (10186869)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  MABUCHI Toshiki (80116102)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  FUJIWARA Akio (30251359)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  SATO Fumihiro (20120884)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  HAYATA Takahiro (50312757)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  SUGIMITO Mitsuru (60196756)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  IKEDA Tamotsu (20211716)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  KATSURADA Hidenori (80133792)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  TSUZUKI Masao (80296946)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  HIRONAKA Yumiko (10153652)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  剱持 勝衛 (60004404)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  高木 斉 (90018581)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  ARIYAMA Kazutoshi (20123713)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  SAITO Kyoji (20012445)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  真鍋 昭次郎 (20028260)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  KOISO Norihito (70116028)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  NAGAOKA Shoyu (20164402)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  HAMAHATA Yoshinori (90260645)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  WAKATSUKI Satoshi (10432121)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  OCHIAI Tadashi (90372606)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  MORIYAMA Tomonori (80384171)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  TSUNOGAI Hiroshi (20267412)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  ISHIKAWA Yoshihiro (50294400)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  TAMAGAWA Akio (00243105)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 34.  麻生 透 (00111352)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 35.  浦川 肇 (50022679)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 36.  尾形 庄悦 (90177113)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 37.  作間 誠 (30178602)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 38.  KOMATSU Keiichi (80092550)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  FURUSAWA Masaaki (50294525)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  UMEGAKI Atsuki (60329109)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  NAGAOKA Hiroshi (80192235)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  SUGITA Hiroshi (50192125)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  ISHII Taku (60406650)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  ICHIKAWA Takashi (20201923)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  KOSEKI Harutaka (60234770)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  HIRANO Miki (80314946)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  MOCHIZUKI Shinichi (10243106)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  MATSUMOTO Makoto (70231602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  FURUSHO Hidekazu (60377976)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  HOSHI Yuichiro (50456761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  YAMANE Hiroyuki (10230517)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  MURAKAMI Jun (90157751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  DATE Etsuro (00107062)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  WATANABE Atumi (90040120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  OKUYAMA Tetsuro (60128733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  KOSHITANI Shigeo (30125926)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  MORISHITA Masanon (40242515)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  TOMARI Masataka (60183878)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  HAYAICAWA Takayuki (20198823)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 62.  NAMBA Makoto (60004462)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 63.  YAMAMOTO Yoshihiko (90028184)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 64.  OGAWA Hiroyuki (70243160)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 65.  SUZUKU Joe (50216397)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 66.  Hayashida Shuichi (80597766)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 67.  内田 興二 (20004294)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 68.  今井 秀雄 (10093668)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 69.  中村 哲男 (90016147)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 70.  高橋 豊文 (20004400)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 71.  押切 源一 (70133931)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 72.  長澤 壮之 (70202223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 73.  内田 素夫 (10221805)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 74.  西谷 達雄 (80127117)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 75.  長瀬 道弘 (70034733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 76.  高橋 智 (70226835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 77.  臼井 三平 (90117002)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 78.  金子 昌信 (70202017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 79.  森田 康夫 (20011653)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 80.  石田 正典 (30124548)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 81.  堀田 良之 (70028190)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 82.  小田 忠雄 (60022555)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 83.  佐武 一郎 (00133934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 84.  梅原 雅顕 (90193945)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 85.  原 靖浩 (10294141)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 86.  和田 健志 (70294139)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 87.  脇 克志 (30250591)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 88.  伊藤 達郎 (90015909)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 89.  小林 俊行 (80201490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 90.  吉川 謙一 (20242810)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 91.  北山 秀隆 (20622567)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 92.  Lee Tim Weng
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi