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nagatomo kiyokazu  永友 清和

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NAGATOMO Kiyokazu  永友 清和

永友 清和

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Researcher Number 90172543
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院情報科学研究科, 招へい准教授
Affiliation (based on the past Project Information) *help 2018 – 2019: 大阪大学, 情報科学研究科, 招へい准教授
2014 – 2017: 大阪大学, 情報科学研究科, 准教授
2007 – 2009: Osaka University, Graduate School of Information Science and Technology, Associate Professor
2006: Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授
2005: 大阪大学, 情報科学研究科, 助教授 … More
2002 – 2005: 大阪大学, 大学院・情報科学研究科, 助教授
1996 – 2001: 大阪大学, 大学院・理学研究科, 助教授
1993 – 1995: OSAKA UNIV., DEPT.MATHEMATICS ASSOCIATE PROFESSOR, 理学部, 助教授
1990 – 1992: 大阪大学, 理学部, 講師
1987 – 1988: 大阪大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Global analysis
Except Principal Investigator
Algebra / Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Geometry / Intelligent informatics / 代数学・幾何学
Keywords
Principal Investigator
頂点作用素代数 / 共形場理論 / テンソル圏 / リーマン面 / 表現論 / 頂点代数 / 保型形式 / 頂点作要素代数 / 無限次元代数 / Verlinde公式 … More / モジュライ空間 / 代数幾何 / 共形ベクトル / ボゾン / 一点関数 / 頂点作用素代数の指標 / モジュラー形式 / ベクトル値モジュラー形式 / 保型微分方程式 / モジュラー線型微分方程式 / 分類理論 / 指標 / モジュラー微分方程式 / Modular tensor category / Moduli space / Pointed Riemann surface / Conformal field Theory / カイラル代数 / D-加群 / 位相不変量 / 点付きリーマン面 / モジュラーなテンソル圏 / 点つきリーマン面 / mathematical physics / vertex algebra / vertex operator / representation theory / algebraic geometry / conformal field theory / モジュラー変換 / 共形ブロック / 数理物理 / 数理物理学 / 頂点作用素 / 微分 / リー環 / conformal代数 / Lie代数 / 圏同値 / リー代数 / 共形代数 / モジュラー / 作用素環論 / 量子化 / 戸田方程式 / 完全積分可能系 … More
Except Principal Investigator
頂点作用素代数 / 共形場理論 / 量子群 / ホップ代数 / 表現論 / 超幾何微分方程式 / 準モジュラー形式 / モジュラー形式 / 波動方程式 / Z / Riemann surface / vertex operator algebra / 楕円曲線 / 結び目 / エルンスト方程式 / 散乱理論 / パンルヴェ方程式 / 位相不変量 / アーベル多様体 / 整数論 / ソリトン / スペクトル / 特異点 / 漸近展開 / 擬テータ関数 / 2重アイゼンシュタイン級数 / 2重ゼータ値 / 有限多重ゼータ値 / 多重ベルヌーイ数 / 共系場理論 / 多重ゼータ値 / Lie algebra / Morita equivalence / finite-dimensional algebra / conformal field theory / universal enveloping algebra / トリプレット代数 / ポアソン代数 / Riemann面 / Lie代数 / 森田同値 / 有限次元代数 / 普遍展開環 / Hypergeometric equations / Monodromy / The Painleve equations / 超幾何函数 / 超幾何方程式 / モノドロミ / Word problem of semigroups / Coxeter groupoids / Coxeter groups / 3Z quantum groups / Super quantum groups / Elliptic quantum groups / Elliptic Lie superalgebras / Elliptic Lie algebras / 楕円ルート系 / 楕円リー起代数 / 楕円リー超代数 / 半群の語問題 / コクセター群半群 / コクセター群 / 3Z量子群 / スーパー量子群 / 楕円量子群 / 楕円超リー代数 / 楕円リー代数 / Fourier coefficients / period polynomials / quasimodular forms / modular forms / 超特異楕円曲線 / アフィンスーパー代数 / extremal形式 / フーリエ係数 / 周期多項式 / Spin(7) manifolds / G_2 manifolds / Calabi-Yau manifolds / Hyper Kahler manifolds / ミラー対称性 / G2多様体 / モノポール / Spin(7)-多様体 / G_2-多様体 / Calabi-Yau多様体 / Spin(7)多様体 / G_2多様体 / カラビ・ヤオ多様体 / 超ケーラー多様体 / 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 / スーパーリー代数 / 現論 / トロイダル超代数 / 超代数 / finite type invariant / quantum invariant / vertey operator algebra / representation theory / 3-dimensional manifold / Knot theory / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 双曲幾何 / 双曲構造 / 3次元多様体 / 低次元位相幾何 / 有限型不変量 / 量子不変量 / 3次元多様体論 / 結び目理論 / リーマン面 / lranch and bound lechuzue / a prior knowledge / machine learning / Baysian Networks / MDL principle / ネットワーク構造 / 帰納推論 / 分岐限定法 / 事前知識 / 機械学習 / Bayesian Network / MDL原理 / L operators / semilinear elliptic equation / Schrodinger operator / Schur function / nilpotent Lie algebras / Onsager algebra / 巾零リー環 / 可解リー環 / 完全積分可能系 / principal realization / A^<(1)>_1 / L作用素 / 準線型楕円型方程式 / ミュレディンガー作用素 / Schur関数 / 冪零リー環 / オンサーガー代数 / Galois group / Division points / Elliptic curve / Abelian variety / Jacobian variety / Algebraic curve / ガロワ拡大 / 有理点群 / 等分方程式 / 超楕円曲線 / ガロワ群 / 等分点 / ヤコビ多様体 / 代数曲線 / Super Lie algebra / Singularity / Quantum group / Hecke algebra / Knot invariant / Ernst equation / テンパリー・リーブ代数 / ベルグマン核 / オービホールド / ヘーガード分解 / 基本群 / デル・ペッツオ曲面 / 局所ワイル群 / 超リー代数 / ルート系 / グラフ / ヘッケ環 / 重力場 / Manifold / Spectrum / Laplacian / Zeta Function / Quantum Mechanics / Scattering Theory / Wave Equation / Hyperbolic Equation / 幾何光学 / エルゴ-ド性 / ゼ-タ関数 / 特異性の伝播 / 多様体 / ラプラシアン / ゼ-タ-関数 / 量子力学 / 双曲型方程式 / ラソーターヨーク変換 / 遅れを持った偏微分方程式 / ずれの変換 / 時間変更 / 確率解析 / マルコフ過程 / ディリクレ空間 / ソリトン方程式 / Schrodinger方程式 / Woener汎関数の漸近展開 / 対称拡散過程 / 極限定理 / マルチンゲール理論 / Malliauin / Nichols代数 / スーパーLie代数 / 無限次元Lie代数 / スーパー代数 / ニコルス代数 / ワイル亜群 / デザイン / 数理物理 / 代数学 / 代数一般 / エクストリーマルモジュラー形式 / 多重アイゼンシュタイン級数 / 結び目不変量 / モジュライ空間 / 擬モジュラー形式 / 楕円モジュラー関数 / ベクトル値保型形式 / 球関数 / Langlands予想 / 志村対応 / Harder予想 / モジュライ / 超特異 / 特殊関数 / 微分作用素 / 次元公式 / L関数 / ヤコービ形式 / 半整数ウェイト / ラングランズ予想 / テータ関数 / 超特異アーベル多様体 / ホロノミー系 / ジーゲル保型形式 / セルバーグ跡公式 / 2次形式 / 跡公式 / ゼータ関数 / 保型形式 / 安定性 / 非線型発展方程式 / 定スカラー曲率 / ケーラー多様体 / 時間周期解 / 漸近安定性 / 希薄波解 / 進行波解 / 粘弾性体の方程式系 / 粘性的一次元保存則 / 非線型偏微分方程式 / 情報空間 / タウ関数 / 有理関数 / 戸田方程式 / ロトカ・ボルテラ方程式 / 差分スキーム / 非線形可積分系 / ゼーター関数 / 散乱論 / エルゴード性 / 特異性 / S行列 / シコレ-ヂィンガ-作用素 / 多体問題 / 強擬凸領域 / 境界挙動 / 再生核 / ゼゲ-核函数 / ベルグマン核函数 Less
  • Research Projects

    (36 results)
  • Research Products

    (50 results)
  • Co-Researchers

    (94 People)
  •  Vertex operator algebras and modular differential equationsPrincipal Investigator

    • Principal Investigator
      Nagatomo Kiyokazu
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Studies on conformal algebras and Lie algebrasPrincipal Investigator

    • Principal Investigator
      NAGATOMO Kiyokazu
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study of modular/quasimodular forms and multiple zeta values appearing in various aspects of mathematics and physics

    • Principal Investigator
      Kaneko Masanobu
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Studies on modular and quasimodular forms arising in various contexts in mathematics and physics

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  New developments in representation theories of vertex operator algebras and their applications

    • Principal Investigator
      MATSUO Atsushi
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Generalized quantum groups, including super and elliptic ones, and Weyl groupoids

    • Principal Investigator
      YAMANE Hiroyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • 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
  •  共形場理論,作用素環論とモジュラーなテンソル圏Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.

    • Principal Investigator
      MATSUO Atsushi
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  共形場理論の方法によるモジュライ空間上の連接層の構成Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Moduli space of pointecl autrves and conismal field theoryPrincipal Investigator

    • Principal Investigator
      NAGATOMO Kiyokazu
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theories

    • Principal Investigator
      YAMANE Hiroyuki
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  The Painleve functions with solvable monodromy

    • Principal Investigator
      OHYAMA Yosuke
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  共形場理論に関わる代数幾何と表現論Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Research of modular and quasimodular forms arising in various areas of mathematics and their application

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  Representation theory of vertex operator algobras and contormal tield theoryPrincipal Investigator

    • Principal Investigator
      NAGATOMO Kiyokazu
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • 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
  •  Hyper Kahler manifolds

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Quantum structure of Riemann surfaces and its application to low-climensional topology

    • Principal Investigator
      MURUKAMI Jun
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Osaka 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
  •  Completely integrable systema and representation theory of infinite dimen-sional algebras

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Learning Baysian Networks based on the MDL principle

    • Principal Investigator
      SUZUKI Joe
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Intelligent informatics
    • Research Institution
      Osaka University
  •  頂点作用素代数の数理物理学への応用Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  頂点作用素代数の数理物理学への応用Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ケーラー多様体上のソリトン

    • Principal Investigator
      榎 一郎
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  Arithmetics on Jacobian Varieties

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  非線形可積分系の数理

    • Principal Investigator
      中村 佳正
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Doshisha University
  •  積分可能系の量子化Principal Investigator

    • Principal Investigator
      永友 清和
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  非線型偏微分方程式系の時間大域解の構造

    • Principal Investigator
      MATSUMURA Akitaka
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  双曲型偏微分方程式の解の構造の研究

    • Principal Investigator
      井川 満
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Representations of Groups, Lie Algebras, and Algebras

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  多体シュレ-ヂィンガ-作用素の研究

    • Principal Investigator
      磯崎 洋
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  多変数函数論に現れる再生核の不変式論

    • Principal Investigator
      KOMATSU Gen
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Hyperbolic equations and its applications

    • Principal Investigator
      IKAWA Mitsuru
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  ディリクレ空間とマルコフ過程

    • Principal Investigator
      中尾 愼太郎
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  確率過程および関連する解析学の研究

    • Principal Investigator
      渡辺 毅
    • 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
      Osaka University

All 2020 2019 2018 2017 2016 2015 2013 2012 2011 2010 2008 2005 Other

All Journal Article Presentation Book

  • [Book] 線形代数とMathematica2012

    • Author(s)
      谷口 義治,永友 清和
    • Total Pages
      286
    • Publisher
      牧野書店
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Vertex operator algebras with central charge 8 and 162020

    • Author(s)
      G. Mason, K. Nagatomo, Y. Sakai
    • Journal Title

      Contemporary mathematics (accepted for publication)

      Volume: 14

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] Pseudo-characters of the symplectic fermions and modular linear differential equations2020

    • Author(s)
      Y. Kurokawa, K. Nagatomo, Y. Sakai
    • Journal Title

      Contemporary mathematics (accepted for publication)

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] Vertex operator algebras with central charges 164/5 and 236/72020

    • Author(s)
      Y. Arike, K. Nagatomo,
    • Journal Title

      Communications in Number Theory and Physics (accepted for publication)

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] Vertex operator algebras, minimal models, and modular linear differential equations of order 42018

    • Author(s)
      Y. Arike, K. Nagatomo, Y. Sakai
    • Journal Title

      J. Math. Soc. Japan70

      Volume: 70 Pages: 1347-1373

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] Lie algebras, vertex operator algebras, and related topics2017

    • Author(s)
      Y.~Arike, K.~Nagatomo, Y.~Sakai,
    • Journal Title

      Contemp.~Math., 695J. Algebra

      Volume: 695 Pages: 175-204

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] The third order modular linear differential equations,2017

    • Author(s)
      M.~Kaneko, K.~Nagatomo, Y.~Sakai, The third order modular linear differential equations, J. Algebra, \textbf{485}, 332--352 (2017).
    • Journal Title

      J. Algebra,

      Volume: 485 Pages: 332-352

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Proceeding of Japan Academy Ser. A Math. Sci.

      Volume: 92 Pages: 33-37

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Affine vertex operator algebras and modular linear differential equations2016

    • Author(s)
      Y. Arike, M. Kakeko, K. Nagatomo, Y. Sakai
    • Journal Title

      Lett. Math. Phys.

      Volume: 106 Pages: 693-718

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016

    • Author(s)
      K. Nagatomo, Y. Sakai
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci

      Volume: 92 Pages: 33-37

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016

    • Author(s)
      Kiyokazu Nagatomo and Yuich Sakai
    • Journal Title

      Proceeding of Japan Academy Ser. A Math. Sci.

      Volume: 92 Pages: 33-37

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Journal Article] Affine vertex operator algebras and modular linear differential equations2016

    • Author(s)
      Masanobu Kaneko, Y. Arike, K. Nagatomo, Y. Sakai
    • Journal Title

      Letters in Mathematical Physics

      Volume: 印刷中

    • NAID

      120007187839

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Conformal field theories , modular functors and modular tensor categories2015

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Sugaku Expositions

      Volume: -

    • NAID

      130004558953

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Conformal field theories, modular functors and modular tensor categories2015

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Sugaku Expositions

      Volume: {28 Pages: 95-123

    • NAID

      130004558953

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Journal Article] Conformal field theories, modular functors and modular tensor categories2015

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Sugaku Expositions

      Volume: 28 Pages: 95-123

    • NAID

      130004558953

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Modular Forms and Second Order Ordinary Differential Equations : Applications to Vertex Operator Algebras2013

    • Author(s)
      Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai
    • Journal Title

      Letters in Mathematical Physics

      Volume: 103 (4) Issue: 4 Pages: 439-453

    • DOI

      10.1007/s11005-012-0602-5

    • NAID

      120005227214

    • URL

      http://catalog.lib.kyushu-u.ac.jp/recordID/26122

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-23654013, KAKENHI-PROJECT-24224001
  • [Journal Article] Some Remarks on Pseudo-Trace Functions for Orbifold Models Associated with Symplectic Fermions2012

    • Author(s)
      Yusuke Arike, Kiyokazu Nagatomo
    • Journal Title

      International Journal of Mathematics

      Volume: 24 Issue: 02 Pages: 1350008-1350008

    • DOI

      10.1142/s0129167x13500080

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] 共形場理論,モジュラー関手とモジュラーなテンソル圏2011

    • Author(s)
      Kiyokazu Nagatomo, Akihiro Tsuchiya
    • Journal Title

      数学

      Volume: 63巻第4号 Pages: 396-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] The triplet vertex operator algebras W(p) anf the restrcted quantum group bar{U}_q(sl_2) at q=e^{pii/p}2011

    • Author(s)
      Kiyokazu Nagatomo, Akihiro Tsuchiya
    • Journal Title

      Advanced studies in pure Mathematics

      Volume: 61 Pages: 1-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Journal Article] Quasi-finite algebras graded by Hamiltonian and vertex operator algebras2010

    • Author(s)
      A.Matsuo, K.Nagatomo, A.Tsuchiya
    • Journal Title

      Moonshine-The First Quarter Century and Beyond

      Volume: 372 Pages: 282-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Journal Article] Quasi-finite algebras graded by Hamiltonian and vertex operator algebras Moonshine, The First Quarter Century and Beyond2010

    • Author(s)
      A.Matsuo, Kiyokazu Nagatomo, A.Tsuchiya
    • Journal Title

      Cambridge University Press(Ja.Lepowsky, J.McKay, M.P.Tuite)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Journal Article] Logarithmic Knot Invariants arising from Restricted Quantum group2008

    • Author(s)
      Nagatomo, Kiyokazu, Murakami, Jun
    • Journal Title

      International Journal of Mathematics 19-10

      Pages: 1203-1213

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Journal Article] Logarithmic knot invariants arising from the restricted quantum group2008

    • Author(s)
      Kiyokazu Nagatomo, J.Murakami
    • Journal Title

      International Journal of Mathematics (IJM), Issue 10

      Pages: 1203-1213

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Journal Article] Logarithmic knot invariants arising fromrestricted quantum groups2008

    • Author(s)
      J. Murakami and K. Nagatomo
    • Journal Title

      Internat. J.Math 19 No.10

      Pages: 1203-1213

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Logarithmic Knot Invariants arising from Restricted Quantum group2008

    • Author(s)
      K. Nagatomo, J. Murakami
    • Journal Title

      Int.J.Math. 19-10

      Pages: 1203-1213

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340009
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line with A.Tsuchiya2005

    • Author(s)
      K., Nagatomo
    • Journal Title

      Duke Math. J 128

      Pages: 393-471

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340007
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I. Theories over the projective line2005

    • Author(s)
      K. Nagatomo and A. Tsuchiya
    • Journal Title

      Duke Math. J. 128

      Pages: 393-471

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I2005

    • Author(s)
      K.Nagatomo, A.Tsuchiya
    • Journal Title

      Duke Mathematical Journal 128

      Pages: 393-471

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005

    • Author(s)
      K.Nagatomo, A.Tsuchiya
    • Journal Title

      Duke Mathematical Journal 128巻3号

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005

    • Author(s)
      K.Nagatomo
    • Journal Title

      Duke Mathematical Journal 128・3

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I. Theories over the projective line.2005

    • Author(s)
      Kiyokazu Nagatomo, Akihiro Tsuchiya
    • Journal Title

      Duke Mathematical Journal 128

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-17540012
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I. Theories over the projective line2005

    • Author(s)
      Nagatomo, Kiyokazu
    • Journal Title

      Duke Math.J. 128

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I2005

    • Author(s)
      K.Nagatomo, A.Tsuchiya
    • Journal Title

      Duke Mathematical Journal 128-3

      Pages: 393-471

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340014
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I.Theories over the projective line2005

    • Author(s)
      K.Nagatomo, A.Tsuchiya
    • Journal Title

      Duke Mathematical Journal 128(3)

      Pages: 393-471

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540012
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I: theories over the projective line with A. Tsuchiya2005

    • Author(s)
      K. Nagatomo
    • Journal Title

      Duke Math. J. 128

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340007
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras.I. Theories over the projective line.2005

    • Author(s)
      Nagatomo, Kiyokazu, Tsuchiya, Akihiro
    • Journal Title

      Duke Math.J. 128, no.3

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005

    • Author(s)
      K.Nagatomo
    • Journal Title

      Duke Mathematical Journal 128・3

      Pages: 393-471

    • Data Source
      KAKENHI-PROJECT-16340007
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Duke Math.Journal (発表予定)

    • Data Source
      KAKENHI-PROJECT-16340007
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : Theories over the projective line

    • Author(s)
      K.Nagatomo, A.Tsuchiya
    • Journal Title

      Duke Math.J (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : Theories over the projective line

    • Author(s)
      Kiyokazu Nagatomo
    • Journal Title

      Duke Math.Journal (発表予定)

    • Data Source
      KAKENHI-PROJECT-16634001
  • [Presentation] Vertex operator algebras whose dimensions of weight one spaces are 8 and 162019

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Vertex operator algebras and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Presentation] Modular liner differential equations2018

    • Author(s)
      K. Nagatomo
    • Organizer
      Vertex operator algebras and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Presentation] Modular forms of rational weights2018

    • Author(s)
      K. Nagatomo
    • Organizer
      Vertex Operator Algebras, Number Theory and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05171
  • [Presentation] Characterization of the minimal series of Virasoro vertex operator algebras2016

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Vertex Algebra and Quantum Groups
    • Place of Presentation
      Banff Center, Canada
    • Year and Date
      2016-02-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] Characterization of the minimal series of Virasoro vertex operator algebras2016

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Vertex Algebra and Quantum Groups
    • Place of Presentation
      Banff International Research Station, Banff Center, Alberta, Canada
    • Year and Date
      2016-02-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Presentation] Classification of vertex operator algebras with central charge 1/2 and -67/82015

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Lie algebras, vertex operator algebras, and related topics
    • Place of Presentation
      University of Notre Dame, USA
    • Year and Date
      2015-08-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Presentation] Modular forms, 3rd order ordinary linear differential equations and affine vertex operator algebras2015

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Representation XI
    • Place of Presentation
      Dubrovnik, Croatia
    • Year and Date
      2015-06-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] Modular forms, 3rd order ordinary linear differential equations and affine vertex operator algebras2015

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Representation XI
    • Place of Presentation
      Dubrovnik, Croatia
    • Year and Date
      2015-07-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610007
  • [Presentation] Classification of vertex operator algebras with central charge 1/2 and -67/82015

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Lie algebras, vertex operator algebras, and related topics
    • Place of Presentation
      University of Notre Dame, USA
    • Year and Date
      2015-08-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340010
  • [Presentation] Affine VOA and modular linear differential equations

    • Author(s)
      Kiyokazu Nagatomo
    • Organizer
      Croatia Mathematical Society
    • Place of Presentation
      Dubrovnik, Croatia
    • Year and Date
      2015-06-21 – 2015-06-29
    • Data Source
      KAKENHI-PROJECT-26610007
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  • 78.  河東 泰之 (90214684)
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    # of Collaborated Products: 0 results
  • 79.  渡辺 毅 (50028081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 80.  小磯 深幸 (10178189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 81.  新田 貴士 (20202244)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 82.  小林 毅 (00186751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 83.  横川 光司 (40240189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 84.  厚地 淳 (00221044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 85.  山田 修司 (30192404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 86.  今野 一宏 (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 87.  落合 豊行 (70016179)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 88.  原 靖浩 (10294141)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 89.  和田 健志 (70294139)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 90.  脇 克志 (30250591)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 91.  大野 浩司 (20252570)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 92.  脇本 實 (00028218)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 93.  土屋 昭博 (90022673)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 94.  ZAGIER Don
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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