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HAYATA Takahiro  早田 孝博

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… Alternative Names

早田 孝博  ハヤタ タカヒロ

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Researcher Number 50312757
Affiliation (Current) 2025: 山形大学, 大学院理工学研究科, 准教授
Affiliation (based on the past Project Information) *help 2021 – 2023: 山形大学, 大学院理工学研究科, 准教授
2016: 山形大学, 大学院理工学研究科, 准教授
2012 – 2016: 山形大学, 理工学研究科, 准教授
2014: 山形大学, 大学院理工学研究科, 准教授
2011 – 2012: 山形大学, 理工学研究科, 助教
2010: 山形大学, 工学部, 助教
2000 – 2006: 山形大学, 工学部, 助手
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related / Algebra
Except Principal Investigator
Algebra / Fundamental theory of informatics / 情報通信工学
Keywords
Principal Investigator
基本領域 / 半単純リー群 / 格子 / 行列係数 / 保型形式 / 対称錐 / カルタン分解 / 対称領域 / ジャイロ群 / 対称空間 … More / 正定値対称行列 / 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 / エルミート定数 / 離散系列 / 超幾何関数 / 球関数 / カスピダル・コホモロジー / アイゼンシュタイン・コホモロジー / カスプ形式 / アイゼンシュタイン級数 / 離散系列表現 … More
Except Principal Investigator
public key cryptosystem / RSA暗号 / 公開鍵暗号 / 算術的商空間 / 代数群 / 簡約理論 / spherical functions / automorphic forms / modular forms / 対称錘 / 2次形式 / アデール / 簡約代数群 / 数論的部分群 / 基本領域 / discrete log algorithm / factoring algorithm / LLL algorithm / TSP cryptosystem / knapsack cryptosystem / quadratic field / algebraic field / ElGamal暗号 / 実2次体 / 虚2次体 / RSA署名 / 4次体 / トリボナッチ数列 / 離散対数アルゴリズム / 素因数分解アルゴリズム / LLLアルゴリズム / 巡回セールスマン暗号 / ナップザック暗号 / 2次体 / 代数体 / ElGamal signature scheme / RSA cryptosystem / trap door / discrete logarithm problem / factoring / digital signature / information security / El.Gamal暗号 / 落し戸 / ElGamal署名 / 落し度 / 離散対数問題 / 素因数分解 / ディジタル署名 / 情報セキュリティ / 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 / エルミート定数 / アデール群 / 数論 / 多変数超幾何関数 / Lie群上の球関数 / 不連続群 / 保型型式 / hypergeometric functions / Whittaker functions / fundamental domain / discrete series / Green currents / Whittaker function / Green functions / Automorphic forms / spherical functions on Lie groups / L-functions / moduli spaces / Picardモジュラー形式 / L-関数 / 球関数 / モジュライ空間 / 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 / 保型形式 Less
  • Research Projects

    (10 results)
  • Research Products

    (14 results)
  • Co-Researchers

    (18 People)
  •  Gyro structure on the symplectic lattices and matrix inequalitiesPrincipal Investigator

    • Principal Investigator
      早田 孝博
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Yamagata University
  •  Computation of boundary components of fundamental domains of symmetric cones and its applicationPrincipal Investigator

    • 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 reduction theory of algebraic groups

    • 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
  •  Arithmetic study of automorphic forms of many variables by various method

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Understanding of the relation between degenerate hypergeometric functions and the matrix coefficients of the discrete series representations of semi simple Lie groupsPrincipal Investigator

    • Principal Investigator
      HAYATA Takahiro
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  Construction of Voronoi theory over adele groups

    • 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
  •  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
  •  A research on the design of public key cryptosystem over algebraic field

    • Principal Investigator
      KOBAYASHI Kunikatsu
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Yamagata University
  •  半単純リー群の離散系列表現の行列係数と保型因子Principal Investigator

    • Principal Investigator
      早田 孝博
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  A Development of Public Key Cryptosystem Based on tne Security for the Hard Problem of Number Theory and its Security Evaluation

    • Principal Investigator
      KOBAYASHI Kunikatsu
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      情報通信工学
    • Research Institution
      Yamagata University

All 2016 2015 2014 2012 2011 2010

All Journal Article Presentation

  • [Journal Article] Matrix Coefficients of Discrete Series Representations of SU(3,1)2015

    • Author(s)
      Takahiro Hayata and Harutaka Koseki and Tadashi Miyazaki and Takayuki Oda
    • Journal Title

      Journal of Lie Theory

      Volume: 25

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23540005
  • [Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012

    • Author(s)
      Takahiro Hayata, T.Oda, Tomoki
    • Journal Title

      Experimental Math

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204001
  • [Journal Article] Theta対応に現れるCohomological表現2012

    • Author(s)
      早田 孝博
    • Journal Title

      第19回整数論サマースクール報告集「保型形式のリフティング」

      Volume: 19 Pages: 290-301

    • Data Source
      KAKENHI-PROJECT-23540005
  • [Journal Article] Zero Cells of the Siegel-Gottschling Fundamental Domain of Degree 22012

    • Author(s)
      Takahiro Hayata
    • Journal Title

      Experimental Mathematics,

      Volume: 21(3) Issue: 3 Pages: 266-279

    • DOI

      10.1080/10586458.2012.653273

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244003, KAKENHI-PROJECT-23540016
  • [Journal Article] Matrix coefficients of the middle discrete series of SU(2, 2)2010

    • Author(s)
      T. Hayata(早田孝博), Harutaka Koseki(古関春隆) and T. Oda
    • Journal Title

      J. of Funct. Analysis

      Volume: vol.259 Pages: 301-307

    • Data Source
      KAKENHI-PROJECT-19204001
  • [Journal Article] Matrix coefficients of the middle discrete series of SU(2,2)2010

    • Author(s)
      早田孝博・古関春隆・織田孝幸
    • Journal Title

      Journal of Functional Analysis

      Volume: 259 Pages: 301-307

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204001
  • [Journal Article] Matrix coefficients of the middle discrete series of SU (2,2)2010

    • Author(s)
      T. Hayata, H. Koseki, T. Oda
    • Journal Title

      J.of Funt.Analysis (To appear in)

      Pages: 10-10

    • Data Source
      KAKENHI-PROJECT-19204001
  • [Presentation] Short vector algorithm and the kissing number on the Siegel-Gottschling fundamental domain of degree 22016

    • Author(s)
      早田 孝博
    • Organizer
      ミニワークショップModular forms and period integrals
    • Place of Presentation
      東京大学駒場キャンパス
    • Data Source
      KAKENHI-PROJECT-26400004
  • [Presentation] Computing Kissing Numbers on Classical Groups2016

    • Author(s)
      早田 孝博
    • Organizer
      金沢数論ミニ集会2016
    • Place of Presentation
      金沢大学サテライトプラザ
    • Data Source
      KAKENHI-PROJECT-26400004
  • [Presentation] 0 cells of the Siegel-Gottschling fundamental domain of degree 22015

    • Author(s)
      Takahiro HAYATA
    • Organizer
      MCM2015Autumn
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2015-10-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400004
  • [Presentation] Introduction to derived functor modules; the cases of GL(n;C), of GL(n;R)2014

    • Author(s)
      Takahiro Hayata
    • Organizer
      Work Shop 2014 ``Structure of L^2(H\G) --local Galois case--''
    • Place of Presentation
      岡山大学理学部
    • Data Source
      KAKENHI-PROJECT-23540005
  • [Presentation] Gottschling による二次ジーゲル基本領域の記述について2011

    • Author(s)
      早田 孝博
    • Organizer
      東北大代数セミナー(招待講演)
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-23540005
  • [Presentation] 0-cells of the Siegel-Gottschling fundamental domain of degree 22011

    • Author(s)
      早田孝博
    • 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
      2011-11-01
    • Data Source
      KAKENHI-PROJECT-23540016
  • [Presentation] theta対応に現れる cohomological 表現2011

    • Author(s)
      早田 孝博
    • Organizer
      第19回整数論サマースクール2011「保型形式のリフティング」(招待講演)
    • Place of Presentation
      富士箱根ランド スコーレプラザホテル
    • Data Source
      KAKENHI-PROJECT-23540005
  • 1.  WATANABE Takao (30201198)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  ODA Takayuki (10109415)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 4 results
  • 3.  TSUZUKI Masao (80296946)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  HIRONAKA Yumiko (10153652)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  ISHII Taku (60406650)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  KOSEKI Harutaka (60234770)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 3 results
  • 8.  HIRANO Miki (80314946)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  KOBAYASHI Kunikatsu (40007191)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  ICHIKAWA Takashi (20201923)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  ARIYAMA Kazutoshi (20123713)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  SATO Fumihiro (20120884)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  HAMAHATA Yoshinori (90260645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  WAKATSUKI Satoshi (10432121)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  GON Yasuro (30302508)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  Lee Tim Weng
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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