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Takase Koichi  高瀬 幸一

ORCIDConnect your ORCID iD *help
… Alternative Names

高瀬 幸一  タカセ コウイチ

KOICHI Takase  高瀬 幸一

TAKASE Kouichi  高瀬 幸一

高瀬 孝一  タカセ コウイチ

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Researcher Number 60197093
Other IDs
External Links
Affiliation (Current) 2023: 宮城教育大学, 教育学部, 特任教授
Affiliation (based on the past Project Information) *help 2021: 宮城教育大学, 教育学部, 特任教授
2016 – 2020: 宮城教育大学, 教育学部, 教授
2004 – 2012: Miyagi University of Education, Dept. of Math., Professor, 教育学部, 教授
2010: Miyagi University of Education
2002 – 2004: 宮城教育大学, 教育学部, 助教授 … More
1997 – 2000: 宮城教育大学, 教育学部, 助教授
1996: 宮城教育大学, 教育学部・数学科, 助教授
1995: 宮城教育大学, 教育学部, 助教授
1994 – 1995: 宮城教育大学, 数学科, 助教授
1993: 宮城教育大学, 教育学部, 助教授
1989 – 1991: 宮城教育大学, 教育学部, 助教授
1990: 宮城教育大学, 教育学部数学科, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry / Basic analysis
Keywords
Principal Investigator
保型形式 / 保型表現 / ユニタリ表現 / 数論 / 概均質ベクトル空間 / Weil表現 / フーリエ変換 / reductive dual pair / アーベル多様体 / ヴェイユ表現 … More / 球関数 / 冪零軌道 / theta級数 / Jordan三重系 / Fourier変換 / 線形代数群 / 特殊関数 / ジョルダン三重系 / べき零軌道 / テータ級数 / ヤコビ多様体 / ヤコビ形式 / Number Theory / Automorphic Forms / Theta Series / Weil Representation / Abelian Varieties / Jacobi Forms / Pre-Homogeneous Vector Space / 可積分表現 / 次元公式 / 巾零軌道 / automorphic form / Jordan triple system / Siegel保型形式 / Jacobi形式 / Selberg型zeta関数 / Jocohi群 / Siegel-Weilの公式 / Jacobi群 / Sigel-Weilの公式 / Wei表現 / テ-タ級数 / 調和多項式 / 超楕円曲線 / ヤマビ多様体 / 群の表現論 / 離散系列表現 / Jordan 三重系 / 幕零軌道 / データ級数 / ブエイユ表現 / ヤゴビ形式 / Automorphic Representation / ユニタク表現 / ヴェイエ表現 / ヴェイマ表現 / Unitary Representation / リー群 / 代数群 / 波面集合 / integrable representation / dimension formula / Fourier transformation / nilpotent orbit / unitary representation / spherical function / pre-homogeneous vector sac / Fourier transform / 超尖点的既約表現 / Langlandsパラメータ / Weil 群 / root number / Langlands パラメータ / 有限群の既約表現 / Weil-Dekigne群 / .超尖点的既約表現 / 有限群の線形表現 / ハイパースペシャルコンパクト部分群 … More
Except Principal Investigator
保型形式 / グラフ理論 / ファジイ理論 / 作用素環 / 接合積 / ステ-ト / 葉層多様体 / 固有値問題 / ファジィグラフ / C^*ー環 / pー円分体 / pー類群 / xー成分 / ヤコビの和 / 巾指標 / 円単数 / 葉層構造 / 横断的ベクトル場 / コーシー問題 / 局所一意性 / ファジィ多様体 / 力学系 / multiplicative system / martingale / martingale-like過程 / maximal inequality / Walsh series / 重複対数の法則 / 中心極限定理 / block wise-m-dependance列 / テータ級数 / Weil表現 / 概均質ベクトル空間 / Jacobi形式 / テータリフト / ジーゲル保型形式 / 次元公式 / 羃単表現 / 随伴サイクル / Siegel保型形式 / Koecher-Maass級数 / Jocobi形式 / 冪単表現 / L^^<エル>関数 / 球関数 / モジュラー形式 / 特殊関数 / L関数 / L-関数 / Automorphic forms / L-functions / Spherical functions / Modular forms / Special functions / 準古典近似 / Hyperasymptotics / WKB近似 / resurgent関数 / Schrodinger方程式 / semiclassical approximation / hyperasymptotics / WKB approximation / resurgent function / Schroedinger equation Less
  • Research Projects

    (19 results)
  • Research Products

    (31 results)
  • Co-Researchers

    (21 People)
  •  ハイパースペシャル・コンパクト群の既約表現の研究とその応用Principal Investigator

    • Principal Investigator
      高瀬 幸一
    • Project Period (FY)
      2016 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  Study on the spherical function of discrete series representations from the point of view of the theory of automorphic formsPrincipal Investigator

    • Principal Investigator
      TAKASE Koichi (KOICHI Takase)
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  Studies on discrete series representations and the theory of automorphic formsPrincipal Investigator

    • Principal Investigator
      TAKASE Koichi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  Study on the dimension formula of automorphic forms associated with an integrable representationPrincipal Investigator

    • Principal Investigator
      TAKASE Koichi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  Arithmetic studies on Abelian surfacesPrincipal Investigator

    • Principal Investigator
      TAKASE Koichi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  極小表現に基づくテータ級数の一般化

    • Principal Investigator
      SATO Fumihiro
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Rikkyo University
  •  Semiclassical approximations and hyperasymptotics

    • Principal Investigator
      HURUKI Yamada
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      MIYAGI UNIVERSITY OF EDUCATION
  •  Arithmetic of automorphic forms of many variable : reconstruction of the foundation

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Representation Theoretic and/or Geometric Research for Theta SeriesPrincipal Investigator

    • Principal Investigator
      TAKASE Koichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  アーベル曲面の数論的研究Principal Investigator

    • Principal Investigator
      高瀬 幸一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  Weil表現および関連するunitary表現の研究Principal Investigator

    • Principal Investigator
      高瀬 孝一
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  確率論的手法を用いた弱直交系列の漸近挙動の解析

    • Principal Investigator
      吾妻 一興
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Miyagi University of Education
  •  保型形式の数論的研究Principal Investigator

    • Principal Investigator
      高瀬 幸一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  保型形式の表現論的研究Principal Investigator

    • Principal Investigator
      高瀬 幸一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Miyagi University of Education
  •  幾何学的視点および解析学的視点よりみた葉層多様体の性質

    • Principal Investigator
      萬 伸介
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Miyagi University of Education
  •  pー円分体のpー類群のxー成分の構造研究

    • Principal Investigator
      白井 進
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Miyagi University of Education
  •  保型表現の研究Principal Investigator

    • Principal Investigator
      高瀬 幸一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Miyagi University of Education
  •  作用素環の構造研究とその応用

    • Principal Investigator
      武元 英夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Miyagi University of Education
  •  有向グラフにあらわれる諸概念のファジイグラフ上への拡張に関する研究

    • Principal Investigator
      森岡 正臣
    • 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
      Miyagi University of Education

All 2021 2019 2018 2017 2016 2013 2012 2011 2006 Other

All Journal Article Presentation Book

  • [Book] ラマヌジャン:その生涯と業績に想起された主題による十二の講義2016

    • Author(s)
      G.H.Hardy (高瀬幸一訳)
    • Total Pages
      384
    • Publisher
      丸善出版
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Book] p-進群の表現論2013

    • Author(s)
      高瀬幸一
    • Publisher
      GL2 and beyond,Web上に公開
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] Jordan三重系と対称領域2013

    • Author(s)
      高瀬幸一
    • Publisher
      Web上に公開
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] 群の表現論序説2013

    • Author(s)
      高瀬幸一
    • Total Pages
      256
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] Building2013

    • Author(s)
      高瀬幸一
    • Publisher
      Web上に公開
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] 保型形式とユニタリ表現2013

    • Author(s)
      高瀬幸一
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] 保型形式とユニタリ表現(出版予定)

    • Author(s)
      高瀬幸一
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Book] 局所コンパクト群とBanach環の表現論序説(出版検討中)

    • Author(s)
      高瀬幸一
    • Publisher
      岩波書店編集部
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] On certain supercuspidal representations of symplectic groups associated with tamely ramified extensions:the formal degree conjecture and the rot number conjecture2021

    • Author(s)
      Koichi Takase
    • Journal Title

      arXiv:2109.07124

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On supercuspidal representation of Sp2n and Langlands parameters2021

    • Author(s)
      Koichi Takase
    • Journal Title

      数理解析研究所講究録

      Volume: 2204 Pages: 78-95

    • NAID

      120007187450

    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] Regular irreducible representations of classical groups over finite quotient rings2021

    • Author(s)
      Koichi Takase
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 311 Pages: 221-256

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On certain supercuspidal representations of SLn(F) associated with tamely ramified extensions:the formal degree conjecture and the rot number conjecture2021

    • Author(s)
      Koichi Takase
    • Journal Title

      arXiv:2109.04642

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On supercuspidal representations of SLn(F) associated with tamely ramified extensions2019

    • Author(s)
      Takase, Koichi
    • Journal Title

      arXiv.org (arXiv:1805.06186v2)

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] Regular irreducible representations of classical groups over finite quotient rings2019

    • Author(s)
      Takase, Koichi
    • Journal Title

      arXiv.org (to be pubished on Pacific Journal of Mathematics)

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On supercuspidal representations of SLn(F) associated with tamely ramified extensions2018

    • Author(s)
      Takase, Koichi
    • Journal Title

      arXiv.org

      Volume: 1805 Pages: 1-25

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] Regular irreducible characters of a hyperspecial compact group2017

    • Author(s)
      Koichi Takase
    • Journal Title

      Cornel University Library

      Volume: -

    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On generic supercuspidal representations of Sp(2n)2017

    • Author(s)
      Koichi Takase
    • Journal Title

      Cornel University Library

      Volume: -

    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] 分割数とは2017

    • Author(s)
      高瀬 幸一
    • Journal Title

      数学セミナー

      Volume: 56 Pages: 8-13

    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Journal Article] On a spherical function of a supercuspidal representation of GLn(F) and its Fourier transform2013

    • Author(s)
      K.Takase
    • Volume
      pre-print
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] 重さ半整数のSiegelモジュラー形式とJacobi形式2012

    • Author(s)
      高瀬幸一
    • Journal Title

      第19回整数論サマースクール報告集

      Volume: (掲載確定済)(未定)

    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] 特集/数論の探求, 名著をめぐって2011

    • Author(s)
      高瀬幸一
    • Journal Title

      数理科学

      Volume: No.571 Pages: 54-55

    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] 特集/数論の探求,名著をめぐって2011

    • Author(s)
      高瀬幸一
    • Journal Title

      数理科学

      Volume: no.571 Pages: 54-55

    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] 特集/数論の探求,名著をめぐって2011

    • Author(s)
      高瀬幸一
    • Journal Title

      数理科学 no.571

      Pages: 54-55

    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] 謎をもって謎に答える,或いは問題の解消2011

    • Author(s)
      高瀬幸一
    • Journal Title

      現代思想

      Volume: vol.39 Pages: 122-129

    • Data Source
      KAKENHI-PROJECT-20540005
  • [Journal Article] Arakawa's works on Selberg zeta functions2006

    • Author(s)
      K.Takase, Tsuneo Arakawa, his works
    • Journal Title

      Automorphic Forms and Zeta Functions

      Pages: 5-15

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540003
  • [Journal Article] Aakakawa' s works on Selberg zeta functions2006

    • Author(s)
      Koichi Takase
    • Journal Title

      Automorphic forms and zeta functions(F. Sato etal. ed.)

      Pages: 5-15

    • Data Source
      KAKENHI-PROJECT-17540005
  • [Journal Article] Tsuneo Arakawa and his works : Arakawa's works on Selberg zeta functions2006

    • Author(s)
      K.Takase
    • Journal Title

      Automorphic Forms and Zeta Functions

      Pages: 5-15

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540003
  • [Journal Article] Tsuneo Arakawa and his works : Arakawa's works on Selberg zeta Functions2006

    • Author(s)
      K.Takase
    • Journal Title

      Automorphic Forms and Zeta Functions

      Pages: 5-15

    • Data Source
      KAKENHI-PROJECT-17540005
  • [Presentation] On supercuspidal representations of Sp(2n) and Langlands parameters2021

    • Author(s)
      Koichi Takase
    • Organizer
      RIMS共同研究「保形形式,保形表現,ガロア表現とその周辺」
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05053
  • [Presentation] 重さ半整数のSiegelモジュラー形式とJacobi形式2011

    • Author(s)
      高瀬幸一
    • Organizer
      第19回整数論サマースクール「保型形式のリフティング」
    • Place of Presentation
      富士箱根ランド・スコーレムプラザホテル
    • Data Source
      KAKENHI-PROJECT-20540005
  • [Presentation] 重さ半整数のSiegelモジュラー形式とJacobi形式2011

    • Author(s)
      高瀬幸一
    • Organizer
      第19回整数論サマースクール
    • Place of Presentation
      富士箱根ランドスコルプラザホテル(招待講演)
    • Year and Date
      2011-09-06
    • Data Source
      KAKENHI-PROJECT-20540005
  • 1.  SHIRAI Susumu (30115175)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  TAKEMOTO Hideo (00004408)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  URIU Hitoshi (10139511)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  森岡 正臣 (10174400)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  萬 伸介 (40019849)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  ITAGAKI Yoshio (30006431)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  AZUMA Kazuoki (70005776)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  HURUKI Yamada (00092578)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  SATO Fumihiro (20120884)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  OCHIAI Hiroyuki (90214163)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  栗山 義明 (20006430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  宇澤 達 (40232813)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  ODA Takayuki (10109415)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SAITO Hiroshi (20025464)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  ARAKAWA Tsuno (60097219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  HIRONAKA Yumiko (10153652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  山崎 正 (30011696)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  菅野 孝史 (30183841)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  村瀬 篤 (40157772)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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