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NAKAJIMA SHOICHI  中島 匠一

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中島 匠一  ナカジマ ショウイチ

NAKAJIMA Shoichi  中島 匠一

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Researcher Number 90172311
Other IDs
External Links
Affiliation (Current) 2025: 学習院大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2014 – 2018: 学習院大学, 理学部, 教授
2010 – 2012: 学習院大学, 理学部, 教授
1998 – 2006: Gakushuin University, Faculty of Science, Professor, 理学部, 教授
1994 – 1997: 東京大学, 大学院・数理科学研究科, 助教授
1994: 東京大学, 大学院数理科学研究科, 助教授
1992: 東京大学, 大学院・数理科学研究科, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / Science education / Science education / 解析学
Keywords
Principal Investigator
岩沢理論 / 岩澤理論 / 類数 / 代数体 / Elliptic Curve / Formal Group / Iwasawa Theory / 形式群(Formal Grorp) / 形式群(Formal Group) / 岩澤理論(Iwasawa Theory) … More / 楕円曲線 / 形式群 / Algebraic number field / Iwasawa theory / 円分体の類数 / 円分体 / 幾何学 / 代数学 / アレキサンダー多項式 / 結び目 / Zp拡大 … More
Except Principal Investigator
HIGH-SCHOOL MATHEMATICS / NATIONAL CURRICULUM / MATHEMATICAL EDUCATION / 高等学校数学 / 教育課程 / 数学教育 / 数学基礎 / 学習指導要領 / 類数 / 超幾何関数 / 正標数 / 保型形式 / FUNDAMENTALS OF MATH / CURRICULUM / 教育過程 / MATHEMATICS ACTIVITIES / FUNDAMENTALS OF MATHEMATICS / CURRICULUM GUIDELINES / 教育ソフト / 数学的活動 / Greenberg conjecture / normal integral basis / power integral basis / 整正規底 / 素数次不分岐Kummer拡大 / 整巾基底 / 整正規基底 / Greenberg予想 / Fermat関数体 / Gauss sum / class number / ideal class group / cyclotomic field / abelian field / ideal類群 / Gauss和 / 岩沢不変量 / 円分関数体 / ガウス和 / イデアル類群 / 円分体 / アーベル体 / local field / Number Theo / 局所体 / 整数論 / Birational canonical / Garnier systems / Painleve equations / Hypergeometric functions / Special functions / Monodromy / Deformation theory / Integrable system / 線型偏微分方程式系 / 梯子構造 / ホロノミック / 多変数特殊関数 / 双有理正準変換 / ガルニエ系 / パンルヴェ方程式 / 超幾何函数 / 多変数特殊函数 / モノドロミ- / 変形理論 / 完全積分可能系 / エタール・コホモロジー / ガロワ表現 / モジュラー曲線 / p進Hodge理論 / 線型符号 / Golay code / 孤立半径 / 完全孤立 / Maninの定理 / [n,k,d]符号 / Hamming code / 符号 / 代数的対応 / p進Hoclse理論 / 保型形式とl進表現 / l進コホモロジー / 安定還元定理 / 局所体上の代数多様体 / アーベル ヤコビ写像 / 小平・Spencer写像 / 完全交差多様体 / ホッヂ構造(のvariation) / 混合モチーフ / Chow群上のフィルター / Chow群 / タイヒミュラー群 / 球関数 / 不連続群 / モジュライ空間 / RM符号 / RS符号 / トーリック多様体 / 符号理論 / 代数多様体 / 四元数環 / アーベル多様体 / 主偏極 / 有理ベクトル場 / wild fibre / 重複ファイバー / 楕円曲面 / L関数 / 保型表現 Less
  • Research Projects

    (20 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (40 People)
  •  Distribution of prime factors of the class numbers of prime-power cyclotomic fieldsPrincipal Investigator

    • Principal Investigator
      NAKAJIMA SHOICHI
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  Alexander polynomials of knots and number theoryPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Shoichi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  Study of developing firm ability in Mathematics.

    • Principal Investigator
      IITAKA Shigeru
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      Gakushuin University
  •  THE PROMTION OF ABILITY OF MATHEMATICS LEARNING

    • Principal Investigator
      SHIGERU Iitaka
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      GAKUSHUIN UNIVERSITY
  •  Research of Iwasawa Theory fof Formal GroupsPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Shoichi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  Study of Iwasawa Theory for Cyclotomic Fields.

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  Arithmetic of Z_p-field and geometry of algebraic curvesPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Shoichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
      The University of Tokyo
  •  Research on the reciprocity law of local fields

    • Principal Investigator
      NAITO Hirotada
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kagawa University
  •  Study of Iwasawa Theory for Cyclotomic Fields.

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  符号理論、格子理論と正標数の代数多様体

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  代数多様体の数論の研究

    • Principal Investigator
      斎藤 毅
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  正標数の代数多様体と符号理論

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  モジェライ空間と不連続群の整数論的研究

    • Principal Investigator
      織田 孝幸
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  代数多様体上の代数的サイクルの研究

    • Principal Investigator
      斉藤 秀司
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  代数多様体の数論の研究

    • Principal Investigator
      齋藤 毅
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  ホッジ理論と数論的類似

    • Principal Investigator
      寺杣 友秀
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  保型関数

    • Principal Investigator
      清水 英男
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  正標数の楕円曲面の研究

    • Principal Investigator
      桂 利行
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  The theory of transformation groups and its application

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  代数体の整数論及びその関連分野の研究Principal Investigator

    • Principal Investigator
      中島 匠一
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2002

All Journal Article

  • [Journal Article] On automorphism groups of algebraic curves2002

    • Author(s)
      Shoichi Nakajima
    • Journal Title

      Current Trends in Number Theory(論文集)

      Pages: 129-134

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12640038
  • [Journal Article] On automorphism groups of algebraic curves2002

    • Author(s)
      Shoichi Nakajima
    • Journal Title

      Current Trends in Number Theory (Proceeding of a conference in India)

      Pages: 129-134

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12640038
  • 1.  斎藤 秀司 (50153804)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  桂 利行 (40108444)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  NAITO Hirotada (00180224)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  ICHIMURA Humio (00203109)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  堀川 穎二 (40011754)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  KURODA Shigenobu (70012416)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  清水 英男 (00012336)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  織田 孝幸 (10109415)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  寺杣 友秀 (50192654)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  SHIGERU Iitaka (20011588)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  ORIHARA Akio (10012337)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  齋藤 毅 (70201506)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  KAWAMOTO Fuminori (50195161)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  NAKANO Shin (40180327)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  KOYA Yoshihiro (50254230)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  MIZUTANI Akira (80011716)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  FUJIWARA Daisuke (10011561)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  OKABE Tsuneharu (80087080)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  KAWASAKI Tetsuro (90107061)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  片岡 俊孝 (20134405)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  加藤 晃史 (10211848)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  川又 雄二郎 (90126037)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  YAMADA Michio (90166736)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KIKUCHI Fumio (40013734)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MIMURA Masayasu (50068128)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  難波 完爾 (40015524)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  谷島 賢二 (80011758)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  寺田 至 (70180081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  森田 茂之 (70011674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  大島 利雄 (50011721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  笹倉 頌夫 (20087026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  時弘 哲治 (10163966)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  山本 昌宏 (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  野海 正俊 (80164672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  北田 均 (40114459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  木村 弘信 (40161575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  中神 祥臣 (70091246)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  Taniguchi Tetsuya
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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