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Aiba Akira  相羽 明

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AIBA Akira  相羽 明

相羽 明  アイバ アキラ

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Researcher Number 90202457
Other IDs
External Links
Affiliation (Current) 2025: 茨城大学, 基礎自然科学野, 准教授
Affiliation (based on the past Project Information) *help 2007: 茨城大学, 理学部, 准教授
2004 – 2006: Ibaraki University, the college of Mathematical Sciences, Assistant Professor, 理学部, 助教授
2002 – 2003: 茨城大学, 理学部, 助手
2000: IBARAKI Univ. Assistant Professor, 理学部, 助手
1999: 茨城大学, 理学部, 講師
1996 – 1997: 茨城大学, 理学部, 助手
1994: 茨城大学, 理学部, 助手
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / Algebra / Geometry / 解析学
Keywords
Principal Investigator
Carlitz加群 / 正規整数底 / ガロア加群
Except Principal Investigator
hypersurface / normal crossing / monoidal transformation / blowing-up / positive characteristic / resolution / singularity … More / Stickelberger ideal / polynomial / 正規整数底 / H-空間 / 回転群 / 自己ホモトピー同値写像 / 自己写像 / ホモトピー群 / ホモトピー / リー群 / 固有値漸近分布 / パウリ作用素 / 指数積公式 / 非一様磁場 / ideal class group / normal integral basis / Kummer duality / Kummer拡大 / descent / 単項化定理 / p-整数環 / イデアル類群 / nilpotency class of groups / localization / Samelson product / H-map / H-space / Lie grop / homotopy / モチビックコホモロジー / Chow環 / 回転群SO(4) / H空間 / Brown-Petersonコホモロジー / 代数的サイクル / コンパクトリー群 / 例外リー群 / サルメソン積 / 群のべき零指数 / 局所化 / サメルソン積 / H-写像 / 自己写像ホモトピー類集合 / power series / normal crosing / Weier strass theorem / ニュートン多面体 / 例外因子 / 正規交差 / 正標数 / ブローアップ / 特異点 / Weierstrass theorem / scattering amplitudes / scattering by magnetic fields / asymptotic distribution of eigenvalues / Pauli operator / Schrodinger semigroup / exponential product formula / 固有値分布 / レゾルベント / 散乱振幅 / 磁場散乱 / シュレディンガー半群 / Hilbert-Speiser number field / Stickelberger / Hilbert-Speiser / 虚2次体 / 正規底 / 円分岩澤理論 / 円分体 / ideal類群 / 整数環 / Hilbert-Speiserの定理 / べき零 / 連続写像 / ホモトピー同値写像 / 双圏 / 作用素圏 / ベき零指数 / 完全列 / 戸田ブラケット / ベキ零指数 / 写像空間 / べき零指数 / ギップス半群 / 分配関数 / 散乱断面積 / シュレ-ディンガー作用素 Less
  • Research Projects

    (9 results)
  • Research Products

    (5 results)
  • Co-Researchers

    (22 People)
  •  Hilbert-Speiser number fields and Stickelberger ideals

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University
  •  Research on homotopical properties of Lie groups

    • Principal Investigator
      OSHIMA Hideaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Ibaraki University
  •  Study of the structure of integer rings from the view point of cyclotomic Iwasawa theory

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University
      Yokohama City University
  •  Study of algebraic structures on homotopy sets

    • Principal Investigator
      OSHIMA Hideaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Ibaraki University
  •  Theory of resolution of singularities in positive characteristic

    • Principal Investigator
      URABE Tohsuke
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University
  •  Toward the theory of resolution of singularities in positive characteristic

    • Principal Investigator
      URABE Tohsuke
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      IBARAKI UNIVERSITY
  •  Spectral and Scattering Theory and its Application

    • Principal Investigator
      TAMURA Hideo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University
      Ibaraki University
  •  シュレ-ディンガー作用素のスペクトル理論とその応用

    • Principal Investigator
      TAMURA Hideo
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ibaraki University
  •  さまざまな整環のガロア加群構造の研究Principal Investigator

    • Principal Investigator
      相羽 明
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University

All 2008 2003

All Journal Article Presentation

  • [Journal Article] Artin-Schreier extensions and Galois module structure2003

    • Author(s)
      A.Aiba
    • Journal Title

      J.Number Theory 102

      Pages: 118-124

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540058
  • [Journal Article] Artin_Schreier extensions and Galois module structure2003

    • Author(s)
      Akira Aiba
    • Journal Title

      J. Number Theory 102

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540058
  • [Journal Article] On the vanishing of Iwasawa invariants of geometric cyclotomic Z_p^infty extensions2003

    • Author(s)
      Akira Aiba
    • Journal Title

      Acta Arithmetica 108

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540058
  • [Journal Article] On the vanishing of Iwasawa invariants of geometric cyclotomic Z_p^infty extensions2003

    • Author(s)
      A.Aiba
    • Journal Title

      Acta Arithmetica 108

      Pages: 113-122

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540058
  • [Presentation] べき級数体のArtin-Schreier拡大のガロア加群構造2008

    • Author(s)
      相羽 明
    • Organizer
      早稲田大学整数論研究集会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2008-03-10
    • Data Source
      KAKENHI-PROJECT-18540064
  • 1.  OHTSUKA Fumiko (90194208)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  OSHIMA Hideaki (70047372)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  SHIMOMURA Katsunori (00201559)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  URABE Tohsuke (70145655)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  TAMURA Hideo (30022734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  YAGITA Nobuaki (20130768)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  ICHIMURA Humio (00203109)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NAITO Hirotada (00180224)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  SUMIDA Hiroki (90291476)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MATSUDA Ryuki (10006934)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  中村 芳昭 (40007555)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  小野瀬 宏 (80007559)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  山上 滋 (90175654)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  KAWASHITA Mishio (80214633)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ONISHI Kazuei (20078554)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  IWATSUKA Akira (40184890)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  TANAKA Katumi (60207082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  KATSUDA Atsushi (60183779)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  日合 文雄 (30092571)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TAKEUCHI Mamoru (40007761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  森杉 馨 (00031807)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KOYA Yoshihiro (50254230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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