Updated on 2022/11/25

写真b

 
AOKI Noboru
 
*Items subject to periodic update by Rikkyo University (The rest are reprinted from information registered on researchmap.)
Affiliation*
College of Science Department of Mathematics
Graduate School of Science Doctoral Program in Mathematics
Graduate School of Science Master's Program in Mathematics
Title*
Professor
Degree
修士(理学) （ 東京大学 ） / 理学博士 （ 東京大学 ）
Contact information
Mail Address
Research Theme*

  • 代数体や有限体上定義された楕円曲線あるいはその一般化であるアーベル多様体上の有理点を探す問題に興味をもっている。楕円曲線のセルマー群やL関数、あるいはそれに関連する代数的整数論の問題を研究している。

    • Research Interests

  • L-関数

  • 代数幾何

  • 楕円曲線

  • 整数論

  • Algebraic Geometry

    • Campus Career*
    • 4 2003 - Present 
      College of Science   Department of Mathematics   Professor
    • 4 2004 - Present 
      Graduate School of Science   Master's Program in Mathematics   Professor
    • 4 2005 - Present 
      Graduate School of Science   Doctoral Program in Mathematics   Professor
    • 4 1995 - 3 2003 
      College of Science   Department of Mathematics   Assistant Professor
    • 4 1991 - 3 1995 
      College of Science   Department of Mathematics   Lecturer
    • 4 1985 - 3 1991 
      College of Science   Department of Mathematics   Full-time Research Assistant

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    Research Areas

    • Natural Science / Algebra

    Research History

    • 4 2003 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2003 - Present 
      RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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    • 4 2003 - Present 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Professor

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    • 4 1995 - 3 2003 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Associate Professor (as old post name)

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    • 4 1991 - 3 1995 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Lecturer

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    • 4 1985 - 3 1991 
      RIKKYO UNIVERSITY   College of Science Department of Mathematics   Full-time Research Assistant

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    Education

    • - 3 1985 
      The University of Tokyo   Graduate School, Division of Natural Science

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      Country： Japan

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    • - 3 1982 
      The University of Tokyo   Graduate School, Division of Natural Science

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      Country： Japan

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    • - 3 1980 
      The University of Tokyo   Faculty of Science

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      Country： Japan

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    Papers

    • Torsion points on CM abelian varieties

      青木 昇

      立教大学数学研究室 Comment. Math. Univ. Sancti Pauli ( 55 ) 207 - 229   1 1 2006

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      Language：English   Publishing type：Research paper (other academic)  

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    • The Hodge conjecture for the jacobian varieties of generalized Catalan curves

      青木 昇

      Tokyo J. Math. ( 27 ) 313 - 335   1 1 2004

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      Language：English   Publishing type：Research paper (other academic)  

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    • A finiteness theorem on pure Gauss sums

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 53 ) 145 - 168   1 1 2004

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    • On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion

      青木 昇

      Acta Aeuthmetica ( 112 ) 209 - 227   1 1 2004

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    • On the generalized Gross-Tate conjecture for elementary abelian $2$-extensions

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 52 ) 197 - 206   1 1 2003

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    • Hodge cycles on CM abelian varieties of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 51 ) 99 - 129   1 1 2002

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    • Some remarks on the Hodge conjecture for abelian varieties of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 49 ) 177 - 194   1 1 2000

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    • Abelian Fields Generated by a Jacobi Sum

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli45 ( 1 ) 1 - 21   6 1996

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      Language：English   Publishing type：Research paper (other academic)   Publisher：Rikkyo University  

      DOI： 10.14992/00009898

      CiNii Article

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    • Torsion points on abelian varieties with complex multiplication

      青木 昇

      硲文夫編 Algebraic cycles and related topics   1 - 22   1 1 1995

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    • Selmer groups and ideal groups

      青木 昇

      立教大学数学研究室 Comm.Math.Univ.St.Pauli ( 42 ) 231 - 245   1 1 1993

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    • Simple factors of the jacobian of a Fermat curve and the Picard number of a product of Fermat curves

      青木 昇

      Amer.J.Math. ( 113 ) 779 - 833   1 1 1991

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    • Gross' conjecture on the special values of abelian L-functions at s＝0

      青木 昇

      立教大学数学研究室 Comm. Math.Univ.St.Pauli ( 40 ) 101 - 124   1 1 1991

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    • On the Stickelberger ideal of the composite field of some quadratic fields

      青木 昇

      立教大学数学研究室 Comm.Math.Univ.St.Pauli ( 39 ) 195 - 209   10 10 1990

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    • Some new algebraic cycles on Fermat varieties

      青木 昇

      J.Math.Soc.Japan ( 39 ) 385 - 396   1 1 1987

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    • A note on complete intersections of Fermat type

      青木 昇

      立教大学数学研究室 Comm. Math. Univ. St. Pauli ( 35 ) 231 - 245   1 1 1986

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    • Generators of the Neron-Severi group of a Fermat surface

      青木 昇

      Prog. Math. ( 35 ) 1 - 12   1 1 1983

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    • On some arithmetic problems related to the Hodge cycles on the Fermat varieties

      青木 昇

      Math. Ann. ( 266 ) 23 - 54   1 1 1983

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    Books and Other Publications

    • Torsion points on abelian varieties with Complex multiplication

      （ Role： Other）

      Algebraic cycles and related topics (World Scientific)  4 1995 

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      Language：English Book type：Other

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    Works

    • 数論的代数幾何の研究 Other

      2 1989
      -
      7 1990

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      Work type：Other  

      ドイツ国 Max Planck研究所 研究員 数論的代数幾何の研究

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    Research Projects

    • アーベル多様体上の算術的問題の研究

      日本学術振興会  科学研究費助成事業 

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      4 2006 - 3 2010

      Grant type：Competitive

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    • 2次形式および保型形式と関連する種々のゼータ関数の相互関係の研究

      日本学術振興会  科学研究費助成事業 

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      4 2003 - 3 2006

      Grant type：Competitive

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    • 代数曲線の有理点とその整数論への応用

      日本学術振興会  科学研究費助成事業 

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      4 1997 - 3 1999

      Grant type：Competitive

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    • 代数曲線の有理点とその整数論への応用

      日本学術振興会  科学研究費助成事業 

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      4 1997 - 3 1999

      Grant type：Competitive

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    • アーベル多様体の算術的理論の研究

      科学研究費助成事業 

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      4 1995 - 3 1996

      Grant type：Competitive

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    • アーベル多様体の算術的理論の研究

      科学研究費助成事業 

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      4 1995 - 3 1996

      Grant type：Competitive

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    • 楕円曲線の算術的理論の研究

      日本学術振興会  科学研究費助成事業 

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      4 1994 - 3 1995

      Grant type：Competitive

      楕円曲線の算術的理論の研究

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    • L-関数の特殊値の研究

      日本学術振興会  科学研究費助成事業 

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      4 1993 - 3 1994

      Grant type：Competitive

      L-関数の特殊値の研究

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    • 数論的代数幾何の研究

      日本学術振興会  科学研究費助成事業 

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      4 1992 - 3 1993

      Grant type：Competitive

      数論的代数幾何の研究

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    • Rational points on algebraic curves and its application

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      Grant type：Competitive

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    • Study of arithmetic theory of abelian varieties

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      Grant type：Competitive

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