Updated on 2022/05/25

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 Field of Study: Mathematics
Graduate School of Science Field of Study: 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 2003 - Present 
      Graduate School of Science   Field of Study: Mathematics   Professor
    • 4 2003 - Present 
      Graduate School of Science   Field of Study: Mathematics   Professor
    • 4 1995 - 3 2003 
      College of Science   Department of Mathematics   Associate Professor (as old post name)
    • 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
     

    Research Areas

    • Natural Science / Algebra

    Research History

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

      More details

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

      More details

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

      More details

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

      More details

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

      More details

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

      More details

    ▼display all

    Education

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

      More details

      Country: Japan

      researchmap

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

      More details

      Country: Japan

      researchmap

    • - 3 1980 
      The University of Tokyo   Faculty of Science

      More details

      Country: Japan

      researchmap

    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

      More details

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

      researchmap

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

      青木 昇

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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

    • Some new algebraic cycles on Fermat varieties

      青木 昇

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

      More details

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

      researchmap

    • 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

      More details

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

      researchmap

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

      青木 昇

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

      More details

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

      researchmap

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

      青木 昇

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

      More details

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

      researchmap

    ▼display all

    Books and Other Publications

    • Torsion points on abelian varieties with Complex multiplication

      ( Role: Other)

      Algebraic cycles and related topics (World Scientific)  4 1995 

      More details

      Language:English Book type:Other

      researchmap

    Works

    • 数論的代数幾何の研究 Other

      2 1989
      -
      7 1990

      More details

      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

      researchmap

    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 

      More details

      4 2006 - 3 2010

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 2003 - 3 2006

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 1997 - 3 1999

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 1997 - 3 1999

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 1995 - 3 1996

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 1995 - 3 1996

      Grant type:Competitive

      researchmap

    • 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 

      More details

      4 1994 - 3 1995

      Grant type:Competitive

      楕円曲線の算術的理論の研究

      researchmap

    • 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 

      More details

      4 1993 - 3 1994

      Grant type:Competitive

      L-関数の特殊値の研究

      researchmap

    • 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 

      More details

      4 1992 - 3 1993

      Grant type:Competitive

      数論的代数幾何の研究

      researchmap

    • Rational points on algebraic curves and its application

      More details

      Grant type:Competitive

      researchmap

    • Study of arithmetic theory of abelian varieties

      More details

      Grant type:Competitive

      researchmap

    ▼display all