ISHII Noburo 石井伸郎

… Alternative Names

石井伸郎イシイノブロウ

Less

Researcher Number	30079024
Other IDs
Affiliation (based on the past Project Information) *help	2005: Osaka Prefecture University, Faculty of Liberal arts and Sciences, Professor, 総合教育研究機構, 教授 2000 – 2004: 大阪府立大学, 総合科学部, 教授 1995: 大阪府立大学, 総合科学部, 教授 1989 – 1992: Associate Professor, 総合科学部, 助教授 1988: 大阪府立大学, 総合科学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 Except Principal Investigator 解析学 / Geometry / 代数学・幾何学
Keywords	Principal Investigator 楕円曲線 / 定義方程式 / Frobenius endomorphism / トレース / モジュラー関数体 / J-invariant function / defining equation / elliptic curves / modular function fields / フロベニウス凖同型 … More / J-関数 / 巡回的有理点群 / J-不変関数 / モジュラー曲線 / フロベニウス準同型写像 / モジュラー不変関数 / Trace / Elliptic curve cryptosystems / Elliptic crve / Defining equation / Generators / Modular function field / フロベニウス準同型 / 楕円暗号 / 生成元 / Automorphic representation / Lie group / Formal group / Groupoid scheme / Homotopy / Elliptic cohomology / Elliptic curve / 形成群 / ホモロジ- / 保型表現 / リ-群 / 形式群 / 亜群スキ-ム / ホモトピ- / 楕円的コホモロジ- / torsion molecule / elliptic cohomology / コンダクター / cuspidal表現 / modular curve / Arithmetic Geometry … More Except Principal Investigator コホモロジー / ユニタリー表現 / コホモロジ- / ユニタリ-表現 / 保型表現 / lattice path combinatorics / class field / unitary representation / cohomology / Cauchy problem / propagation of singularity / Fourier integral operator / hyperbolic equation / 発散級数 / E.R.積分 / ブール関数 / 保型形式 / 波面集合 / 格子経路組合せ / 類体 / 初期値問題 / 特異性の伝播 / フ-リェ積分作用素 / 双曲型方程式 / 数論的部分群 / 代数群 / 跡公式 / アリスメティック部分群 Less

Study on arithmetic properties of modular function fields and elliptic curves by constructive methods.Principal Investigator
- Principal Investigator
  
  ISHII Noburo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka Prefecture University
GENERATORS AND DEFINING EQUATIONS OF MODULAR FUNCTION FIELDSPrincipal Investigator
- Principal Investigator
  
  ISHII Noburo
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka Prefecture University
楕円曲線とArithmetic Geometryの研究・応用Principal Investigator
- Principal Investigator
  
  石井伸郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka Prefecture University
リー群の保型表現とその応用
- Principal Investigator
  
  今野泰子
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Prefecture University
リー群の離散部分群をめぐる幾何と表現論
- Principal Investigator
  
  KONNO Yasuko
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka Prefecture University
Application of theory of elliptic curves to algebraic topologyPrincipal Investigator
- Principal Investigator
  
  ISHII Noburo
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Osaka Prefecture
Properties of Solutions of Partial Differential Equations and Their Applications
- Principal Investigator
  
  OKANO Hatsuo
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Osaka Prefecture

All 2005 2004

All Journal Article

[Journal Article] Representation of modular invariant function by generators of a modular function field2005
- Author(s)
  Noburo Ishii
- Journal Title
  
  DMIS Research Reports 05-02
  
  Pages: 1-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540042
[Journal Article] A representation of the invariant function as a polynomial of degree 112005
- Author(s)
  Noburo Ishii, Naoya Nakazawa
- Journal Title
  
  DMIS Research Reports 05-03
  
  Pages: 1-4
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540042
[Journal Article] Representation of modular invariant function by generators of a modular function field2005
- Author(s)
  Noburo Ishii
- Journal Title
  
  DMIS Research Reports 05-2
  
  Pages: 1-23
- Data Source
  KAKENHI-PROJECT-15540042
[Journal Article] Representation of modular invariant function by generators of a modular function fields.2005
- Author(s)
  Noburo Ishii
- Journal Title
  
  DMIS Research Reports 05-02
  
  Pages: 1-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540042
[Journal Article] Trace of Frobenius endomorphism of an elliptic curve with complex multiplication2004
- Author(s)
  Noburo Ishii
- Journal Title
  
  Bull.Australian Math.Soc.
  
  Pages: 125-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540042
[Journal Article] Trace of Frobenius endomorphism of an elliptic curve with complex multiplication2004
- Author(s)
  Noburo Ishii
- Journal Title
  
  Bull.Australian Math.Soc 70
  
  Pages: 125-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540042

1. KONNO Yasuko (70028231)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. YAMAGUCHI Atsushi (80182426)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. TAKAHASHI Tetsuya (20212011)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. TANIGUCHI Kazuo (80079037)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. OKANO Hatuo (40079033)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. SHINKAI Kenzo (50079034)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 柏原紘子 (30079032)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 米田薫 (80079029)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 鈴木登志雄 (30235973)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 加茂静雄 (30128764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YAMAMOTO Yoshihiko (90028184)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. SATO Masako (50081419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ISHII Noburo 石井 伸郎

石井 伸郎 イシイ ノブロウ

Research Projects

Research Products

Co-Researchers

Study on arithmetic properties of modular function fields and elliptic curves by constructive methods.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

GENERATORS AND DEFINING EQUATIONS OF MODULAR FUNCTION FIELDSPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

楕円曲線とArithmetic Geometryの研究・応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リー群の保型表現とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

リー群の離散部分群をめぐる幾何と表現論

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Application of theory of elliptic curves to algebraic topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Properties of Solutions of Partial Differential Equations and Their Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Representation of modular invariant function by generators of a modular function field2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] A representation of the invariant function as a polynomial of degree 112005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Representation of modular invariant function by generators of a modular function field2005

Author(s)

Journal Title

Data Source

[Journal Article] Representation of modular invariant function by generators of a modular function fields.2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Trace of Frobenius endomorphism of an elliptic curve with complex multiplication2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Trace of Frobenius endomorphism of an elliptic curve with complex multiplication2004

Author(s)

Journal Title

Description

Data Source

ISHII Noburo 石井伸郎

石井伸郎イシイノブロウ