NAKAJIMA SHOICHI 中島匠一

… Alternative Names

NAKAJIMA Shoichi 中島匠一

中島匠一ナカジマシヨウイチ

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Researcher Number	90172311
Other IDs
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Affiliation (Current)	2022: 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 / 解析学 / Science education / Science education
Keywords	Principal Investigator 岩沢理論 / 代数体 / 類数 / 岩澤理論 / Zp拡大 / 結び目 / アレキサンダー多項式 / 代数学 / 幾何学 / 円分体 … More / 円分体の類数 / Iwasawa theory / Algebraic number field / 形式群 / 楕円曲線 / 岩澤理論(Iwasawa Theory) / 形式群(Formal Group) / 形式群(Formal Grorp) / Iwasawa Theory / Formal Group / Elliptic Curve … More Except Principal Investigator 保型形式 / 正標数 / 超幾何関数 / 類数 / 学習指導要領 / 数学基礎 / 数学教育 / 教育課程 / 高等学校数学 / MATHEMATICAL EDUCATION / NATIONAL CURRICULUM / HIGH-SCHOOL MATHEMATICS / 保型表現 / L関数 / 楕円曲面 / 重複ファイバー / wild fibre / 有理ベクトル場 / 主偏極 / アーベル多様体 / 四元数環 / 代数多様体 / 符号理論 / トーリック多様体 / RS符号 / RM符号 / モジュライ空間 / 不連続群 / 球関数 / タイヒミュラー群 / Chow群 / Chow群上のフィルター / 混合モチーフ / ホッヂ構造(のvariation) / 完全交差多様体 / 小平・Spencer写像 / アーベルヤコビ写像 / 局所体上の代数多様体 / 安定還元定理 / l進コホモロジー / 保型形式とl進表現 / p進Hoclse理論 / 代数的対応 / 符号 / Hamming code / [n,k,d]符号 / Maninの定理 / 完全孤立 / 孤立半径 / Golay code / 線型符号 / p進Hodge理論 / モジュラー曲線 / ガロワ表現 / エタール・コホモロジー / 完全積分可能系 / 変形理論 / モノドロミ- / 多変数特殊函数 / 超幾何函数 / パンルヴェ方程式 / ガルニエ系 / 双有理正準変換 / 多変数特殊関数 / ホロノミック / 梯子構造 / 線型偏微分方程式系 / Integrable system / Deformation theory / Monodromy / Special functions / Hypergeometric functions / Painleve equations / Garnier systems / Birational canonical / 整数論 / 局所体 / Number Theo / local field / アーベル体 / 円分体 / イデアル類群 / ガウス和 / 円分関数体 / 岩沢不変量 / Gauss和 / ideal類群 / abelian field / cyclotomic field / ideal class group / class number / Gauss sum / Fermat関数体 / Greenberg予想 / 整正規基底 / 整巾基底 / 素数次不分岐Kummer拡大 / 整正規底 / power integral basis / normal integral basis / Greenberg conjecture / 数学的活動 / 教育ソフト / CURRICULUM GUIDELINES / FUNDAMENTALS OF MATHEMATICS / MATHEMATICS ACTIVITIES / 教育過程 / CURRICULUM / FUNDAMENTALS OF MATH Less

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

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5. 堀川穎二 (40011754)

# of Collaborated Projects: 4 results

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6. KURODA Shigenobu (70012416)

# of Collaborated Projects: 3 results

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7. KOHNO Toshitake (80144111)

# of Collaborated Projects: 3 results

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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

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13. OKAMOTO Kazuo (40011720)

# of Collaborated Projects: 2 results

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14. 齋藤毅 (70201506)

# of Collaborated Projects: 2 results

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15. KAWAMOTO Fuminori (50195161)

# of Collaborated Projects: 2 results

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16. NAKANO Shin (40180327)

# of Collaborated Projects: 2 results

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17. KOYA Yoshihiro (50254230)

# of Collaborated Projects: 2 results

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18. MIZUTANI Akira (80011716)

# of Collaborated Projects: 2 results

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19. FUJIWARA Daisuke (10011561)

# of Collaborated Projects: 2 results

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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

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31. 森田茂之 (70011674)

# of Collaborated Projects: 1 results

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32. 大島利雄 (50011721)

# of Collaborated Projects: 1 results

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33. 笹倉頌夫 (20087026)

# of Collaborated Projects: 1 results

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34. 時弘哲治 (10163966)

# of Collaborated Projects: 1 results

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35. 山本昌宏 (50182647)

# of Collaborated Projects: 1 results

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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

NAKAJIMA SHOICHI 中島 匠一

NAKAJIMA Shoichi 中島 匠一

中島 匠一 ナカジマ シヨウイチ

Research Projects

Research Products

Co-Researchers

Distribution of prime factors of the class numbers of prime-power cyclotomic fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Alexander polynomials of knots and number theoryPrincipal Investigator

Principal Investigator

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Research Category

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Principal Investigator

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Principal Investigator

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Research of Iwasawa Theory fof Formal GroupsPrincipal Investigator

Principal Investigator

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Principal Investigator

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Arithmetic of Z_p-field and geometry of algebraic curvesPrincipal Investigator

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Principal Investigator

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Principal Investigator

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Principal Investigator

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Principal Investigator

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NAKAJIMA SHOICHI 中島匠一

NAKAJIMA Shoichi 中島匠一

中島匠一ナカジマシヨウイチ