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Fujii Satoshi  藤井 俊

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… Alternative Names

FUJII Satoshi  藤井 俊

藤井 俊  フジイ サトシ

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Researcher Number 20386618
Other IDs
Affiliation (Current) 2025: 島根大学, 学術研究院教育学系, 准教授
Affiliation (based on the past Project Information) *help 2018 – 2024: 島根大学, 学術研究院教育学系, 准教授
2014 – 2018: 金沢工業大学, 基礎教育部, 講師
2012: 金沢工業大学, 講師
2007: 慶應義塾大学, 大学院・理工学研究科, 特別研究助教
2005 – 2006: 早稲田大学, 理工学部, 助手
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Basic Section 11010:Algebra-related
Keywords
Principal Investigator
射 / 岩澤加群 / 一般グリーンバーグ予想 / 円分的Z_p拡大 / 岩澤理論 / 非可換不分岐ガロワ群 / pseudo-null部分加群 / 多変数岩澤理論 / マイナス商 / 持ち上げ写像 … More / イデアル類群 / 尾崎予想 / 不分岐岩澤加群 / 虚アーベル体 / 類数 / 虚二次体 / 非自由性予想 / 非可換不分岐拡大 / 一般Greenberg予想 / イデアル類群のマイナス商 / 円分体 … More
Except Principal Investigator
岩澤理論 / イデアル類群 / 岩澤加群 / 楕円曲線 / Selmer群 / 整数論 / セルマー群 / 馴分岐拡大 / Euler系 / 国際研究者交流 / Fittingイデアル / 楕円曲線のSelmer群 / オイラー系 / Stark系 / ゼータ元 / 同変岩澤理論 / Mazur Tate予想 / zeta元 / 保形形式 / Gauss和型Euler系 / Fitting ideal / Iwasawa module / zeta elements / Iwasawa theory / イギリス:ドイツ:中国:ベトナム / ゼータ関数 / 同変玉河数予想 / 同変岩澤主予想 / Stark予想 / p群 / 類数 / 不分岐拡大 / ガロアの逆問題 / 岩澤不変量 / 最大不分岐拡大 / ガロワコホモロジー / 単数群 / 制限分岐拡大 / デデキントゼータ函数 / 非アーベル拡大 / ガロワ群 / 代数体 / 数論 / 有理点 / p進L関数 / Stickelberger元 / ドイツ:韓国 / Kolyvagin系 / 岩澤主予想 Less
  • Research Projects

    (9 results)
  • Research Products

    (37 results)
  • Co-Researchers

    (25 People)
  •  岩澤理論の幾何学的研究Principal Investigator

    • Principal Investigator
      藤井 俊
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Shimane University
  •  New Development of Iwasawa theory and Euler systems

    • Principal Investigator
      栗原 将人
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Keio University
  •  New Development of Iwasawa theory

    • Principal Investigator
      Kurihara Masato
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Keio University
  •  Studies of Iwasawa theory and non-abelian unramified Galois groupsPrincipal Investigator

    • Principal Investigator
      Fujii Satoshi
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Shimane University
  •  Study of unramified Iwasawa modules by using tamely ramified extensions

    • Principal Investigator
      ITOH Tsuyoshi
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba Institute of Technology
  •  p群に対するガロアの逆問題の不分岐解に関する研究

    • Principal Investigator
      野村 明人
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Development of Iwasawsa theory

    • Principal Investigator
      Kurihara Masato
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Study of non-abelian number theory based on Iwasawa theory

    • Principal Investigator
      OZAKI Manabu
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
      Kinki University
  •  Refined Iwasawa theory and the zeta functions

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University

All 2022 2020 2019 2018 2017 2016 2015 2014 2008 2006 2005

All Journal Article Presentation

  • [Journal Article] On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules2022

    • Author(s)
      Fujii, Satoshi
    • Journal Title

      New York Journal of Mathematics

      Volume: 28 Pages: 523-533

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Journal Article] On minus quotients of ideal class groups of cyclotomic fields2020

    • Author(s)
      Fujii, Satoshi
    • Journal Title

      International Journal of Number Theory

      Volume: 16 Issue: 09 Pages: 2013-2026

    • DOI

      10.1142/s1793042120501043

    • NAID

      120007159678

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Journal Article] Some remarks on finite submodules of the unramified Iwasawa module of totally real fields2020

    • Author(s)
      Fujii, Satoshi
    • Journal Title

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 96 Issue: 9 Pages: 83-85

    • DOI

      10.3792/pjaa.96.016

    • NAID

      40022438303

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Journal Article] Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules2018

    • Author(s)
      Satoshi Fujii and Tsuyoshi Itoh
    • Journal Title

      Journal de Theorie des Nombres de Bordeaux

      Volume: 30 Issue: 2 Pages: 533-555

    • DOI

      10.5802/jtnb.1038

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03259, KAKENHI-PROJECT-15K04791
  • [Journal Article] 総虚体の一般Greenberg予想について2016

    • Author(s)
      藤井俊
    • Journal Title

      第14回北陸数論研究集会報告集

      Volume: 14 Pages: 36-48

    • Data Source
      KAKENHI-PROJECT-25247002
  • [Journal Article] On restricted ramifications and pseudo-null submodules of Iwasawa modules for Z_p^2-extensions2014

    • Author(s)
      Satoshi Fujii
    • Journal Title

      Journal Ramanujan Math. Soc

      Volume: 29 Pages: 295-305

    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Journal Article] On restricted ramifications and pseudo-null submodules of Iwasawa modules for Z_p^2-extensions2014

    • Author(s)
      Fujii Satoshi
    • Journal Title

      Journal of the Ramanujan Mathematical Society

      Volume: 29 Pages: 295-305

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Journal Article] The torsion of p-ramified Iwasawa modules2008

    • Author(s)
      Satoshi Fujii
    • Journal Title

      Proc.Amer.Math.Soc 136

      Pages: 461-466

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340010
  • [Journal Article] Construction of Z_p-extensions with prescribed Iwasawa $lambda$-invariants2006

    • Author(s)
      Satoshi Fujii, Y. Ohgi, M. Ozaki
    • Journal Title

      Journal of Number Theory Vol. 118 No. 2

      Pages: 200-207

    • Data Source
      KAKENHI-PROJECT-17340010
  • [Journal Article] On a higher class number formula of Z_{p}-extensions2005

    • Author(s)
      Satoshi Fujii
    • Journal Title

      Tokyo Journal of Mathematics 28

      Pages: 55-61

    • Data Source
      KAKENHI-PROJECT-17340010
  • [Presentation] 円分体のイデアル類群のいくつかの結果について2020

    • Author(s)
      藤井俊
    • Organizer
      2020大分整数論研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] ガロア理論続論2019

    • Author(s)
      藤井俊
    • Organizer
      2019年度第27回整数論サマースクール 「構成的ガロア逆問題と不変体の有理性問題」
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] 円分体のイデアル類群のマイナスパートの挙動について2019

    • Author(s)
      藤井俊
    • Organizer
      愛知数論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01783
  • [Presentation] 円分体のイデアル類群のマイナスパートの挙動について2019

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] 円分体のイデアル類群のマイナスパートの挙動について2019

    • Author(s)
      藤井俊
    • Organizer
      愛知数論セミナー
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] 円分体のイデアル類群のマイナスパートの挙動について2019

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01783
  • [Presentation] ある虚二次体の円分的Z_3拡大上の最大不分岐pro-3ガロワ群の自由性について2018

    • Author(s)
      藤井俊
    • Organizer
      早稲田大学整数論セミナー
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] 類群問題, Cornellの結果に対する注意2018

    • Author(s)
      藤井俊
    • Organizer
      第17回北陸数論研究集会
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] ある虚二次体の円分的 Z3 拡大上の最大不分岐 pro-3 ガロワ群の自由性について2018

    • Author(s)
      藤井俊
    • Organizer
      早稲田大学整数論セミナー
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] 類群問題, Cornellの結果に対する注意2018

    • Author(s)
      藤井俊
    • Organizer
      第17回北陸数論研究集会
    • Data Source
      KAKENHI-PROJECT-18K03259
  • [Presentation] ある虚二次体の円分的Z_3拡大上の最大不分岐pro-3ガロワ拡大の構造について2017

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー第211回
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] 虚二次体上の一般Greenberg予想について2017

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー第202回
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] 虚二次体上の一般Greenberg予想について2017

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules (千葉工業大学 伊藤剛司氏との共同研究)2016

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー第188回
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県金沢市)
    • Year and Date
      2016-05-12
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] p類体塔と非アーベル岩澤理論における幾つかの問題について2016

    • Author(s)
      藤井俊
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県金沢市)
    • Year and Date
      2016-12-25
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] Some remarks on pseudo-rull submodules of tamely ramified Iwasawa modules2016

    • Author(s)
      藤井 俊
    • Organizer
      北陸数論セミナー
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2016-05-12
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Presentation] On Greenberg's generalized conjecture for totally imaginary fields2016

    • Author(s)
      藤井 俊
    • Organizer
      Christian Maire氏(Universite de Franche-Comte)を囲んだ小研究集会
    • Place of Presentation
      早稲田大学西早稲田キャンパス
    • Year and Date
      2016-05-16
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Presentation] p類体塔と非アーベル岩澤理論における幾つかの問題について2016

    • Author(s)
      藤井俊
    • Organizer
      北陸数論研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules2016

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] On Greenberg's generalized conjecture for totally imaginary fields2016

    • Author(s)
      藤井俊
    • Organizer
      Christian Maire氏を囲んでの小研究集会
    • Place of Presentation
      早稲田大学西早稲田キャンパス(東京都新宿区)
    • Year and Date
      2016-05-16
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] 総虚体の一般 Greenberg 予想について2015

    • Author(s)
      藤井俊
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2015-12-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Presentation] non-CM 総虚体の一般 Greenberg 予想に向けて2015

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2015-11-05
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Presentation] non-CM 総虚体の一般 Greenberg 予想に向けて2015

    • Author(s)
      Satoshi Fujii
    • Organizer
      北陸数論セミナー講演
    • Place of Presentation
      金沢サテライトプラザ(石川県金沢市)
    • Year and Date
      2015-11-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] 総虚体の一般 Greenberg 予想について2015

    • Author(s)
      Satoshi Fujii
    • Organizer
      北陸数論研究集会講演
    • Place of Presentation
      金沢サテライトプラザ(石川県金沢市)
    • Year and Date
      2015-12-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] non-CM 総虚体の一般 Greenberg 予想に向けて2015

    • Author(s)
      藤井俊
    • Organizer
      北陸数論セミナー第183回
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県金沢市)
    • Year and Date
      2015-11-05
    • Data Source
      KAKENHI-PROJECT-15K04791
  • [Presentation] Z_p^2拡大上の一部分岐拡大と不分岐岩澤加群の pseudo-null 部分加群について2014

    • Author(s)
      藤井俊
    • Organizer
      愛知数論セミナー
    • Place of Presentation
      愛知工業大学
    • Year and Date
      2014-12-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400009
  • [Presentation] 可換拡大の岩澤理論の代数的側面について2014

    • Author(s)
      藤井俊
    • Organizer
      第22回整数論サマースクール
    • Place of Presentation
      香川県小豆島ふるさと村
    • Year and Date
      2014-08-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400009
  • 1.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  SHIOKAWA Iekata (00015835)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  MATSUNO Kazuo (40332936)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  HACHIMORI Yoshitaka (50433743)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  ITOH Tsuyoshi (80339689)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  OTA Katsuhiro (40213722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  BANNAI Kenichi (90343201)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  AOKI Miho (10381451)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  OZAKI Manabu (80287961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  MIZUSAWA Yasushi (60453817)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  落合 理 (90372606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  加藤 和也 (90111450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  野村 明人 (00313700)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  脇 克志 (30250591)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  小林 真一 (80362226)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  池田 保 (20211716)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  佐野 昂迪 (30794698)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  坂本 龍太郎 (70905447)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TOHKAILIN Mitsul
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OKANO Keiji
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MAIRE Christian
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ABBAS Chazad Movahhedi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  BRUNO Angles
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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