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Hachimori Yoshitaka  八森 祥隆

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HACHIMORI Yoshitaka  八森 祥隆

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Researcher Number 50433743
Other IDs
Affiliation (Current) 2025: 東京理科大学, 創域理工学部数理科学科, 准教授
Affiliation (based on the past Project Information) *help 2015 – 2018: 東京理科大学, 理工学部数学科, 准教授
2012 – 2014: 東京理科大学, 理工学部, 准教授
2011: 東京理科大学, 理工学部・数学科, 准教授
2007 – 2011: Tokyo University of Science, Faculty of Science and Technology, Assistant Professor
2006: 慶應義塾大学, 理工学部, 講師
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra
Keywords
Principal Investigator
岩澤主予想 / 岩澤理論 / 整数論 / 楕円単数 / ポジティブ分岐拡大 / 数論 / セルマー群 / 反円分的拡大
Except Principal Investigator
イデアル類群 / 楕円曲線 … More / 国際研究者交流 / 岩澤理論 / 整数論 / Rankin-Selberg / Selmer群 / セルマー群 / Fittingイデアル / 岩澤主予想 / medular forms / 保型形式 / Mellin transform / confluent hypergeometric function / zonal polynomial / Eisenstein seeries / Degenerate principal series / Rankin-Selberg L函数 / Koecher-Maass級数 / Maassリフティング / 退化Whittaker模型 / 合流型超幾何函数 / Zuckerman導来函手加群 / 実解析的Eisenstein級数 / 実解析的Siegel保型形式 / 留数形式 / 半整数重さ / 正規化メリン変換 / 実解析的保型形式 / 斉藤・黒川保型形式 / Rankin-Selber / 一般型メリン変換 / Ge enbauer多項式 / メリン変換 / 合流型超幾何積分 / Zonal多項式 / アイゼンシュタイン級数 / 退化主系列表現 / イギリス:ドイツ:中国:ベトナム / 岩澤加群 / ゼータ関数 / 同変玉河数予想 / 同変岩澤主予想 / Stark予想 / 非正則素数 / 高速計算アルゴリズム / 代数本の類数 / 素数分布 / 正則・非正則素数 / 代数体の類数 / ベルヌイ数 / カナダ:中国:アメリカ / イギリス:アメリカ:韓国 / イギリス / ドイツ:イギリス / Fitting イデアル / Selmer 群 / Tate Shafarevich群 / 有理点 / p進L関数 / Stickelberger元 / Euler系 / ドイツ:韓国 / Kolyvagin系 Less
  • Research Projects

    (9 results)
  • Research Products

    (29 results)
  • Co-Researchers

    (22 People)
  •  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
  •  Positively ramified extensions and elliptic unitsPrincipal Investigator

    • Principal Investigator
      HACHIMORI Yoshitaka
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
  •  New development of Iwasawa theory and its applications

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  A study of Bernoulli numbers and the distribution of irregular primes

    • Principal Investigator
      AGOH Takashi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
  •  Iwasawa theory for anti-cyclotomic extensions and for positivelyramified extensionsPrincipal Investigator

    • Principal Investigator
      八森 祥隆
    • Project Period (FY)
      2008 – 2009
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
  •  楕円曲線とガロア表現に対する反円分的および非可換拡大の岩澤理論の研究Principal Investigator

    • Principal Investigator
      八森 祥隆
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Young Scientists (Start-up)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
      Keio University
  •  Study of modular forms and arithmefic variefiesStudy of modular forms and

    • Principal Investigator
      HAMAHTA Yoshiori
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
  •  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
  •  Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic forms

    • Principal Investigator
      MIYAZAKI Takuya
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University

All 2018 2016 2015 2011 2010 2009 2005 Other

All Journal Article Presentation

  • [Journal Article] Iwasawaλ-invariants and congruence of Galois representa-tions2011

    • Author(s)
      Y. Hachimori
    • Journal Title

      J. of Ramanujan Math. Soc.

      Volume: Vol.26, no.2 Pages: 203-217

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Journal Article] Iwasawa lambda-invariants and congruence of Galois representations2011

    • Author(s)
      Yoshitaka Hachimori
    • Journal Title

      Journal of the Ramanujan Math.Society

      Volume: 26-2 Pages: 203-217

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340012
  • [Journal Article] p-進L関数の岩澤による構成について2011

    • Author(s)
      八森祥隆
    • Journal Title

      第9回北陸数論研究集会報告集

      Pages: 18-35

    • Data Source
      KAKENHI-PROJECT-21540026
  • [Journal Article] Iwasawa lambda-invariants and congruence of Galois representations2011

    • Author(s)
      Yoshitaka Hachimori
    • Journal Title

      Journal of the Ramanujan Math. Society

      Volume: Vol.26-2 Pages: 203-217

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340012
  • [Journal Article] Euler characteristics of fine Selmer groups2010

    • Author(s)
      Y. Hachimori
    • Journal Title

      J. of Ramanujan Math. Soc.

      Volume: Vol.25, no.3 Pages: 285-293

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Journal Article] Euler characteristics of fine Selmer groups2010

    • Author(s)
      Yoshitaka Hachimori
    • Journal Title

      J. Ramanujan Math. Society

      Volume: Vol.25 Pages: 285-293

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340012
  • [Journal Article] Euler characteristics of fine Selmer groups2010

    • Author(s)
      Yoshitaka Hachimori
    • Journal Title

      J.Ramanujan Math.Society

      Volume: 25 Pages: 285-293

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340012
  • [Journal Article] Notes on non-commutative Iwasawa theory2010

    • Author(s)
      Y. Hachimori and T. Ochiai
    • Journal Title

      Asian J. of Math.

      Volume: Vol.14, no.1 Pages: 11-18

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Journal Article] On the failure of pseudo-nullity of Iwasawa modules, J2005

    • Author(s)
      Yoshitaka Hachimori and Romyar Sharifi
    • Journal Title

      Algebraic Geometry 14

      Pages: 567-591

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340010
  • [Journal Article] Euler characteristics of Fine Selmer groups

    • Author(s)
      Yoshitaka Hachimori
    • Journal Title

      Journal of the Ramanujan Mathematical Society (掲載予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Journal Article] Notes on non-commutative Iwasawa Theory

    • Author(s)
      Yoshitaka Hachimori, Tadashi Ochiai
    • Journal Title

      Asian Journal of Mathematics (掲載予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Presentation] Functional equations and positively ramified extensions2018

    • Author(s)
      八森祥隆
    • Organizer
      Low dimensional topology and number theory X
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] ポジティブ分岐拡大の理論における関数等式について2016

    • Author(s)
      八森祥隆
    • Organizer
      東京理科大学理工学部談話会
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] On the theory of positively ramified extensions2016

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      Number Theory and Geometry Seminars
    • Place of Presentation
      Nottingham (United Kingdom)
    • Year and Date
      2016-01-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] Functional Equations in the theory of positively ramified extensions2016

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      Number Theory Seminar
    • Place of Presentation
      Cambridge (United Kingdom)
    • Year and Date
      2016-02-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] A note on the theory of positively ramified extensions2015

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'
    • Place of Presentation
      Heidelberg (Germany)
    • Year and Date
      2015-12-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247002
  • [Presentation] λ-invariants and congruence of Galois representa-tions2011

    • Author(s)
      Y. Hachimori, Iwasawa
    • Organizer
      日韓整数論セミナー2011
    • Place of Presentation
      名古屋大学(名古屋市)
    • Year and Date
      2011-11-09
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] 岩澤によるskew symmetric pairingの構成について2011

    • Author(s)
      八森祥隆
    • Organizer
      整数論セミナー
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2011-07-08
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] p-進L関数の岩澤による構成について2010

    • Author(s)
      八森祥隆
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2010-12-26
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] Congruence of Galois representations and anticyclotomic Z_p-extensions2010

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      School of Mathematics Seminar
    • Place of Presentation
      Tata Institute (インド共和国)
    • Year and Date
      2010-03-15
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Presentation] Congruence of Galois representations and anticyclotomic Z_p-extensions2010

    • Author(s)
      Y. Hachimori
    • Organizer
      School of Mathematics Seminar
    • Place of Presentation
      Tata Institute(インド)
    • Year and Date
      2010-03-15
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] Euler Characteristics of Fine Selmer Groups2010

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      2010Korea-Japan Number Theory
    • Place of Presentation
      ソウル大学(韓国)
    • Year and Date
      2010-01-23
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Presentation] Euler characteristics of Fine Selmer groups2010

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      2010 Korea-Japan Number Theory
    • Place of Presentation
      ソウル大学(韓国)
    • Year and Date
      2010-01-23
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Presentation] 非可換岩澤理論の紹介と岩澤代数の性質について2010

    • Author(s)
      八森祥隆
    • Organizer
      信州大学理学部数理・自然情報科学科セミナー
    • Place of Presentation
      信州大学(松本市)
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] Euler characteristics of fine Selmer groups2010

    • Author(s)
      Y. Hachimori
    • Organizer
      2010 Korea-Japan Number Theory Seminar
    • Place of Presentation
      Seoul(韓国)
    • Year and Date
      2010-01-23
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] Euler characteristics of fine Selmer groups2009

    • Author(s)
      Y. Hachimori
    • Organizer
      NAG Seminar
    • Place of Presentation
      Isaac Newton Institute for Mathematical Sciences(イギリス)
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-21540026
  • [Presentation] Euler characteristics of Fine Selmer groups2009

    • Author(s)
      Yoshitaka Hachimori
    • Organizer
      NAG Seminar
    • Place of Presentation
      ケンブリッジ大学Isaac Newton Institute for Mathematical Sciences
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-20740025
  • [Presentation] ポジティブ分岐拡大の岩澤理論について

    • Author(s)
      八森祥隆
    • Organizer
      岩澤理論セミナー
    • Place of Presentation
      慶応義塾大学理工学部
    • Data Source
      KAKENHI-PROJECT-24540028
  • [Presentation] ある制限付分岐拡大について

    • Author(s)
      八森祥隆
    • Organizer
      学習院大学土曜セミナー
    • Place of Presentation
      学習院大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540028
  • 1.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  MATSUNO Kazuo (40332936)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  OTA Katsuhiro (40213722)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  BANNAI Kenichi (90343201)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  藤井 俊 (20386618)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KOBAYASHI Shinichi (80362226)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  AGOH Takashi (60112893)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  SHIOKAWA Iekata (00015835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  AOKI Miho (10381451)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  落合 理 (90372606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  加藤 和也 (90111450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  MIURA Takashi (60631934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  KOBAYASHI Takao (90178319)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  TANAKA Ryuichi (10112898)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  ODA Yoshiaki (90325043)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  深谷 太香子 (20365464)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  HAMAHTA Yoshiori (90260645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  HOSOO Toshio (30130339)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  AOKI Hiroki (10333189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  GOTO Takeshi (20366438)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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