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Takahashi Hiroki  高橋 浩樹

… Alternative Names

TAKAHASHI Hiroki  高橋 浩樹

高橋 浩樹  タカハシ ヒロキ

SUMIDA Hiroki  隅田 浩樹

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Researcher Number 90291476
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-3928-9481
Affiliation (Current) 2025: 徳島大学, 大学院社会産業理工学研究部(理工学域), 教授
Affiliation (based on the past Project Information) *help 2017 – 2025: 徳島大学, 大学院社会産業理工学研究部(理工学域), 教授
2016: 徳島大学, 大学院理工学研究部, 教授
2013 – 2015: 徳島大学, ソシオテクノサイエンス研究部, 教授
2012: 広島大学, 理学(系)研究科(研究院), 准教授
2012: 広島大学, 理学研究科, 准教授 … More
2009 – 2011: Hiroshima University, 大学院・理学研究科, 准教授
2007: 徳島大学, 大学院・ソシオテクノサイエンス研究部, 准教授
2006: Tokushima University, Graduate School of Enginnering, Associate Professor, 大学院ソシオテクノサイエンス研究部, 助教授
2006: 徳島大学, 大学院・ソシオテクノサイエンス研究部, 助教授
2005: 徳島大学, 工学部, 助教授
2005: 徳島大学, 理学部, 助教授
1997 – 2004: 広島大学, 総合科学部, 助手
2001: 横浜市立大学, 総合理学研究科, 教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Algebra
Keywords
Principal Investigator
イデアル類群 / 円分体 / Greenberg予想 / 円単数 / 岩澤加群 / 岩澤不変量 / 一般Greenberg予想 / Kummer-Vandiver予想 / Vandiver予想 / 特殊元 … More / ガウス和 / 岩澤多項式 / カップ積 / K群 / 単数群 / 単数 / K-群 / Eisensteinイデアル / p進L関数 / Greenberg 予想 / 円文体 / イデアル類郡 / L関数 / 不分岐拡大 / 総実代数体 / イテアル類群 … More
Except Principal Investigator
正規整数底 / Stickelberger ideal / normal integral basis / ideal class group / 単項化定理 / Kummer拡大 / イデアル類群 / 射影モデル / K3曲面 / ジョンソン準同形 / 数論的基本群 / 数論トポロジー / Kummer duality / descent / p-整数環 / p-adic L-function / cyclotomic Z_p-extension / 整巾基底 / Greenberg予想 / アーベル体 / 円分Z_p拡大 / 岩澤多項式 / Galvis descent / 単項化 / P進L関数 / p拡大 / 円分Z / K3 surface / 4次曲面 / 自己同型群 / 自己同型 / 格子 / 計算機アルゴリズム / ザリスキ・ファンカンペンの定理 / ザリスキペア / 有理2重点 / 単純K3特異点 / ザリスキ・ファンカンペン / 分岐被覆 / 2次剰余符号 / 単有理性 / フロベニウス固有値 / 超特異性 / 格子理論 / 基本群 / 平面6次曲線 / 超特異K3曲面 / 6次曲線 / 超越格子 / ネロン・セヴェリ格子 / Hilbert-Speiser number field / Stickelberger / Hilbert-Speiser / 虚2次体 / 正規底 / 円分岩澤理論 / 円分体 / ideal類群 / 整数環 / Hilbert-Speiserの定理 Less
  • Research Projects

    (14 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (26 People)
  •  数論的特殊元による多変数岩澤加群の解析Principal Investigator

    • Principal Investigator
      高橋 浩樹
    • Project Period (FY)
      2025 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokushima
  •  数論トポロジーと種々のモノドロミー不変量の新たな展開

    • Principal Investigator
      中村 博昭
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Osaka University
  •  Analysis of multivariable Iwasawa modules by using special elements of K-groupsPrincipal Investigator

    • Principal Investigator
      SUMIDA-TAKAHASHI Hiroki
    • Project Period (FY)
      2017 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokushima
  •  Analysis of the structures of Iwasawa modules by arithmetic special elementsPrincipal Investigator

    • Principal Investigator
      TAKAHASHI HIROKI
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokushima
  •  Computational study of K3 surfaces

    • Principal Investigator
      Shimada Ichiro
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Research on the structure of Iwasawa modules for p-adic representationsPrincipal Investigator

    • Principal Investigator
      TAKAHASHI Hiroki
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  K3 surfaces and related algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Hilbert-Speiser number fields and Stickelberger ideals

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University
  •  特殊元によるp-進ガロア表現に対する岩澤加群の研究Principal Investigator

    • Principal Investigator
      高橋 浩樹 (隅田 浩樹)
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokushima
      Hiroshima University
  •  Study of the structure of integer rings from the view point of cyclotomic Iwasawa theory

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ibaraki University
      Yokohama City University
  •  円分体の特殊元を用いたイデアル類群の解析Principal Investigator

    • Principal Investigator
      隅田 浩樹
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Study of Cyclotomic Iwasawa Theory.

    • Principal Investigator
      ICHIMURA Humio
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  代数体の不分岐拡大とL関数の特殊値についてPrincipal Investigator

    • Principal Investigator
      隅田 浩樹
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  総実代数体の岩澤不変量についてPrincipal Investigator

    • Principal Investigator
      隅田 浩樹
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University

All 2022 2021 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] On the l-part of the Class Groups of Imaginary Cyclic Fields of Conductor p and Degree 2l^n2022

    • Author(s)
      Hiroki Sumida-Takahashi, Naoki Furuya and Kodai Kitano
    • Journal Title

      Journal of Mathematics, Tokushima University

      Volume: 56 Pages: 1-10

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Journal Article] A Generalized Problem Associated to the Kummer-Vandiver Conjecture2022

    • Author(s)
      Sumida-Takahashi Hiroki
    • Journal Title

      Arnold Mathematical Journal

      Volume: - Issue: 3 Pages: 381-391

    • DOI

      10.1007/s40598-022-00220-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Journal Article] On the class groups of certain imaginary cyclic fields of 2-power degree2022

    • Author(s)
      ICHIMURA Humio、SUMIDA-TAKAHASHI Hiroki
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 74 Issue: 3 Pages: 945-972

    • DOI

      10.2969/jmsj/86438643

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Journal Article] On the Class Group of an Imaginary Cyclic Field of Conductor 8p and 2-power Degree2021

    • Author(s)
      ICHIMURA Humio、SUMIDA-TAKAHASHI Hiroki
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 44 Issue: -1

    • DOI

      10.3836/tjm/1502179326

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Journal Article] Normal integral basis of an unramified quadratic extension over a cyclotomic Z_2-extension2016

    • Author(s)
      Humio Ichimura and Hiroki Sumida-Takahashi
    • Journal Title

      Journal de Theorie des Nombres de Bordeaux

      Volume: 28 Issue: 2 Pages: 325-345

    • DOI

      10.5802/jtnb.942

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Journal Article] On the 2-adic Iwasawa lambda invariants of the p-cyclotomic fields and their quadratic twists2014

    • Author(s)
      Humio Ichimura, Shoichi Nakajima and Hiroki Sumida-Takahashi
    • Journal Title

      International Journal of Number Theory

      Volume: 10 Issue: 02 Pages: 283-296

    • DOI

      10.1142/s1793042113500929

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Journal Article] On the Iwasawa lambda invariant of an imaginary abelian field of conductor 3p^{n+1}2013

    • Author(s)
      Humio Ichimura, Shoichi Nakajima, Hiroki Sumida-Takahashi
    • Journal Title

      Journal of Number Theory

      Volume: 133 Issue: 2 Pages: 787-801

    • DOI

      10.1016/j.jnt.2012.08.022

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Journal Article] On the Iwasawa lambda invariant of an imaginary abelian field of conductor 3p^n+12013

    • Author(s)
      H. Ichimura, S. Nakajima, H. Sumida-Takahashi
    • Journal Title

      Journal of Number Theory

      Volume: 133 Pages: 787-801

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Journal Article] Motivic zeta functions in additive monoidal categories2012

    • Author(s)
      Ken-taro Kimura, Shun-ichi Kumura, and Nobuyoshi Takahashi
    • Journal Title

      Journal of K-Theory

      Volume: 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Nonstandard point counting for algebraic varieties2012

    • Author(s)
      Nobuyoshi Takahashi
    • Journal Title

      Communications in Algebra

      Volume: 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Descending chain condition for stringy invariants. Higher dimensional algebraic geometry2011

    • Author(s)
      Nobuyoshi Takahashi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B24 Pages: 165-178

    • NAID

      110008429992

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Primitivity of sublattices generated by classes of curves on an algebraic surface.2010

    • Author(s)
      Ichiro Shimada, Nobuyoshi Takahashi
    • Journal Title

      Comment.Math.Univ.St.Pauli

      Volume: 59 Pages: 77-95

    • NAID

      110007887251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Primitivity of sublattices generated by classes of curves on an algebraic surface.2010

    • Author(s)
      I. Shimada, N. Takahashi
    • Journal Title

      Comment.Math.Univ.St.Pauli 59

      Pages: 77-95

    • NAID

      110007887251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Primitivity of sublattices generated by classes of curves on an algebraic surface2010

    • Author(s)
      Ichiro Shimada and Nobuyoshi Takahashi
    • Journal Title

      Comment. Math. Univ. St. Pauli

      Volume: 59no.2 Pages: 77-95

    • NAID

      110007887251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] On Hilbert-Speiser type imaginary quadratic fields2009

    • Author(s)
      市村文男、高橋浩樹
    • Journal Title

      Acta Arithmetica vol.136

      Pages: 385-389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540005
  • [Journal Article] On Hilbert-Speisertype imaginary quadratic fields2009

    • Author(s)
      Humio Ichimura and Hiroki Sumida-Takahashi
    • Journal Title

      Acta Arith

      Volume: 136no.4 Pages: 385-389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] On Hilbert-Speiser type imaginary quadratic fields2009

    • Author(s)
      H. Ichimura, H. Sumida-Takahashi
    • Journal Title

      Acta Arithmetica

      Volume: 136 Pages: 385-38

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Journal Article] On Hilbert-Speiser type imaginary quadratic fields2009

    • Author(s)
      Humio Ichimura, Hiroki Sumida-Takahashi
    • Journal Title

      Acta Arithmetica vol. 136

      Pages: 385-389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540005
  • [Journal Article] On Hilbert-Speiser type imaginary quadratic fields2009

    • Author(s)
      Humio Ichimura, Hiroki Sumida-Takahashi
    • Journal Title

      Acta Arithmetica 136

      Pages: 385-389

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Journal Article] Computation of the p-part of the ideal class group of certain real abelian fields2007

    • Author(s)
      Sumida, Hiroki
    • Journal Title

      Mathematics of Computation vol.76

      Pages: 1056-1071

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540033
  • [Journal Article] Computation of the p-part of the ideal class group of certain real abelian fields2007

    • Author(s)
      隅田 浩樹
    • Journal Title

      Mathematics of Computation 76

      Pages: 1059-1071

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540033
  • [Journal Article] Imaginary quadratic fields satisfying the Hilbert-Speiser condition for a small prime p2007

    • Author(s)
      市村文男、高橋浩樹
    • Journal Title

      Acta Arithmetica vol.127

      Pages: 179-191

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540005
  • [Journal Article] Computation of the p-part of the ideal class group of certain abelian fields2007

    • Author(s)
      Hiroki Sumida-Takahashi
    • Journal Title

      Mathematics of Computation 76

      Pages: 1059-1071

    • Data Source
      KAKENHI-PROJECT-16740019
  • [Journal Article] Stickelberger ideals of conductor p and their application2006

    • Author(s)
      市村 文男, 隅田 浩樹
    • Journal Title

      Journal of the Mathematical Society of Japan 58

      Pages: 885-902

    • NAID

      10018381175

    • Data Source
      KAKENHI-PROJECT-16540033
  • [Journal Article] The Iwasawa invariants and the higher K-groups associated to real quadratic fields2005

    • Author(s)
      Hiroki Sumida-Takahashi
    • Journal Title

      Experimental Mathematics 14

      Pages: 307-316

    • Data Source
      KAKENHI-PROJECT-16740019
  • [Journal Article] The Iwasawa invariants and the higher K-groups associated to real quadratic fields2005

    • Author(s)
      隅田 浩樹
    • Journal Title

      Experimental Mathematics 14

      Pages: 307-316

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540033
  • [Journal Article] The Iwasawa invariants and the higher K-groups associated to real quadratic fields2005

    • Author(s)
      Sumida, Hiroki
    • Journal Title

      Experimental Mathematics vol.14

      Pages: 307-316

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540033
  • [Journal Article] Computation of the Iwasawa invariants of certain real abelian fields2004

    • Author(s)
      Hiroki Sumida-Takahashi
    • Journal Title

      Journal of Number Theory 105

      Pages: 235-250

    • Data Source
      KAKENHI-PROJECT-16740019
  • [Journal Article] Stickelberger ideals of conductor p and their application

    • Author(s)
      Humio Ichimura, Hiroki Sumida-Takahashi
    • Journal Title

      Journal of the Mathematical Society of Japan 掲載予定

    • Data Source
      KAKENHI-PROJECT-16740019
  • [Journal Article] Computation of the p-part of the ideal class group of certain real abelian fields

    • Author(s)
      Hiroki Sumida-Takahashi
    • Journal Title

      Mathematics of Computation 掲載予定

    • Data Source
      KAKENHI-PROJECT-16740019
  • [Presentation] ある種の 2 ベキ次巡回拡大体のイデアル類群について2021

    • Author(s)
      高橋浩樹
    • Organizer
      早稲田整数論セミナー
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Presentation] ゼータ値と円分体2018

    • Author(s)
      高橋浩樹
    • Organizer
      岐阜数理科学セミナー
    • Data Source
      KAKENHI-PROJECT-17K05176
  • [Presentation] 円分体の一般Greenberg予想とK群の特殊元2017

    • Author(s)
      高橋浩樹
    • Organizer
      九州代数的整数論2017
    • Place of Presentation
      九州大学(福岡県福岡市)
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Presentation] 円分体の特殊元と岩澤不変量2015

    • Author(s)
      高橋浩樹
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      金沢大学(石川県,金沢市)
    • Year and Date
      2015-12-26
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Presentation] 代数体の岩澤不変量について2014

    • Author(s)
      高橋浩樹
    • Organizer
      愛媛大学代数セミナー
    • Place of Presentation
      愛媛大学(愛媛県,松山市)
    • Year and Date
      2014-05-26
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Presentation] 円分体の一般Greenberg予想に関するある計算法2014

    • Author(s)
      高橋浩樹
    • Organizer
      大阪大学整数論・保型形式セミナー
    • Place of Presentation
      大阪大学(大阪府,豊中市)
    • Year and Date
      2014-05-23
    • Data Source
      KAKENHI-PROJECT-25400013
  • [Presentation] The Iwasawaλ_l-invariants in cyclotomic Z_p-extensions2013

    • Author(s)
      高橋浩樹
    • Organizer
      早稲田整数論研究集会
    • Place of Presentation
      東京
    • Year and Date
      2013-03-16
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Presentation] 円分体の岩澤不変量の観察2012

    • Author(s)
      高橋浩樹
    • Organizer
      九州代数的整数論2012
    • Place of Presentation
      福岡市(招待講演)
    • Year and Date
      2012-02-23
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Presentation] 円分体の岩澤不変量の観察2012

    • Author(s)
      高橋浩樹
    • Organizer
      九州代数的整数論2012
    • Place of Presentation
      福岡
    • Year and Date
      2012-03-23
    • Data Source
      KAKENHI-PROJECT-21540018
  • [Presentation] Descending chain condition for stringy invariants2009

    • Author(s)
      高橋宣能
    • Organizer
      高次元代数幾何の周辺
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2009-12-16
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Presentation] 相対Gromov-Witten不変量2009

    • Author(s)
      高橋宣能
    • Organizer
      代数幾何学サマースクール2009
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2009-07-28
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Presentation] The Iwasawa λ_l invariants in cyclotomic Z_p-extensions

    • Author(s)
      高橋浩樹
    • Organizer
      2013早稲田整数論研究集会
    • Place of Presentation
      早稲田大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540018
  • 1.  KAGAWA Hirotada (00180224)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  ICHIMURA Humio (00203109)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 4 results
  • 3.  MATSUMOTO Makoto (70231602)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  AIBA Akira (90202457)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 3 results
  • 6.  KIMURA Shun-ichi (10284150)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 7.  ISHII Akira (10252420)
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  • 10.  ITO Hiroyuki (60232469)
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  • 11.  KOYA Yoshihiro (50254230)
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