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MORISHITA Masanori  森下 昌紀

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Researcher Number 40242515
Other IDs
External Links
Affiliation (Current) 2023: 九州大学, 数理学研究院, 教授
Affiliation (based on the past Project Information) *help 2017 – 2022: 九州大学, 数理学研究院, 教授
2013 – 2016: 九州大学, 数理(科)学研究科(研究院), 教授
2011 – 2012: 九州大学, 数理学研究院, 教授
2009 – 2011: 九州大学, 大学院・数理学研究院, 教授
2008 – 2009: Kyushu University, 数理学研究院, 教授 … More
2007: Kyushu University, 大学院・教理学研究院, 教授
2007: Kyushu University, Graduate School of Mathematical Sciences, Professor
2006: Kyushu University, Faculty of Mathematics, Professor, 大学院数理学研究院, 教授
2005 – 2006: 九州大学, 数理学研究院, 教授
2005: 九州大学, 大学院・数理学研究院, 教授
2004: Kanazawa Univ., Dept.of Math., Associate Prof., 大学院・自然科学研究科, 助教授
2004: 金沢大学, 自然科学研究科, 助教授
1996 – 2003: 金沢大学, 理学部, 助教授
1995: 金沢大学, 理学部, 助手
1994 – 1995: 金沢大学, 自然科学研究科, 助手
1993: 金沢大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / 解析学 / Algebra / Geometry / Geometry / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
結び目 / 素数 / 3次元多様体 / 代数体 / 代数群 / 数論的位相幾何学 / 玉河数 / 等質空間 / number field / 3-manifold … More / アデ-ル幾何 / 結び目と素数 / 場の理論 / 絡み目群 / prime / knot / 類数 / タイヒミューラー・モジュラー群 / ジョーンズ表現 / 写像類群 / Jones表現 / アデール / 素粒子 / ガロアコホモロジー / ガロア群 / ミルナー不変量 / レダイ記号 / Prime / Knot / Galois群 / 基本群 / Galois group / link group / Knots / Primes / 整数環 / 素イデアル / 数論的場の理論 … More
Except Principal Investigator
正則自己同型群 / 保型形式 / 値分布論 / automorphic form / 端末特異点 / 新谷関数 / Weil表現 / テータ関数 / Shintani function / Weil representation / theta function / 幾何種数 / 一意性定理 / 代数群 / セグレ積 / 正則曲線の一意性定理 / 単純K3特異点 / 複素線型微分方程式 / アデール幾何学 / トポロジー / 離散群 / 多様体 / オートマトン / 数論的基本群 / アデール幾何 / 孤立特異点 / 有理特異点 / 多様体のホモトピー同値 / 保型L関数 / ミルナー数 / ブローイングアップ / Milnor number / 経路積分 / 径路積分 / 相対論的ハミルトニアン / ワイル量子化 / 自己共役作用素 / 多体問題 / 特異点の幾何種数 / 標準因子 / Gorenstein環 / 極小画面 / 小林双曲型 / 球バンドル / 終着特異点 / 代数群の整数論 / 2次元正規特異点 / 末端的特異点 / ブロ-イングアップ / 玉河数 / ホモトピー分類 / 双曲型多様体 / 特異点解消操作 / トロッターの積公式 / 等質空間 / 一意性集合 / 双曲的超曲面 / 双正則写像 / 一般複素楕円体 / 絡み目群 / ミルーナ不変量 / CR不変計量 / 有理点の分布 / Galois表現 / moduli, Serreの保型性予想 / 頂切離散附値環 / 分岐 / Galiois表現 / moduli / Serreの保型性予想 / 分岐理論 / ガロア表現 / 有限性 / 幾何学 / 双曲幾何 / 多様性 / アルティン群 / 増大関数 / 組みひも群 / 数論的ガロア理論 / 基本群とガロア群 / 数論的位相幾何学 / 国際情報交換 / 整数論 / 代数学 / ガロア群 / 国際協力 / ポリログ関数 / 岩澤理論 / グロタンディーク・タイヒミュラー理論 / 自己同型群 / CR不変量 / 代数的退化定理 / 一意性問題 / ラングの予想 / ポアンカレー予想 / 正則曲線の一意的定理 / ア-デル幾何 / CR-不変計量 / value distribution theory / uniqueness theorems / algebraic group / adele geometry / isolated singularity / automorphsm group / CR-invariant / 正規次数付環 / 重みつきブローイングアップ / Reid予想の反例 / Segre積 / 特異点の算術種数 / 対数的微分形式 / ネバンリンナ理論 / 因子的ブロ-イングアップ / アデ-ル幾何学 / the normal graded rings / rational singularities / weighted blowing-ups / conjecture of M.Reid / the Segre product / terminal singularities / the arithemetic genus / the special log forms / L関数 / テ-タ関数 / 保型表現 / L function / データ関数 / automorphic L function / 初等多様体 / ホモトピー同値な多様体 / 平均曲率一定曲面 / 調和逆平均曲率曲面 / 超曲面孤立特異点 / 素数と結び目 / ボンネ曲面 / 結び目と素数 / 特異点 / ミルナー不変量 / primary manifolds / homotopy equivalent manifolds / constant mean curvature surfaces / harmonic inverse mean curvature surfaces / hypersurface isolated singularities / Pn'mes and Knots / automorphic forms / ブローイング・アップ / 重複度 / 値分布理論 / 因子類群 / 巡回被覆 / 特異点除去 / 有理2重点 / blowing up / multiplicity / isoloted singularity / rational singulerity / value distrilution theony / terminal singulauty / divisor class group / automorphic L-function / 埋め込み問題 / 不分岐拡大 / 類数 / 類体塔 / ガロアの逆問題 / embedding problem / unramified extension / class number / class field tower / inverse Galois problem / 因子収縮 / 特異点解消 / terminal singularity / divisorial contraction / resolution of singularity / 双曲構造 / 変形 / 錐多様体 / 微分方程式 / Fuchs型微分方程式 / 確定特異点 / 不確定特異点 / 合流操作 / manifold / cone-structure / hyperbolic structure / deformation / differential equation / discrete group / automaton / 数論トポロジー / ジョンソン準同形 Less
  • Research Projects

    (32 results)
  • Research Products

    (83 results)
  • Co-Researchers

    (50 People)
  •  数論的位相幾何学に基づく数論的場の量子論の構築と絶対幾何学との融合Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyushu University
  •  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
  •  数論的位相幾何学の深化と新展開Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoids

    • Principal Investigator
      Nakamura Hiroaki
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Development of arithmetic topology and arithmetic quantum field theoryPrincipal Investigator

    • Principal Investigator
      Morishita Masanori
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Development and Applications of Arithmetic TopologyPrincipal Investigator

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Deformation spaces of discrete groups and hyperbolic structures

    • Principal Investigator
      FUJII Michihiko
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Study of the moduli of Galois representations

    • Principal Investigator
      TAGUCHI Yuichiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Developing Arithmetic TopologyPrincipal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Research on the deformation space of hyperbolic structures on manifolds

    • Principal Investigator
      FUJI Michihiko
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Explicit studies on singularities which appear on 3-dimensional algebraic varieties

    • Principal Investigator
      HAYAKAWA Takayuki
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Stady of Arithmcfc TopologyPrincipal Investigator

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  Study of analogies between algebraic number theory and 3-dimensional topology.Principal Investigator

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Study on automorphic forms, automorphic L-functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Inverse Galois Problems with Restricted Ramifications

    • Principal Investigator
      NOMURA Akito
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KANAZAWA UNIVERSITY
  •  Analogies between primes and knots, number theory and 3-dim. TopologyPrincipal Investigator

    • Principal Investigator
      MORISHITA M
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersections

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Study on automorphic forms, automorphic L functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Arithmetic of algebraic groups and their homogeneous spacesPrincipal Investigator

    • Principal Investigator
      MORISHITA Masanon
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      kanazawa University
  •  Homotopy theoretical research of manifolds

    • Principal Investigator
      ISHIMOTO Hiroyasu
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  値分布論の総合的研究

    • Principal Investigator
      藤本 坦孝
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  代数群の整数論Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Geometric Study of Complex Analysis

    • Principal Investigator
      FUJIMOTO Hirotaka
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  Algebro-geometric studies of rational singularities and related singularities by blowing-ups

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Automorphic forms and L functions on algebraic groups

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  複素解析学及び関連諸分野の値分布論的研究

    • Principal Investigator
      藤本 坦孝
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  数論的多様体の基本群の整数論Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  2次元及び3次元解析空間の特異点の可換環論

    • Principal Investigator
      泊 昌孝
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  ガロア拡大の整教論Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  複素解析空間の特異点の代数幾何

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  非アーベル拡大の整数論Principal Investigator

    • Principal Investigator
      森下 昌紀
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  相対論的量子力学における経路積分とその関連する諸問題の研究

    • Principal Investigator
      一瀬 孝
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University

All 2019 2018 2017 2016 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2002 Other

All Journal Article Presentation Book

  • [Book] Knots and Primes-An Introduction to Arithmetic Topology2012

    • Author(s)
      M. Morishita
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Book] Knots and Primes-An Introduction to Arithmetic Topology2012

    • Author(s)
      Masanori Morishita
    • Total Pages
      200
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Book] 日本の現代数学-新しい展開をめざして-,結び目と素数-数論的位相幾何学2010

    • Author(s)
      森下昌紀
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Book] 結び目と素数, 現代数学シリーズ2009

    • Author(s)
      森下昌紀
    • Total Pages
      15
    • Publisher
      シュプリンガー・ジャパン
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Book] 結び目と素数2009

    • Author(s)
      森下 昌紀
    • Total Pages
      202
    • Publisher
      シュプリンガー・ジャパン
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Book] 結び目と素数2009

    • Author(s)
      森下昌紀
    • Publisher
      シュプリンガーシャパン
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Book] あきらめないで, 数学の道しるべ, 研究者の道とは何か, 数理科学2008

    • Author(s)
      森下昌紀
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Book] 結び目と素数-数論的位相幾何学-, 日本の現代数学

    • Author(s)
      森下昌紀
    • Publisher
      数学書房(出版予定)
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Book] Knots and Primes-An Introduction to Arithmetic Topology

    • Author(s)
      M.Morishita
    • Total Pages
      200
    • Publisher
      Springer(to appear)
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] Arithmetic topology in Ihara theory II - Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols2019

    • Author(s)
      Hirano Hikaru、Morishita Masanori
    • Journal Title

      Journal of Number Thoery

      Volume: 198 Pages: 211-238

    • DOI

      10.1016/j.jnt.2018.10.010

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06336, KAKENHI-PROJECT-17H02837
  • [Journal Article] On certain L-functions for deformations of knot group representations2018

    • Author(s)
      Kitayama Takahiro、Morishita Masanori、Tange Ryoto、Terashima Yuji
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 370 Pages: 3171-3195

    • DOI

      10.1090/tran/7037

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05243, KAKENHI-PROJECT-16H06336, KAKENHI-PROJECT-17H02837, KAKENHI-PROJECT-16J03575, KAKENHI-PROJECT-18K13404
  • [Journal Article] On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field2018

    • Author(s)
      Amano Fumiya、Mizusawa Yasushi、Morishita Masanori
    • Journal Title

      Research Number Theory

      Volume: 4 Pages: 1-29

    • DOI

      10.1007/s40993-018-0100-7

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06336, KAKENHI-PROJECT-17H02837, KAKENHI-PROJECT-26800010
  • [Journal Article] 平方剰余と結び目2016

    • Author(s)
      森下昌紀
    • Journal Title

      数学セミナー

      Volume: 55 Pages: 22-27

    • Data Source
      KAKENHI-PROJECT-24340005
  • [Journal Article] Arithmetic Milnor invariants and multiple power residue symbols in number fields - a precis2016

    • Author(s)
      Fumiya Amano, Masanori Morishita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Journal Article] Redei's triple symbols and modular forms2013

    • Author(s)
      F. Amano, H. Kodani, M. Morishita, T. Sakamoto, T. Yoshida, T. Ogasawara
    • Journal Title

      Tokyo J. Math.

      Volume: 36 Pages: 405-427

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Journal Article] Nilpotent class field theory for manifolds2013

    • Author(s)
      J. Kim, H. Kotani, M. Morishita
    • Journal Title

      Proc. Japan Academy

      Volume: 89 Pages: 15-19

    • NAID

      40019605933

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Journal Article] Johnson maps in non-Abelian Iwasawa theory2012

    • Author(s)
      M. Morishita
    • Journal Title

      Oberwolfach Report

    • Data Source
      KAKENHI-PROJECT-24340005
  • [Journal Article] Analogies between knots and primes, 3-manifolds and number rings2010

    • Author(s)
      M. Morishita
    • Journal Title

      Sugaku Expositions

    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] The universal deformation and the associated homological invariants for hyperbolic knots2010

    • Author(s)
      M. Morishita
    • Journal Title

      Oberwolfach report

    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] Chern-Simons Variation and Deligne cohomology2009

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Contemborary Matb. AMS (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Chern-Simons variation and Deligne cohomology, to appear in : Spectral Analysis in Geometry and Number Theory on Prof2009

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Toshikazu Sunada' s 60th birthday, Contemporary Math

      Pages: 127-134

    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] 数論と結び目日変量,数理科学2009

    • Author(s)
      森下昌紀
    • Journal Title

      「数学と物理に広がる不変量-量子トポロジーとその周辺」

      Pages: 36-41

    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] Chern-Simons variation and Deligne cohomology, in : Spectral Analysis in Geometry and Number Theory on Prof2009

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Toshikazu Sunada's 60th birthday, Contemporary Math., AMS

      Pages: 127-134

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Geometry of polgsymbols2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Math. Res. Leffers 15

      Pages: 95-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Milnor invariants and l-class groups, in : Geometry and Dynamics of Groups and Spaces2008

    • Author(s)
      M. Morishita
    • Journal Title

      In Memory of Alexander Reznikov, Progress in Math. 265(Birkhauser)

      Pages: 583-603

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Geometry of polysymbols2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Mathematical Research Letters

      Pages: 95-116

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Chern-Simons variation and Delrgne cohomology2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      preprint (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Milnor invariounts and l-class groups2007

    • Author(s)
      M. Morishita
    • Journal Title

      Progress in Mathemotics 265

      Pages: 669-683

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Arithmehc topology after Hide theory2007

    • Author(s)
      Morishita, Terachima
    • Journal Title

      Proc. of Intelligenu of Low. Dim. Topology (to appear)(掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Analogies between knots and primes, 3-manifolds and number rings2007

    • Author(s)
      Masanori Morishita
    • Journal Title

      Sugaku Expositions, AMS (to appear.)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Anclogies between Knots and primes, 3-manifolds and number rings2007

    • Author(s)
      M.Morishita
    • Journal Title

      Sugaku Expositions (to appear)(掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Arithmetic topology after Hida theory, in : Intelligence of Low Dimensional Topology 20062007

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      World Scientific Publishing Co. in the Knots and Everything Book Series

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Arithmetic topology after Hide theory2007

    • Author(s)
      Morishita, Terashima
    • Journal Title

      Proc.of Intelligence of Low Dim. Topology (to appear.)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Pro-p link groups and p-homology groups2006

    • Author(s)
      Hillman, J., Matei, D., Morishita, M.
    • Journal Title

      Contemp. Math. 416

      Pages: 121-136

    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] On the Alexander stratification in the deformation space of Galois characters2006

    • Author(s)
      Masanori Morishita
    • Journal Title

      Kyushu J. Math. 60・2

      Pages: 405-414

    • NAID

      130000063148

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] On the Alexander stratification in the deformation Space of Galois characters2006

    • Author(s)
      M.Morishita
    • Journal Title

      Kynshu Journal of Mathemafies 60, 2

      Pages: 405-414

    • NAID

      130000063148

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Pro-p link groups and p-homology groups2006

    • Author(s)
      J.Hillman, D.Matei, M.Morishita
    • Journal Title

      Contemp. Math. 416

      Pages: 121-136

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] On the Alexander stratification in the deformation space of Galois characters2006

    • Author(s)
      Masanori Morishita
    • Journal Title

      Kyushu Journal of Mathematics 60・2

      Pages: 405-414

    • NAID

      130000063148

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Pro-p ling groups and p-homology groups2006

    • Author(s)
      Hillman, Matei, Morishita
    • Journal Title

      Contemporary Mathematics,AMS 416

      Pages: 121-136

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] On the Alexander stratification in the deformation space of Galois characters2006

    • Author(s)
      M.Morishita
    • Journal Title

      Kyushu Journal of Math. Vol 60

      Pages: 405-414

    • NAID

      130000063148

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] 素数と結び目の類似について2006

    • Author(s)
      森下 昌紀
    • Journal Title

      数学 58・1

      Pages: 40-63

    • NAID

      10017554728

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] On the Alexander stratification in the deformation space of Galois characters2006

    • Author(s)
      M.Morishita
    • Journal Title

      Kyushu J., Math. 60・2

      Pages: 405-414

    • NAID

      130000063148

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] On the Alexander stratification in the deformation space of Galois characters2006

    • Author(s)
      Morishita, Masanori
    • Journal Title

      Kyushu J. Math. 60.2

      Pages: 405-414

    • NAID

      130000063148

    • Data Source
      KAKENHI-PROJECT-17540019
  • [Journal Article] Pro-p link groups and p-homology groups2006

    • Author(s)
      J.Hillman, D.Matei, M.Morishita
    • Journal Title

      Contemporary Mathematics, AMS Vol 416

      Pages: 121-136

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] On analogies between primes and knots2005

    • Author(s)
      M.Morishita
    • Journal Title

      (Submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] Geometry and Number Theory2005

    • Author(s)
      M.Morishita
    • Journal Title

      Surikagaku (Science-Sya) (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] Milnor ihvariants and l-class groups2005

    • Author(s)
      M.Morishita
    • Journal Title

      (Submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] 幾何学と数論2005

    • Author(s)
      森下昌紀
    • Journal Title

      数理科学 506(未定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] Primes and knots.2004

    • Author(s)
      M.Morishita
    • Journal Title

      Sugaku-no-Tanoshimi. (Nippon-Hyoron-Sha)

      Pages: 125-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] Milnor invariants and Massey products for prime numbers2004

    • Author(s)
      M.Morishita
    • Journal Title

      Compos.Math. 140, no.1

      Pages: 69-83

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Milnor invariants and Massey products for prime numbers2004

    • Author(s)
      M.Morishita
    • Journal Title

      Compos.Math. 140

      Pages: 69-83

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] On capitulation problem for 3-manifolds2004

    • Author(s)
      M.Morishita
    • Journal Title

      Galois theory and modular forms, Dev.Math.11, (Kluwer Acad.Publ.)

      Pages: 305-313

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] 素数と結び目2004

    • Author(s)
      森下昌紀
    • Journal Title

      数学のたのしみ(季刊) 2

      Pages: 125-144

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] 素数と結び目2004

    • Author(s)
      森下 昌紀
    • Journal Title

      数学のたのしみ 2004秋号

      Pages: 125-144

    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] On capitulation problem for 3-manifolds,2004

    • Author(s)
      M.Morishita
    • Journal Title

      "Galois theory and modular forms",Dev.Math.(Kluwer Acad.Publ., Boston, MA) 11

      Pages: 305-313

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] On certain analogies between knots and primes2002

    • Author(s)
      M.Morishita
    • Journal Title

      J.Reine Angew.Math. 550

      Pages: 141-167

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Analogies between knots and primes, 3-manifolds and number fields.

    • Author(s)
      M.Morishita
    • Journal Title

      Sugaku Expositions, AMS (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Milnor invariants and l-class groups

    • Author(s)
      M.Morishita
    • Journal Title

      印刷中(Submitted)

    • Data Source
      KAKENHI-PROJECT-15540017
  • [Journal Article] Pro-p link groups and p-homology groups

    • Author(s)
      Hillman, D.Matui, M.Morishita
    • Journal Title

      Contemporary Math., AMS (To appeal)

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Arithmetic topology after Hida theory.

    • Author(s)
      M.Morishita, Y.Terashima
    • Journal Title

      Proc of Intelligence of Low Dim Topology (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] On analogies between knots and primes

    • Author(s)
      M. Morishita
    • Journal Title

      3-manifolds and number rings, to appear in Sugaku Expositions, AMS

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] 数論的位相幾何学と数論的場の理論

    • Author(s)
      森下昌紀
    • Journal Title

      代数学ミンポジウム報告集

      Volume: (to appear)(掲載確定)

    • Data Source
      KAKENHI-PROJECT-21340010
  • [Journal Article] 素数と結び目の類似について

    • Author(s)
      森下 昌紀
    • Journal Title

      数学 印刷中(Submitted)

    • NAID

      10017554728

    • Data Source
      KAKENHI-PROJECT-15540017
  • [Presentation] On 3-dimensional foliated dynamical systems and Hilbert reciprocity law2019

    • Author(s)
      Masanori Morishita
    • Organizer
      Arithmetic and Analysis on the occasion of Deninger's 60th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] Arithmetic topology in Ihara theory: Milnor invariants, Heisenberg covers and triple power residue symbols2019

    • Author(s)
      Masanori Morishita
    • Organizer
      Profinite monodromy, Galois representations, and Complex functions in honor of Professor Yasutaka Ihara's 80th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law2019

    • Author(s)
      Masanori Morishita
    • Organizer
      JAMI conference, Johns Hopkins University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] On 3-dimensional foliated dynamical systems and Hilbert reciprocity law2018

    • Author(s)
      Masanori Morishita
    • Organizer
      Arithmetic and Analysis in honor of Deninger's 60th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds2017

    • Author(s)
      Masanori Morishita
    • Organizer
      Workshop on Arithmetic Chern-Simons Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] Milnor invariants in Ihara theory and triple power residue symbols2017

    • Author(s)
      Masanori Morishita
    • Organizer
      Low dimensional topology and number theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02837
  • [Presentation] Arithmetic Milnor invariants and multiple power residue symbols2014

    • Author(s)
      Masanori Morishita
    • Organizer
      Algebraic number theory and related topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-12-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Johnson maps in non-Abelian Iwasawa theory2013

    • Author(s)
      M. Morishita
    • Organizer
      整数論研究集会
    • Place of Presentation
      早稲田大学理工学部(招待講演)
    • Year and Date
      2013-03-17
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Milnor invariants for primes and Maass wave forms2013

    • Author(s)
      M. Morishita
    • Organizer
      Quantum Topology and Hyperbolic Geometry
    • Place of Presentation
      Nha Trang, Vietnam
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Johnson maps in non-Abelian Iwasawa theory2013

    • Author(s)
      M. Morishita
    • Organizer
      Conference on number theory and related topics in honor of Takashi Ono
    • Place of Presentation
      Johns Hopkins University, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Johnson-Kawazumi maps in non-Abelian Iwasawa theory I, II2013

    • Author(s)
      M. Morishita
    • Organizer
      Workshop: Johnson homomorphisms
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] 結び目理論と整数論 -- 数論的位相幾何学2013

    • Author(s)
      森下昌紀
    • Organizer
      ENCOUNTERwithMATHEMATICS
    • Place of Presentation
      中央大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] On Johnson maps in non-Abelian Iwasawa theory2012

    • Author(s)
      M. Morishita
    • Organizer
      Low dimensional topology and number theory
    • Place of Presentation
      Oberwolfach, Germany(招待講演)
    • Year and Date
      2012-08-30
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Knots and Primes - An Introduction to Anthmetic Topology2012

    • Author(s)
      M. Morishita
    • Organizer
      Japan-Taiwan conference on number theory
    • Place of Presentation
      National center for theoretical science, Taiwan(招待講演)
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] Redei記号とMass波動形式2012

    • Author(s)
      森下昌紀
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      金沢サテライトプラザ(招待講演)
    • Year and Date
      2012-12-26
    • Data Source
      KAKENHI-PROJECT-24340005
  • [Presentation] 数論的位相幾何学と数論的場の理論2011

    • Author(s)
      森下昌紀
    • Organizer
      代数学ミンポジウム
    • Place of Presentation
      岡山大(招待講演)
    • Year and Date
      2011-08-06
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Presentation] Hyperbolic geometry and Hida-Matur theory2010

    • Author(s)
      M.Morishita
    • Organizer
      KAIST Colloguim
    • Place of Presentation
      KAIST(韓国)
    • Data Source
      KAKENHI-PROJECT-21340010
  • [Presentation] 結び目理論と数論2009

    • Author(s)
      森下 昌紀
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-27
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Presentation] Chern-Simons variation and Hida-Matur thery2007

    • Author(s)
      M. Morishita
    • Organizer
      Low dimasimd fopology & number theory
    • Place of Presentation
      Canada, Banff
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Presentation] Universal deformation of a knot group representation and associated Alexander invariants(in preparation)

    • Author(s)
      M. Morishita, Y. Terashima
    • Data Source
      KAKENHI-PROJECT-19540038
  • 1.  HAYAKAWA Takayuki (20198823)
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  • 2.  SUGANO Takashi (30183841)
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  • 3.  TOMARI Masataka (60183878)
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  • 4.  FUJIMOTO Hirotaka (60023595)
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  • 5.  IWASE Junichi (70183746)
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  • 6.  KODAMA Akio (20111320)
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  • 7.  TAGUCHI Yuichiro (90231399)
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  • 8.  ISHIMOTO Hiroyasu (90019472)
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  兵藤 史武 (80707737)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  玉川 安騎男 (00243105)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  星 明考 (50434262)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  伊吹山 知義 (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  高橋 浩樹 (90291476)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  小笠原 健 (90709776)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  坂内 健一
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  MIZUSAWA Yasushi
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 50.  北山 貴裕
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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