MORISHITA Masanori 森下昌紀

Researcher Number	40242515
Other IDs
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Affiliation (Current)	2022: 九州大学, 数理学研究院, 教授
Affiliation (based on the past Project Information) *help	2022: 九州大学, 数理(科)学研究科(研究院), 教授 2017 – 2021: 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 … More
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 / 玉河数 / 等質空間 / 数論的位相幾何学 / number field / 3-manifold … 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 Less

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

[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)

# of Collaborated Projects: 11 results

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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)

# of Collaborated Projects: 7 results

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7. TAGUCHI Yuichiro (90231399)

# of Collaborated Projects: 6 results

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8. ISHIMOTO Hiroyasu (90019472)

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9. KURIHARA Masato (40211221)

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10. FUJII Michihiko (60254231)

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11. TERASHMA Yuji (70361764)

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12. ITO Tatsuro (90015909)

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13. KAWAZUMI Nariya (30214646)

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14. KOHNO Toshitake (80144111)

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15. FUJIOKA Atsushi (30293335)

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16. YAMADA Mieko (70130226)

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17. SAITO Takeshi (70201506)

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18. HIRATA Noriko (90215195)

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19. UE Masaaki (80134443)

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20. Nakamura Hiroaki (60217883)

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21. MURASE Atsushi (40157772)

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22. IWASE J (50293337)

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23. NOMURA Akito (00313700)

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24. 一瀬孝 (20024044)

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25. 高信敏 (40197124)

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26. 角皆宏 (20267412)

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27. 古庄英和 (60377976)

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28. SAITO Kyoji (20012445)

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29. NOGUCHI Junjiro (20033920)

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30. WATANABE Takao (30201198)

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31. YAMAGISHI M (40270996)

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32. FUJISAKI Hiroshi (80304757)

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33. USHIJIMA Akira (50323803)

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34. OCHIAI Hiroyuki (90214163)

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35. MORIMOTO Yoshinori (30115646)

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36. 古田孝臣 (50019452)

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37. 林田和也 (70023588)

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38. 田村博志 (80188440)

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39. 北原晴夫 (60007119)

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40. 中尾慎太郎 (90030783)

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41. 井原健太郎 (00467523)

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48. 坂内健一

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49. MIZUSAWA Yasushi

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50. 北山貴裕

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MORISHITA Masanori 森下 昌紀

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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

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数論的位相幾何学の深化と新展開Principal Investigator

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Development of arithmetic topology and arithmetic quantum field theoryPrincipal Investigator

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Development and Applications of Arithmetic TopologyPrincipal Investigator

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Developing Arithmetic TopologyPrincipal Investigator

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Stady of Arithmcfc TopologyPrincipal Investigator

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Study of analogies between algebraic number theory and 3-dimensional topology.Principal Investigator

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MORISHITA Masanori 森下昌紀