MORISHITA Masanori 森下昌紀

Researcher Number	40242515
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Affiliation (Current)	2020: 九州大学, 数理学研究院, 教授
Affiliation (based on the past Project Information) *help	2017 – 2020: 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
Review Section/Research Field	Principal Investigator Algebra / Algebra 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

数論トポロジーと種々のモノドロミー不変量の新たな展開Ongoing
- 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 InvestigatorOngoing
- 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] 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] 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 Theory
  
  Volume: 198 Pages: 211-238
- DOI
  10.1016/j.jnt.2018.10.010
- Peer Reviewed / Open Access
- 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] 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] 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] 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 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] 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] 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] 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] Geometry of polysymbols2008
- Author(s)
  M. Morishita, Y. Terashima
- Journal Title
  
  Mathematical Research Letters
  
  Pages: 95-116
- 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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)
  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
  
  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 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] 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] 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)
  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
  
  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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] Milnor invariants and l-class groups
- Author(s)
  M.Morishita
- Journal Title
  
  印刷中(Submitted)
- Data Source
  KAKENHI-PROJECT-15540017
[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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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)

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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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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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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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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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数論トポロジーと種々のモノドロミー不変量の新たな展開Ongoing

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数論的位相幾何学の深化と新展開Principal InvestigatorOngoing

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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