NAKAMURA Hiroaki 中村博昭

… Alternative Names

Researcher Number	60217883
Other IDs
External Links
Affiliation (Current)	2019: 大阪大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2018: 大阪大学, 理学研究科, 教授 2013 – 2016: 大阪大学, 理学(系)研究科(研究院), 教授 2012: 岡山大学, 自然科学研究科, 教授 2005 – 2011: OKAYAMA UNIVERSITY, Graduate School of Natural Science, Department of Mathematics, Professor, 大学院・自然科学研究科, 教授 2005 – 2006: 岡山大学, 大学院自然科学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / Geometry
Keywords	Principal Investigator 外ガロア表現 / 写像類群 / ガロア表現 / ガロア群 / 楕円曲線 / 遠アーベル幾何 / 代数学 / モジュライ空間 / 組紐群 / 基本群 … More Except Principal Investigator モジュライ空間 / 対称群 / シューア函数 / 基本群 / ゼータ関数 / 代数多様体 / 極小モデル / 写像類群 / リーマン面 / アフィンリー環 / ガロア群 / 整数論 / 3次体 / 岩澤理論 / ゼ-タ関数 / moduli space / コホモロジー / 半安定退化 / 対数構造 / P進Hodge理論 / 3次元多様体 / 絶対ガロア群 / モノドロミー / ジョンソン準同型 / ジョンソン準同形 / 楕円曲面 / Galois被覆 / Alexander多項式 / Zariski pair / Mordell-Weil群 / 岩沢理論 / number theory / Grothendieck-Teichmuller群 / Galois group / TNT / mapping class group / Riemann surface / generic polynomial / 楕円曲線 / Mordell曲線 / Schur functions / Symmetric groups / 類体論 / 保型形式 / l進層 / P進ホッジ理論 / モチ-フ / 玉河数 / fundamental group / braid group / Teichmiiller group / mopping class group / 代数的基本群 / リーマン多様体 / スペクトル理論 / 正標数 / 数論的スキーム / 3次元 / 標準モデル / 正規交差 / 多重サイン関数 / 絶対テンソル積 / Hasse-Weil L関数 / 局所と因子 / 周期積分 / 安定還元定理 / tame symbol / 双有理変換 / 因子収縮写像 / カラビヤウ多様体 / 末端特異点 / ブラウアー・シューア函数 / 混合基底 / 単因子 / Q函数 / アフィンィー環 / 岩堀・ヘッケ環 / カルタン行列 / ヘッケ環 / ヤング図形 / 分解曲線 / 楕円曲面の切断 / アーベル・ヤコビ写像 / 二面体被覆 / section / conic-line arrangement / splitting curve / モノドロミ-群 / インデックス / 表現 / 代数曲線 / リ-マン面 / 代表曲面 / 組み糸群 / モノドロミ-表現 / GaIois group / Monodromy group / Index / ヘッケ指標 / ガロア表現 / 数論的代数幾何 / 形式群 / 局所定数 / algebraic varieties / semistable reduction / minimal model / zeta function / log rithmic structure / Hecke character / Galois representation / 藤田予想 / 固定点自由化定理 / 対数的標準特異点 / カラビ・ヤウ / ミラー対称性 / 小平次元 / 数値的同値 / 豊富因子の錘体 / 可動因子 / 射影多様体 / 因子 / 固定点 / 標準特異点 / 有理特異点 / 安定曲線 / Calabi-Yau / higher dimensional algebraic varieties / numerical geometry / divisors / intersection numbers / cones / Fujita conjectures / Mirror synmetriy / 超平面配置 / 超幾何積分 / 局所系コホモロジー / 鏡映群 / コクセタ-群 / hyperplane arrangement / hypergeometric integral / local system cohomology / reflection group / 射影直線マイナス3点 / ベータ関数 / ガンマ関数 / 安定微分環 / 円分体の整数論 / 射影直線マイナス3点の / 円分体のアーベル拡大 / Soule元 / pro-p基本群 / Fundamental group / The projective line minus 3 points / Grothendieck-Teichmuller group / Adelic beta function / Hyperadelic gamma function / The stable derivation algebra / Arithmetic of cyclotomic fields / コンピュータ / アルゴリズム / ソフト / データ / ネットワーク / メイリングリスト / computer / algorithm / software / database / network / mailing list / トレリ群 / リーマン面の族 / Torelli group / family of Riemann surfaces / monodromy / ガロアの逆問題 / 二面体拡大 / 生成的多項式族 / ネター問題 / 算術的三角群 / 超幾何多項式 / Greenberg予想 / 三面体拡大 / ハセの問題 / 二面体群 / l進多重対数函数 / Dutta重複度 / 素数グラフ / モンスター単純群 / Scholz予想 / ダイヘドラル拡大 / 2次体 / 類数問題 / 近藤予想 / 組紐群 / グロタンディーク・タイヒミュラー群 / INVERSE PROBLEM OF GALOIS / DIHEDRAL EXTENSIONS / GENERIC FAMILY OF POLYNOMIALS / NOETHER PROBLEM / SPACE OF MODULI / ARITHMETIC TRIANGULAR GROUPS / HYPERGEOMETRIC POLYNOMIALS / GREENBERG CONJECTURE / テイトシャファレビッチ群 / スーパーシンギュラー還元 / テイトーシャファレビッチ群 / 岩澤不変量 / 岩澤主予想 / ティトーシャファレビッチ群 / スーパーシンギュラーリダクション / Iwasawa theory / elliptic curve / Tate-Shafarevich group / supersingular reduction / Floerホモトピー型 / 体積予想 / 非可換幾何 / 葉層曲面束 / 面積保存微分同相 / Seiberg-Witten理論 / 森田Mumford類 / Grothendieck-Teichmullerモジュラー群 / Seiberg-witten理論 / 葉層曲面バンドル / 面積保存微分同相群 / 超楕円写像類群 / Mumford-Morita-Miller類 / ゲージ理論 / シンプレクティック群 / 4次元多様体 / tautological代数 / Floer homotopy type / Grothendieck-teichmuller group / 3-dimensional manifold / Volume conjecture / non-commutitire geometry / versal被覆 / Zariski k-plet / 超特異K3曲面 / 有理2重点 / Zariski Κ-plet / 超特異κ3曲面 / Groebner基底 / Galois cover / versal cover / fundahnental group / cubic fields / Zariski κ-plet / super singular K3 surfaces / rational double points / Mordell curves / 3次生成的多項式 / Mordell-Weil rank / Miranda-Perssonの問題 / 3次巡回体 / 生成多項式 / Hilbert's Th.90 / 3次twist / Fermat3次曲線 / Cubic Field / Mordell Curve / Elliptic Curve / Cubic Generic Polynomial / Mordell-Weil Group / Mordell-Weil Rank / Elliptic Surface / Miranda-Persson's Problem / 可換環論 / Cohen-Macaulay加群 / 変形と退化 / 可換環 / 直既約加群 / 退化 / Gorenstein次元 / 加群 / 導来圏 / G次元 / Cohen-Macaulay / commutative rings / Cohen-Macaulay modules / deformation and degeneration / 円分体 / cyclotomic field / Iwasawa Theory / ヒェルルヒー / affine Lie algebras / リリトン方程式 / Affine Lie algebras Less

Cultivation of computational approaches in constructive Galois theory and arithmetic fundamental groupsPrincipal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoidsPrincipal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Computational Algebraic approach to anabelian geometryPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Okayama University
Branched covers and topology of open algebraic surfaces
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Arithmetic and Moduli Spaces around Galois-Teichmueller towerPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Okayama University
From modular representations of the symmetric groups to nonlinear differential equations
- Principal Investigator
  
  YAMADA Hirofumi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
From modular representations of the symmetric groups to integrable systems
- Principal Investigator
  
  YAMADA Hirofumi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論Principal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Combinatorics and Representation Theory of Nonlinear Differential Equations
- Principal Investigator
  
  YAMADA Hiro-fumi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
モジュライ空間の算術幾何に対する種種のグラフ複合体の関与の研究Principal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Study of moduli of indecomposable modules and degeneration of modules
- Principal Investigator
  
  YOSHINO Yuji
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Properties of mapping class groups related to Galois representations
- Principal Investigator
  
  ASADA Mamoru
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto Institute of Technology
Combinatorial Representation Theory which Center of Schur Functions
- Principal Investigator
  
  YAMADA Hirofumi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Geometry of branched Galois covers and number theory
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Galois groups and fundamental groups in anabelian geometryPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  OKAYAMA UNIVERSITY
Arithmetic of Cubic Fields and Elliptic Curves associated to them
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Mapping Class Group of Surfaces and Geometry of Moduli Spaces
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Arithmetic Study of Interactions of Galois groups and anabelian geometryPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Hiroyuki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
THE INVERSE PROBLEM OF GALOIS AND ITS APPLICATION TO NUMBER THEORY
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Grant-in-Aid for Scientific Research(C)(2)
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
絶対ガロア群とトポロジー
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Data Computation and Software Development in Number Theory by Computers
- Principal Investigator
  
  NAKAMULA Ken
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
STRUCTURE OF THE MAPPING CLASS GROUP AND GEOMETRY OF THE MODULI SPACE OF RIEMANN SURFACES
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  University of Tokyo
Exterior Galois representations in fundamental groups and associated arithmetic phenomenaPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Study of Hyperplane Arrangements
- Principal Investigator
  
  TAKEDA Yuichiro, 寺尾宏明
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
  Hokkaido University
Galois groups and fundamental groups
- Principal Investigator
  
  IHARA Yasutaka
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
外ガロア表現の数論的研究Principal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research of higher dinendional algebraic varaieties
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  the University of Tokyo
代数多様体の数論の研究
- Principal Investigator
  
  斎藤毅
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
高次元代数多様体の研究
- Principal Investigator
  
  川又雄二郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
外ガロア表現の数論の研究Principal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
高次元代数多様体の分類理論
- Principal Investigator
  
  川又雄二郎
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
ゼータ関数の数論幾何学的研究
- Principal Investigator
  
  黒川信重
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
代数多様体の基本群から生ずる数体の絶対ガロア群の表現の研究Principal Investigator
- Principal Investigator
  
  中村博昭
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
モジュラー多様体の数論的及び代数幾何的研究
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
ゼータ関数の研究
- Principal Investigator
  
  KUROKAWA Nobushige
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  The University of Tokyo
Number theory of algebraic varieties
- Principal Investigator
  
  KAWAMATA Yujiro, 加藤和也
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tokyo
代数多様体の整数論の研究
- Principal Investigator
  
  加藤和也
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  The University of Tokyo
Comparative Study of Various Fundamental Groups and Their Structure in Arithmetic and Topology
- Principal Investigator
  
  KAWAMATA Yujiro
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tokyo

[Book] Galois-Teichmüller theory and Arithmetic Geometry2012
- Author(s)
  H.Nakamura, F.Pop, L.Schneps, A.Tamagawa
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Polylogarithmic analogue of the Coleman-Ihara formula, II2017
- Author(s)
  H.Nakamura, K.Sakugawa, Z.Wojtkowiak
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B64
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Journal Article] On mono-nodal trees and genus one dessins of Pakovich-Zapponi type2017
- Author(s)
  Nakamura, Hiroaki
- Journal Title
  
  Tokyo J. Math.
  
  Volume: 39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K13745
[Journal Article] Moving frames and Eisenstein invariants2017
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2015
- Open Access
- Data Source
  KAKENHI-PROJECT-26287006
[Journal Article] Polylogarithmic analogue of the Coleman-Ihara formula, II2017
- Author(s)
  Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzislaw
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B64
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13745
[Journal Article] Polylogarithmic analogue of the Coleman-Ihara formula, I2017
- Author(s)
  H.Nakamura, K.Sakugawa, Z.Wojtkowiak
- Journal Title
  
  Osaka J. Math.
  
  Volume: 54
- NAID
  120006309613
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Journal Article] Polylogarithmic analogue of the Coleman-Ihara formula, I2017
- Author(s)
  Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzislaw
- Journal Title
  
  Osaka J. Math.
  
  Volume: 54
- NAID
  120006309613
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13745
[Journal Article] On mono-nodal trees and genus one dessins of Pakovich-Zapponi type2017
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Tokyo J. Math.
  
  Volume: 39 Pages: 783-795
- DOI
  10.3836/tjm/1475723085
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287006, KAKENHI-PROJECT-16K13745
[Journal Article] On hyperbolic area of the moduli of theta-acute triangles2013
- Author(s)
  N.Kanesaka, H.Nakamura
- Journal Title
  
  Math. J. Okayama Univ.
  
  Volume: 55
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] On hyperbolic area of the moduli of θ-acute triangles2013
- Author(s)
  N.Kanesaka, H.Nakamura
- Volume
  55
- Pages
  191-200
- NAID
  120005197752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves2013
- Author(s)
  H.Nakamura
- Journal Title
  
  Publ. RIMS, Kyoto University
  
  Volume: 49
- DOI
  10.4171/prims/110
- NAID
  110009623779
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009, KAKENHI-PROJECT-24654006
[Journal Article] On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves2013
- Author(s)
  H.Nakamura
- Volume
  49
- NAID
  110009623779
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Some congruence properties of Eisenstein invariants associated to elliptic curves2012
- Author(s)
  H.Nakamura
- Journal Title
  
  Advanced Studies in Pure Math
  
  Volume: 63
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] On Galois rigidity of fundamental groups of algebraic curves2012
- Author(s)
  H.Nakamura
- Journal Title
  
  London Math. Soc. Lecture Note Series
  
  Volume: 393
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] On Galois rigidity of fundamental groups of algebraic curves2012
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  London Math.Soc.Lecture Note Series
  
  Volume: 393 Pages: 56-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Tensor and homotopy criteria for functional equations of l-adic and classical iterated integrals2012
- Author(s)
  Hiroaki Nakamura, Zdzislaw Wojtkowiak
- Journal Title
  
  London Math.Soc.Lecture Note Series
  
  Volume: 393 Pages: 258-310
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] On Galois rigidity of fundamental groups of algebraic curves2012
- Author(s)
  H.Nakamura
- Journal Title
  
  Nonabelian Fundamental Groups and Iwasawa Theory
  
  Volume: 393 Pages: 56-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Tensor and homotopy criteria for functional equations of l-adic and classical iterated integrals2012
- Author(s)
  H.Nakamura
- Journal Title
  
  London Math. Soc. Lecture Note Series
  
  Volume: 393
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Tensor and homotopy criteria for functional equations of l-adic and classical iterated integrals2012
- Author(s)
  H.Nakamura, Z.Wojtkowiak
- Journal Title
  
  Nonabelian Fundamental Groups and Iwasawa Theory
  
  Volume: 393 Pages: 258-310
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Some congruence properties of Eisenstein invariants associated to elliptic curves2012
- Author(s)
  H.Nakamura
- Journal Title
  
  Galois-Teichmueller theory and arithmetic geometry
  
  Volume: 63 Pages: 813-832
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Belyi function on X_0(49)of degree 72010
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Mathematical Journal of Okayama University 52
  
  Pages: 61-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654005
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck- Teichmueller group, III2010
- Author(s)
  H.Nakamura, H.Tsunogai, S.Yasuda
- Journal Title
  
  Journal Inst. Math
  
  Volume: 9 Pages: 431-448
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmueller group, III2010
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Journal Inst. Math. Jussieu 9
  
  Pages: 431-448
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654005
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmueller group, III2010
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Journal Inst. Math. Jussieu 9
  
  Pages: 431-448
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Belyi function on X_0(49) of degree 72010
- Author(s)
  K.Hoshino, H.Nakamura
- Journal Title
  
  The Belyi functions and dessin d'enfants corresponding to the non-normal inclusions of triangle groups
  
  Volume: 52 Pages: 61-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Belyi function on X_0(49)of degree 72010
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Mathematical Journal of Okayama University 52
  
  Pages: 61-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Galois analogue of functional equations of polylogarithms2009
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Oberwolfach Reports 6
  
  Pages: 330-330
- Data Source
  KAKENHI-PROJECT-21340009
[Journal Article] Galois analogue of functional equations of polylogarithms2009
- Author(s)
  Hiroaki Nakamura
- Journal Title
  
  Oberwolfach Reports 6
  
  Pages: 330-330
- Data Source
  KAKENHI-PROJECT-19654005
[Journal Article] Corrigendum: On some IHX-relations on trivalent graphs and symplectic representation theory2007
- Author(s)
  S. Garoufalidis, H. Nakamura
- Journal Title
  
  Mathematical Research Letters 14
  
  Pages: 689-690
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654005
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmueller group, II2006
- Author(s)
  H.Nakamura
- Journal Title
  
  AMS Contemporary Mathematics (発表確約)
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Some classical views on the parameters of the Grothendieck-Teichmueller group2005
- Author(s)
  H.Nakamura
- Journal Title
  
  Progress in Galois Theory Development in Mathematics series(Kluwer Acad. Publ.) 12
  
  Pages: 123-133
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmueller group2004
- Author(s)
  P.Lochak, H.Nakamura, L.Schneps
- Journal Title
  
  Math.J.Okayama University 46
  
  Pages: 39-75
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Some classical views on the parameters of the Grothendieck-Teichmueller group2004
- Author(s)
  H.Nakamura
- Journal Title
  
  "Progress in Galois Theory" Development in Mathematics series, Kluwer Acad. Publ. 12
  
  Pages: 123-133
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Some classical views on the parameters of the Grothendieck-Teichmueller group2004
- Author(s)
  H.Nakamura
- Journal Title
  
  "Progress in Galois Theory" Development in Mathematics series (Kluwer Acad.Publ.) 12
  
  Pages: 123-133
- Data Source
  KAKENHI-PROJECT-15654007
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmuller group2003
- Author(s)
  H.Nakamura, H.Tsunogai
- Journal Title
  
  Forum Math. 15
  
  Pages: 877-892
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Generalized Rademacher functions and some congruence properties2003
- Author(s)
  H.Nakamura
- Journal Title
  
  Galois theory and modular forms' Developments in Mathematics(Kluwer Academic Publishers) 11
  
  Pages: 375-394
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmuller group2003
- Author(s)
  H.Nakamura
- Journal Title
  
  Forum Math. 15
  
  Pages: 877-892
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Generalized Rademacher functions and some congruence properties2003
- Author(s)
  H.Nakamura
- Journal Title
  
  Developments in Mathematics (Galois theory and modular forms)(Kluwer Acad.Publ.) Vol.11
  
  Pages: 375-394
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Some classical views on the parameters of the Grothendieck-Teichmueller group2003
- Author(s)
  H.Nakamura
- Journal Title
  
  Development in Mathematics series (Progress in Galois Theory)(Kluwer Acad.Publ.) Vol.12
  
  Pages: 123-133
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Limits of Galois representations in fundamental groups along maximal degeneration of marked curves II2002
- Author(s)
  H.Nakamura
- Journal Title
  
  Proc. Symp. Pure Math. 70
  
  Pages: 43-78
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] On explicit formulae for l-adic polylogarithms2002
- Author(s)
  H.Nakamura
- Journal Title
  
  Proc. Symp. Pure Math. 70
  
  Pages: 285-294
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] On explicit formulae for l-adic polylogarithmus2002
- Author(s)
  H.Nakamura, Z.Wojtkowiak
- Journal Title
  
  Proc.Symp.Pure Math. 70
  
  Pages: 285-294
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Limits of Galois representations in fundamental groups along maximal degeneration of marked curves II2002
- Author(s)
  H.Nakamura
- Journal Title
  
  Proc.Symp.Pure Math. 70
  
  Pages: 43-78
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340017
[Journal Article] Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmuller group
- Author(s)
  P.Lochak, H.Nakamura, L.Schneps
- Journal Title
  
  Mathematical Journal of Okayama University (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540025
[Journal Article] Harmonic and equianharmonic equations in the Grothendieck-Teichmueller group, II
- Author(s)
  H.Nakamura
- Journal Title
  
  AMS Contemporary Mathematics (発表予定)
- Data Source
  KAKENHI-PROJECT-15654007
[Journal Article] Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmuller group.
- Author(s)
  P.Lochak, H.Nakamura, L.Schneps
- Journal Title
  
  Math.J.Okayama Univ. (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540025
[Presentation] Some aspect of arithmetic of pronite fundamental groups2018
- Author(s)
  Hiroaki Nakamura
- Organizer
  Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] グロタンディーク・タイヒミュラー理論の話題から2018
- Author(s)
  Hiroaki Nakamura
- Organizer
  第６３回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Chebyshev type polynomials with XY-skeletons2017
- Author(s)
  Hiroaki Nakamura
- Organizer
  The 1st Joint Workshop of Nanyang Technological University and Osaka University on Fundamental Science
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Chebyshev type polynomials with XY-skeletons2017
- Author(s)
  Hiroaki Nakamura
- Organizer
  The 1st Joint Workshop of Nanyang Technological University and Osaka University on Fundamental Science
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13745
[Presentation] グロタンディーク・デッサンと周期的連分数2016
- Author(s)
  H.Nakamura
- Organizer
  九州大学数理談話会
- Place of Presentation
  九州大学
- Year and Date
  2016-12-15
- Data Source
  KAKENHI-PROJECT-16K13745
[Presentation] The repere mobile and Eisenstein invariants,2016
- Author(s)
  Hiroaki Nakamura
- Organizer
  Seminaire Arithmetic
- Place of Presentation
  Lille University, France
- Year and Date
  2016-06-16
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] グロタンディーク・デッサンと周期的連分数2016
- Author(s)
  Hiroaki Nakamura
- Organizer
  九州大学数理談話会
- Place of Presentation
  九州大学数理学研究院
- Year and Date
  2016-12-05
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Moving frames and Eisenstein invariants2016
- Author(s)
  Hiroaki Nakamura
- Organizer
  RIMS研究集会「多重ゼータ値の諸相」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-07-11
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] 連分数と楕円曲線をわたる野鳥の森2016
- Author(s)
  中村博昭
- Organizer
  研究集会「Tokyo Journal of Mathematics 筱田記念号刊行に寄せて」
- Place of Presentation
  上智大学
- Year and Date
  2016-03-20
- Invited
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] 副有限 Eisenstein 商をめぐるガロア理論と数論2015
- Author(s)
  中村博昭
- Organizer
  早稲田大学整数論セミナー
- Place of Presentation
  早稲田大学
- Year and Date
  2015-12-18
- Invited
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Eisenstein invariant for once punctured elliptic curves2015
- Author(s)
  Hiroaki Nakamura
- Organizer
  GRT, MZVs and associators
- Place of Presentation
  Les Diablerets, Switzerland
- Year and Date
  2015-08-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] 動く座標系とEisenstein 級数2015
- Author(s)
  中村博昭
- Organizer
  慶應数理談話会
- Place of Presentation
  慶応大学
- Year and Date
  2015-06-20
- Invited
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Topology and arithmetic on the profinite Eisenstein quotient2015
- Author(s)
  Hiroaki Nakamura
- Organizer
  Geometrie, arithmetique et physique : autour des motifs
- Place of Presentation
  Strasbourg, France
- Year and Date
  2015-05-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287006
[Presentation] Some observation in Johnson homomorphisms2013
- Author(s)
  H.Nakamura
- Organizer
  Workshop "Johnson homomorphisms"
- Place of Presentation
  東京大学大学院数理科学研究科
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Some observation in Johnson homomorphisms2013
- Author(s)
  H. Nakamura
- Organizer
  Workshop "Johnson homomorphisms
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-24654006
[Presentation] Arithmetic and topological problems in universal monodromy representation of Galois-Teichmueller groups2013
- Author(s)
  H. Nakamura
- Organizer
  Introductory Workshop "Grothendieck-Teichmueller Groups, Deformation and Operads"
- Place of Presentation
  Cambridge, UK
- Data Source
  KAKENHI-PROJECT-24654006
[Presentation] On arithmetic Dehn-Nielsen mapping2013
- Author(s)
  H. Nakamura
- Organizer
  Number Theory Seminar
- Place of Presentation
  University of Nottingham
- Year and Date
  2013-03-20
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] On some arithmetic monodromy invariant for once punctured torus, Workshop2012
- Author(s)
  H.Nakamura
- Organizer
  Masanori Morishita
- Place of Presentation
  Kyushu University, Fukuoka
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Ascending a tower of Galois-Teichmueller in higher genera2012
- Author(s)
  H.Nakamura
- Organizer
  Seminaire "Arithmetique et Topologie" a Lille
- Place of Presentation
  Laboratoire Paul Painleve , Universite Lille 1
- Year and Date
  2012-11-29
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] An introduction to moduli spaces related to elliptic curves2011
- Author(s)
  中村博昭
- Organizer
  Heilbronn Day : Background Workshop on Multiple Zeta Values, Modular Forms & Elliptic Motives
- Place of Presentation
  Heilbronn Institute for Mathematical Research, University of Bristol(招待講演)
- Year and Date
  2011-05-02
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] An introduction to moduli spaces related to elliptic curves2011
- Author(s)
  H.Nakamura
- Organizer
  Heilbronn Institute for Mathematical Research
- Place of Presentation
  Univ. of Bristol
- Year and Date
  2011-05-02
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] カルダノ・フェラーリと楕円関数論再訪2010
- Author(s)
  中村博昭
- Organizer
  数学系代数分野談話会
- Place of Presentation
  筑波大学
- Year and Date
  2010-06-29
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] On fundamental groups of once punctured elliptic curves2010
- Author(s)
  H.Nakamura
- Organizer
  Seminar "Theorie de Galois et methodes explicites" at Laboratoire Paul Painleve
- Place of Presentation
  Lille University
- Year and Date
  2010-03-23
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] On an elliptic analgue of Ihara's power series2010
- Author(s)
  H.Nakamura
- Organizer
  Workshop "Geometric and differential Galois theory"
- Place of Presentation
  C.I.R.M., Luminy
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Computing functional equations of 1-adic polylogarithms on Galois group2009
- Author(s)
  Hiroaki Nakamura
- Organizer
  Workshop "Anabelian Geometry"
- Place of Presentation
  Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
- Data Source
  KAKENHI-PROJECT-19654005
[Presentation] Computing functional equations of l-adic polylogarithms on Galois group2009
- Author(s)
  H.Nakamura
- Organizer
  Workshop "Anabelian Geometry"
- Place of Presentation
  Issac Newton Institute for Mathematical Sciences, Cambridge UK
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Galois analogue of functional equations of polylogarithms2009
- Author(s)
  H.Nakamura
- Organizer
  Workshop "The Arithmetic of Fields"
- Place of Presentation
  Oberwolfach, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Arithmetic invariants of Eisenstein type arising from fundamental groups of once punctured elliptic curves2009
- Author(s)
  Hiroaki Nakamura
- Organizer
  "Final workshop" of Programme "Non-Abelian Fundamental Groups in Arithmetic Geometry"
- Place of Presentation
  Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Arithmetic invariants of Eisenstein type arising from fundamental groups of once punctured elliptic curves2009
- Author(s)
  H.Nakamura
- Organizer
  "Final workshop" of Programme " Non-Abelian Fundamental Groups in Arithmetic Geometry"
- Place of Presentation
  Isaac Newton Institute for Mathematical Sciences
- Invited
- Data Source
  KAKENHI-PROJECT-21340009
[Presentation] Galois analogue of functional equations of polylogarithms2009
- Author(s)
  Hiroaki Nakamura
- Organizer
  The Arithmetic of Fields
- Place of Presentation
  Oberwolfach数学研究所
- Year and Date
  2009-02-05
- Data Source
  KAKENHI-PROJECT-19654005
[Presentation] Monodromy of elliptic curves and Mordell transformations in Grothendieck-Teichmueller theory
- Author(s)
  Hiroaki Nakamura
- Organizer
  Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives II
- Place of Presentation
  Instituto de Ciencias Mateaticas, Madrid
- Year and Date
  2014-12-01 – 2014-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-24654006
[Presentation] On Grothendieck dessins and elliptic curves
- Author(s)
  Hiroaki Nakamura
- Organizer
  Workshop "Braids and Arithmetic"
- Place of Presentation
  CIRM, Luminy, Marseille
- Year and Date
  2014-10-13 – 2014-10-17
- Invited
- Data Source
  KAKENHI-PROJECT-24654006

1. YOSHINO Yuji (00135302)

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46. HOSHI Yuichiro (50456761)

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47. TERADA Itaru (70180081)

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48. TSUBOI Takashi (40114566)

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49. KATSURA Toshiyuki (40108444)

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50. URABE Tohsuke (70145655)

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51. TSUJI Takeshi (40252530)

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52. KOIKE Masao (20022733)

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53. YAMAKI Hiroyoshi (60028199)

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54. HASHIMOTO Ki-ichiro (90143370)

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55. FURUTA Mikio (50181459)

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56. AKITA Toshiyuki (30279252)

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57. TSUCHIHASHI Hiroyasu (00146119)

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58. NAKANO Shin (40180327)

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59. DOI Yukiko (50015765)

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60. MIYAZAKI Mitsuhiro (90219767)

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61. ASADA Mamoru (30192462)

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62. MIKI Hiroo (90107368)

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63. MAITANI Fumio (10029340)

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64. YAGASAKI Tatsuhiko (40191077)

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65. 寺杣友秀 (50192654)

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66. 市川尚志 (20201923)

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67. 鳥居猛 (30341407)

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68. 松崎克彦 (80222298)

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69. 井原健太郎 (00467523)

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70. 森下昌紀 (40242515)

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71. 兵藤史武 (80707737)

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72. 服部晶夫 (80011469)

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73. 中村郁 (50022687)

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74. 諏訪立雄 (40109418)

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75. 泉屋周一 (80127422)

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76. 斎藤盛彦 (10186968)

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77. 岡崎龍太郎 (20268113)

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78. 森田康夫 (20011653)

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79. 北岡良之 (40022686)

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80. 伊山修 (70347532)

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NAKAMURA Hiroaki 中村 博昭

中村 博明 ナカムラ ヒロアキ

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Cultivation of computational approaches in constructive Galois theory and arithmetic fundamental groupsPrincipal Investigator

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Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoidsPrincipal Investigator

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Computational Algebraic approach to anabelian geometryPrincipal Investigator

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Arithmetic and Moduli Spaces around Galois-Teichmueller towerPrincipal Investigator

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グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論Principal Investigator

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モジュライ空間の算術幾何に対する種種のグラフ複合体の関与の研究Principal Investigator

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NAKAMURA Hiroaki 中村博昭

中村博明ナカムラヒロアキ