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

構成的ガロア理論と数論的基本群における計算代数手法の揺籃Principal InvestigatorOngoing
- 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
ガロア群と基本亜群の相互連関から生じる数論的不変量の研究Principal InvestigatorOngoing
- 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
- Int'l Joint Research / Peer Reviewed
- 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
- Int'l Joint Research / Peer Reviewed
- 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
- Acknowledgement Compliant / Open Access / Int'l Joint Research / Peer Reviewed
- 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
- Open Access / Int'l Joint Research / Peer Reviewed
- 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
- 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
- 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
- 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] 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
- Int'l Joint Research / 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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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51. TSUJI Takeshi (40252530)

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# of Collaborated Products: 0 results
52. KOIKE Masao (20022733)

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# of Collaborated Products: 0 results
53. YAMAKI Hiroyoshi (60028199)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. HASHIMOTO Ki-ichiro (90143370)

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# of Collaborated Products: 0 results
55. FURUTA Mikio (50181459)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. AKITA Toshiyuki (30279252)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. TSUCHIHASHI Hiroyasu (00146119)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. NAKANO Shin (40180327)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. DOI Yukiko (50015765)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. MIYAZAKI Mitsuhiro (90219767)

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61. ASADA Mamoru (30192462)

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62. MIKI Hiroo (90107368)

# of Collaborated Projects: 1 results

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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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# of Collaborated Products: 0 results
76. 斎藤盛彦 (10186968)

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# of Collaborated Products: 0 results
77. 岡崎龍太郎 (20268113)

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78. 森田康夫 (20011653)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. 北岡良之 (40022686)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. 伊山修 (70347532)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NAKAMURA Hiroaki 中村 博昭

中村 博明 ナカムラ ヒロアキ

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構成的ガロア理論と数論的基本群における計算代数手法の揺籃Principal InvestigatorOngoing

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ガロア群と基本亜群の相互連関から生じる数論的不変量の研究Principal InvestigatorOngoing

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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