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## Nakamura, Hiroaki

Compute Distance To:
 Author ID: nakamura.hiroaki.1 Published as: Nakamura, Hiroaki; Nakamura, H. External Links: MGP
 Documents Indexed: 54 Publications since 1990, including 3 Books Reviewing Activity: 102 Reviews Biographic References: 1 Publication
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#### Co-Authors

 24 single-authored 6 Wojtkowiak, Zdzisław 4 Schneps, Leila 4 Tsunogai, Hiroshi 3 Takao, Naotake 2 Garoufalidis, Stavros 2 Ihara, Yasutaka 2 Lochak, Pierre 2 Ogawa, Hiroyuki 2 Sakugawa, Kenji 2 Tamagawa, Akio 2 Ueno, Ryoichi 1 Asada, Mamoru 1 Hashimoto, Ki-ichiro 1 Hoshino, Kenji 1 Ichikawa, Takashi 1 Kanesaka, Naomi 1 Matsuno, Kazuo 1 Miyake, Katsuya 1 Mochizuki, Shinichi 1 Oguiso, Keiji 1 Pop, Florian 1 Yasuda, Seidai
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#### Serials

 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Mathematical Sciences. University of Tokyo 3 Mathematical Journal of Okayama University 2 Mathematische Annalen 2 Proceedings of the Japan Academy. Series A 2 Mathematical Research Letters 2 RIMS Kôkyûroku Bessatsu 1 Israel Journal of Mathematics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Sūgaku 1 Forum Mathematicum 1 International Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Journal of the Institute of Mathematics of Jussieu 1 Advanced Studies in Pure Mathematics 1 Developments in Mathematics
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#### Fields

 40 Algebraic geometry (14-XX) 28 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 9 Field theory and polynomials (12-XX) 4 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 $$K$$-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 197 times in 109 Documents Cited by Year
Galois rigidity of pure sphere braid groups and profinite calculus. Zbl 0901.14012
Nakamura, Hiroaki
1994
On graded quotient modules of mapping class groups of surfaces. Zbl 0851.57014
1995
Some stability properties of Teichmüller modular function fields with pro-$$l$$ weight structures. Zbl 0826.14016
Nakamura, Hiroaki; Takao, Naotake; Ueno, Ryoichi
1995
Some finiteness theorems on Galois centralizers in pro-$$l$$ mapping class groups. Zbl 0771.14006
Nakamura, Hiroaki; Tsunogai, Hiroshi
1993
On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups. Zbl 1077.14030
Nakamura, Hiroaki; Schneps, Leila
2000
Coupling of universal monodromy representations of Galois-Teichmüller modular groups. Zbl 0835.14007
Nakamura, Hiroaki
1996
On explicit formulae for $$l$$-adic polylogarithms. Zbl 1191.11022
Nakamura, Hiroaki; Wojtkowiak, Zdzisław
2002
Galois rigidity of the étale fundamental groups of punctured projective lines. Zbl 0702.14024
Nakamura, Hiroaki
1990
Tangential base points and Eisenstein power series. Zbl 0986.14013
Nakamura, Hiroaki
1999
On deformation of maximally degenerate stable marked curves and Oda’s problem. Zbl 0910.14010
Ihara, Yasutaka; Nakamura, Hiroaki
1997
Elementary moduli space of triangles and iterative processes. Zbl 1048.51016
Nakamura, H.; Oguiso, K.
2003
On exterior Galois representations associated with open elliptic curves. Zbl 0914.11035
Nakamura, Hiroaki
1995
On some generating functions for McKay numbers—prime power divisibilities of the hook products of Young diagrams. Zbl 0823.05062
Nakamura, Hiroaki
1994
Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. I. Zbl 1006.12001
Nakamura, Hiroaki
1999
Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. Zbl 1054.14038
Nakamura, Hiroaki; Tsunogai, Hiroshi
2003
Galois representations in the profinite Teichmüller modular groups. Zbl 0911.14014
Nakamura, Hiroaki
1997
On a new version of the Grothendieck-Teichmüller group. Zbl 0904.20029
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
1997
Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmüller group. Zbl 1079.14032
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
2004
Some illustrative examples for anabelian geometry in high dimensions. Zbl 0919.14011
Ihara, Yasutaka; Nakamura, Hiroaki
1997
Galois rigidity of pro-$$l$$ pure braid groups of algebraic curves. Zbl 0927.14008
Nakamura, Hiroaki; Takao, Naotake
1998
Polylogarithmic analogue of the Coleman-Ihara formula. I. Zbl 1415.11088
Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzisław
2017
Galois rigidity of algebraic mappings into some hyperbolic varieties. Zbl 0814.14013
Nakamura, Hiroaki
1993
Tensor and homotopy criteria for functional equations of $$\ell$$-adic and classical iterated integrals. Zbl 1271.11068
Nakamura, Hiroaki; Wojtkowiak, Zdzisław
2012
Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. II. Zbl 1162.14307
Nakamura, Hiroaki
2002
Some $$IHX$$-type relations on trivalent graphs and symplectic representation theory. Zbl 1012.57032
Garoufalidis, Stavros; Nakamura, Hiroaki
1998
On galois automorphisms of the fundamental group of the projective line minus three points. Zbl 0702.14023
Nakamura, Hiroaki
1991
Galois rigidity of profinite fundamental groups. Zbl 0863.12004
Nakamura, Hiroaki
1995
Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. III. Zbl 1203.14033
Nakamura, Hiroaki; Tsunogai, Hiroshi; Yasuda, Seidai
2010
Polylogarithmic analogue of the Coleman-Ihara formula. II. Zbl 1415.11087
Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzisław
2017
A family of geometric operators on triangles with two complex variables. Zbl 1436.51016
Nakamura, Hiroaki; Ogawa, Hiroyuki
2020
The Grothendieck conjecture on the fundamental groups of algebraic curves. Zbl 0943.14014
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi
1998
Rigidity of the arithmetic fundamental group of a punctured projective line. Zbl 0687.14028
Nakamura, Hiroaki
1990
Centralizers of Galois representations in pro-$$\ell$$ pure sphere braid groups. Zbl 0756.14007
Nakamura, Hiroaki
1991
Belyi function on $$X_0(49)$$ of degree $$7$$. Appendix to: “The Belyi functions and dessin d’enfants corresponding to the non-normal inclusions of triangle groups” by K. Hoshino. Zbl 1219.14045
Hoshino, Kenji; Nakamura, Hiroaki
2010
On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves. Zbl 1330.14048
Nakamura, Hiroaki
2013
A family of geometric operators on triangles with two complex variables. Zbl 1436.51016
Nakamura, Hiroaki; Ogawa, Hiroyuki
2020
Polylogarithmic analogue of the Coleman-Ihara formula. I. Zbl 1415.11088
Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzisław
2017
Polylogarithmic analogue of the Coleman-Ihara formula. II. Zbl 1415.11087
Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzisław
2017
On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves. Zbl 1330.14048
Nakamura, Hiroaki
2013
Tensor and homotopy criteria for functional equations of $$\ell$$-adic and classical iterated integrals. Zbl 1271.11068
Nakamura, Hiroaki; Wojtkowiak, Zdzisław
2012
Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. III. Zbl 1203.14033
Nakamura, Hiroaki; Tsunogai, Hiroshi; Yasuda, Seidai
2010
Belyi function on $$X_0(49)$$ of degree $$7$$. Appendix to: “The Belyi functions and dessin d’enfants corresponding to the non-normal inclusions of triangle groups” by K. Hoshino. Zbl 1219.14045
Hoshino, Kenji; Nakamura, Hiroaki
2010
Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmüller group. Zbl 1079.14032
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
2004
Elementary moduli space of triangles and iterative processes. Zbl 1048.51016
Nakamura, H.; Oguiso, K.
2003
Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group. Zbl 1054.14038
Nakamura, Hiroaki; Tsunogai, Hiroshi
2003
On explicit formulae for $$l$$-adic polylogarithms. Zbl 1191.11022
Nakamura, Hiroaki; Wojtkowiak, Zdzisław
2002
Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. II. Zbl 1162.14307
Nakamura, Hiroaki
2002
On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups. Zbl 1077.14030
Nakamura, Hiroaki; Schneps, Leila
2000
Tangential base points and Eisenstein power series. Zbl 0986.14013
Nakamura, Hiroaki
1999
Limits of Galois representations in fundamental groups along maximal degeneration of marked curves. I. Zbl 1006.12001
Nakamura, Hiroaki
1999
Galois rigidity of pro-$$l$$ pure braid groups of algebraic curves. Zbl 0927.14008
Nakamura, Hiroaki; Takao, Naotake
1998
Some $$IHX$$-type relations on trivalent graphs and symplectic representation theory. Zbl 1012.57032
Garoufalidis, Stavros; Nakamura, Hiroaki
1998
The Grothendieck conjecture on the fundamental groups of algebraic curves. Zbl 0943.14014
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi
1998
On deformation of maximally degenerate stable marked curves and Oda’s problem. Zbl 0910.14010
Ihara, Yasutaka; Nakamura, Hiroaki
1997
Galois representations in the profinite Teichmüller modular groups. Zbl 0911.14014
Nakamura, Hiroaki
1997
On a new version of the Grothendieck-Teichmüller group. Zbl 0904.20029
Lochak, Pierre; Nakamura, Hiroaki; Schneps, Leila
1997
Some illustrative examples for anabelian geometry in high dimensions. Zbl 0919.14011
Ihara, Yasutaka; Nakamura, Hiroaki
1997
Coupling of universal monodromy representations of Galois-Teichmüller modular groups. Zbl 0835.14007
Nakamura, Hiroaki
1996
On graded quotient modules of mapping class groups of surfaces. Zbl 0851.57014
1995
Some stability properties of Teichmüller modular function fields with pro-$$l$$ weight structures. Zbl 0826.14016
Nakamura, Hiroaki; Takao, Naotake; Ueno, Ryoichi
1995
On exterior Galois representations associated with open elliptic curves. Zbl 0914.11035
Nakamura, Hiroaki
1995
Galois rigidity of profinite fundamental groups. Zbl 0863.12004
Nakamura, Hiroaki
1995
Galois rigidity of pure sphere braid groups and profinite calculus. Zbl 0901.14012
Nakamura, Hiroaki
1994
On some generating functions for McKay numbers—prime power divisibilities of the hook products of Young diagrams. Zbl 0823.05062
Nakamura, Hiroaki
1994
Some finiteness theorems on Galois centralizers in pro-$$l$$ mapping class groups. Zbl 0771.14006
Nakamura, Hiroaki; Tsunogai, Hiroshi
1993
Galois rigidity of algebraic mappings into some hyperbolic varieties. Zbl 0814.14013
Nakamura, Hiroaki
1993
On galois automorphisms of the fundamental group of the projective line minus three points. Zbl 0702.14023
Nakamura, Hiroaki
1991
Centralizers of Galois representations in pro-$$\ell$$ pure sphere braid groups. Zbl 0756.14007
Nakamura, Hiroaki
1991
Galois rigidity of the étale fundamental groups of punctured projective lines. Zbl 0702.14024
Nakamura, Hiroaki
1990
Rigidity of the arithmetic fundamental group of a punctured projective line. Zbl 0687.14028
Nakamura, Hiroaki
1990
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#### Cited by 95 Authors

 10 Nakamura, Hiroaki 6 Hain, Richard M. 5 Mochizuki, Shinichi 5 Wojtkowiak, Zdzisław 4 Asada, Mamoru 4 Massuyeau, Gwénaël 4 Sakasai, Takuya 4 Schneps, Leila 4 Tsunogai, Hiroshi 3 Collas, Benjamin 3 Sakugawa, Kenji 3 Stix, Jakob 3 Sze, Lawrence 3 Takao, Naotake 3 Watanabe, Tatsunari 2 Brown, Francis C. S. 2 Enriquez, Benjamin 2 Habiro, Kazuo 2 Hoshi, Yuichiro 2 Ichikawa, Takashi 2 Lochak, Pierre 2 Matsumoto, Makoto 2 Morita, Shigeyuki 2 Ogawa, Hiroyuki 2 Pop, Florian 2 Wickelgren, Kirsten G. 1 Armstrong, John 1 Aukerman, David 1 Bellingeri, Paolo 1 Bényi, Árpád 1 Bogomolov, Fedor Alekseivich 1 Borne, Niels 1 Carroll, Emily 1 Chen, William Yun 1 Conant, James 1 Ćurgus, Branko 1 Depweg, Melissa 1 Emsalem, Michel 1 Enomoto, Naoya 1 Ford, Ben 1 Funar, Louis 1 Furusho, Hidekazu 1 Ghosh, Arka Prasanna 1 Harbater, David 1 Hasegawa, Takehiro 1 Hirano, Hikaru 1 Horel, Geoffroy 1 Iijima, Yu 1 Inuzuka, Miyoko 1 Jagadeesan, Ravi 1 Kakde, Mahesh 1 Kane, Ben 1 Kane, Daniel M. 1 Kasahara, Yasushi 1 Klevdal, Christian 1 Kunin, Abraham 1 Kupers, Alexander 1 Lagarias, Jeffrey C. 1 Lee, Chengshyong 1 Li, Wen-Ch’ing Winnie 1 Marin, Ivan 1 Matthes, Nils 1 Maugeais, Sylvain 1 Meilhan, Jean-Baptiste 1 Möller, Martin 1 Morishita, Masanori 1 Nguyen, Xuan Hien 1 Nicollier, Grégoire 1 O’Hara, Jun 1 Olsson, Jorn Borling 1 Olsson, Martin C. 1 Ono, Ken 1 Randal-Williams, Oscar 1 Rastegar, Arash 1 Roitershtein, Alexander 1 Saïdi, Mohamed Réda 1 Satoh, Takao 1 Seki, Shin-ichiro 1 Soudères, Ismael 1 Su, Stephen 1 Suzuki, Masaaki 1 Suzuki, Takafumi 1 Tamagawa, Akio 1 Tschinkel, Yuri 1 Ueno, Ryoichi 1 Vaquié, Michel 1 Wakabayashi, Yasuhiro 1 Wilkes, Gareth 1 Wood, Melanie Matchett 1 Yang, Yu 1 Yasuda, Seidai 1 Yokomizo, Yuji 1 Zalesskii, Pavel 1 Zapata, Theo 1 Zdzisław, Wojtkowiak
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#### Cited in 61 Serials

 7 Journal of Algebra 5 Journal of Number Theory 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Mathematische Annalen 4 Algebraic & Geometric Topology 3 Inventiones Mathematicae 3 Mathematische Nachrichten 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Topology and its Applications 3 Journal of the Institute of Mathematics of Jussieu 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Journal of Geometry 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Journal of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Selecta Mathematica. New Series 2 Forum of Mathematics, Sigma 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Mathematics Magazine 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Sugaku Expositions 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Journal for Geometry and Graphics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 Journal of Topology 1 Journal of Topology and Analysis 1 Kyoto Journal of Mathematics 1 Iranian Journal of Mathematical Sciences and Informatics 1 Forum of Mathematics, Pi 1 Annales Mathématiques du Québec 1 EMS Surveys in Mathematical Sciences 1 Research in the Mathematical Sciences 1 Research in Number Theory 1 Winter Braids Lecture Notes
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#### Cited in 22 Fields

 57 Algebraic geometry (14-XX) 46 Number theory (11-XX) 33 Group theory and generalizations (20-XX) 16 Manifolds and cell complexes (57-XX) 9 Nonassociative rings and algebras (17-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Algebraic topology (55-XX) 7 Geometry (51-XX) 5 Field theory and polynomials (12-XX) 5 $$K$$-theory (19-XX) 4 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX)