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Mochizuki, Shinichi

Author ID: mochizuki.shinichi Recent zbMATH articles by "Mochizuki, Shinichi"
Published as: Mochizuki, Shinichi
Further Spellings: 望月新一
Homepage: http://www.kurims.kyoto-u.ac.jp/~motizuki/top-english.html
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 50 Publications since 1995, including 2 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 9 Co-Authors with 8 Joint Publications
149 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 546 times in 229 Documents Cited by Year
The local pro-p anabelian geometry of curves. Zbl 0935.14019
Mochizuki, Shinichi
50
1999
The geometry of the compactification of the Hurwitz scheme. Zbl 0866.14013
Mochizuki, Shinichi
38
1995
Topics in absolute anabelian geometry I: Generalities. Zbl 1267.14039
Mochizuki, Shinichi
30
2012
On the combinatorial anabelian geometry of nodally nondegenerate outer representations. Zbl 1264.14041
Hoshi, Yuichiro; Mochizuki, Shinichi
27
2011
Topics surrounding the anabelian geometry of hyperbolic curves. Zbl 1053.14029
Mochizuki, Shinichi
27
2003
Absolute anabelian cuspidalization of proper hyperbolic curves. Zbl 1143.14305
Mochizuki, Shinichi
27
2007
Foundations of \(p\)-adic Teichmüller theory. Zbl 0969.14013
Mochizuki, Shinichi
26
1999
The absolute anabelian geometry of hyperbolic curves. Zbl 1062.14031
Mochizuki, Shinichi
26
2004
Semi-graphs of anabelioids. Zbl 1113.14025
Mochizuki, Shinichi
24
2006
Topics in absolute anabelian geometry. III: Global reconstruction algorithms. Zbl 1358.14024
Mochizuki, Shinichi
24
2015
The algebraic and anabelian geometry of configuration spaces. Zbl 1143.14306
Mochizuki, Shinichi; Tamagawa, Akio
24
2008
A theory of ordinary \(p\)-adic curves. Zbl 0879.14009
Mochizuki, Shinichi
19
1996
Extending families of curves over log regular schemes. Zbl 0933.14012
Mochizuki, Shinichi
16
1999
A combinatorial version of the Grothendieck conjecture. Zbl 1129.14043
Mochizuki, Shinichi
15
2007
A version of the Grothendieck conjecture for \(p\)-adic local fields. Zbl 0894.11046
Mochizuki, Shinichi
15
1997
The profinite Grothendieck conjecture for closed hyperbolic curves over number fields. Zbl 0889.11020
Mochizuki, Shinichi
14
1996
Correspondences on hyperbolic curves. Zbl 0965.14013
Mochizuki, Shinichi
13
1998
Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists. Zbl 1321.14018
Hoshi, Yuichiro; Mochizuki, Shinichi
12
2012
Topics in absolute anabelian geometry. II: Decomposition groups and endomorphisms. Zbl 1367.14011
Mochizuki, Shinichi
11
2013
The geometry of Froebenioids. II: Poly-Frobenioids. Zbl 1200.14008
Mochizuki, Shinichi
9
2008
On the combinatorial cuspidalization of hyperbolic curves. Zbl 1207.14032
Mochizuki, Shinichi
9
2010
Inter-universal Teichmüller theory. I: Construction of Hodge theaters. Zbl 1465.14002
Mochizuki, Shinichi
9
2021
The absolute anabelian geometry of canonical curves. Zbl 1092.14507
Mochizuki, Shinichi
8
2003
Galois sections in absolute anabelian geometry. Zbl 1129.14042
Mochizuki, Shinichi
8
2005
Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations. Zbl 1465.14005
Mochizuki, Shinichi
8
2021
The étale theta function and its Frobenioid-theoretic manifestations. Zbl 1170.14023
Mochizuki, Shinichi
7
2009
Arithmetic elliptic curves in general position. Zbl 1221.14024
Mochizuki, Shinichi
6
2010
The geometry of anabelioids. Zbl 1113.14021
Mochizuki, Shinichi
6
2004
Noncritical Belyi maps. Zbl 1080.14037
Mochizuki, Shinichi
6
2004
A survey of the Hodge-Arakelov theory of elliptic curves. II. Zbl 1056.14032
Mochizuki, Shinichi
5
2002
A survey of the Hodge-Arakelov theory of elliptic curves. I. Zbl 1058.14039
Mochizuki, Shinichi
5
2002
Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups. Zbl 1511.14050
Hoshi, Yuichiro; Minamide, Arata; Mochizuki, Shinichi
3
2022
Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces. Zbl 1124.14031
Mochizuki, Shinichi
2
2006
Global solvably closed anabelian geometry. Zbl 1130.14025
Mochizuki, Shinichi
2
2006
A panoramic overview of inter-universal Teichmüller theory. Zbl 1403.14061
Mochizuki, Shinichi
2
2014
Monomorphisms in categories of log schemes. Zbl 1401.14011
Mochizuki, Shinichi
2
2015
Topics surrounding the combinatorial anabelian geometry of hyperbolic curves II. Tripods and combinatorial cuspidalization. Zbl 1520.11002
Hoshi, Yuichiro; Mochizuki, Shinichi
2
2022
Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation. Zbl 1465.14003
Mochizuki, Shinichi
2
2021
The Grothendieck conjecture on the fundamental groups of algebraic curves. Zbl 0943.14014
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi
1
1998
The intrinsic Hodge theory of \(p\)-adic hyperbolic curves. Zbl 1052.14024
Mochizuki, Shinichi
1
1998
An introduction to \(p\)-adic Teichmüller theory. Zbl 0995.14005
Mochizuki, Shinichi
1
2002
Categorical representation of locally Noetherian log schemes. Zbl 1073.14002
Mochizuki, Shinichi
1
2004
The geometry of Froebenioids. I: The general theory. Zbl 1200.14007
Mochizuki, Shinichi
1
2008
The mathematics of mutually alien copies: from Gaussian integrals to inter-universal Teichmuller theory. Zbl 07362869
Mochizuki, Shinichi
1
2021
Inter-universal Teichmüller theory. III: Canonical splittings of the log-theta-lattice. Zbl 1465.14004
Mochizuki, Shinichi
1
2021
Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups. Zbl 1511.14050
Hoshi, Yuichiro; Minamide, Arata; Mochizuki, Shinichi
3
2022
Topics surrounding the combinatorial anabelian geometry of hyperbolic curves II. Tripods and combinatorial cuspidalization. Zbl 1520.11002
Hoshi, Yuichiro; Mochizuki, Shinichi
2
2022
Inter-universal Teichmüller theory. I: Construction of Hodge theaters. Zbl 1465.14002
Mochizuki, Shinichi
9
2021
Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations. Zbl 1465.14005
Mochizuki, Shinichi
8
2021
Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation. Zbl 1465.14003
Mochizuki, Shinichi
2
2021
The mathematics of mutually alien copies: from Gaussian integrals to inter-universal Teichmuller theory. Zbl 07362869
Mochizuki, Shinichi
1
2021
Inter-universal Teichmüller theory. III: Canonical splittings of the log-theta-lattice. Zbl 1465.14004
Mochizuki, Shinichi
1
2021
Topics in absolute anabelian geometry. III: Global reconstruction algorithms. Zbl 1358.14024
Mochizuki, Shinichi
24
2015
Monomorphisms in categories of log schemes. Zbl 1401.14011
Mochizuki, Shinichi
2
2015
A panoramic overview of inter-universal Teichmüller theory. Zbl 1403.14061
Mochizuki, Shinichi
2
2014
Topics in absolute anabelian geometry. II: Decomposition groups and endomorphisms. Zbl 1367.14011
Mochizuki, Shinichi
11
2013
Topics in absolute anabelian geometry I: Generalities. Zbl 1267.14039
Mochizuki, Shinichi
30
2012
Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists. Zbl 1321.14018
Hoshi, Yuichiro; Mochizuki, Shinichi
12
2012
On the combinatorial anabelian geometry of nodally nondegenerate outer representations. Zbl 1264.14041
Hoshi, Yuichiro; Mochizuki, Shinichi
27
2011
On the combinatorial cuspidalization of hyperbolic curves. Zbl 1207.14032
Mochizuki, Shinichi
9
2010
Arithmetic elliptic curves in general position. Zbl 1221.14024
Mochizuki, Shinichi
6
2010
The étale theta function and its Frobenioid-theoretic manifestations. Zbl 1170.14023
Mochizuki, Shinichi
7
2009
The algebraic and anabelian geometry of configuration spaces. Zbl 1143.14306
Mochizuki, Shinichi; Tamagawa, Akio
24
2008
The geometry of Froebenioids. II: Poly-Frobenioids. Zbl 1200.14008
Mochizuki, Shinichi
9
2008
The geometry of Froebenioids. I: The general theory. Zbl 1200.14007
Mochizuki, Shinichi
1
2008
Absolute anabelian cuspidalization of proper hyperbolic curves. Zbl 1143.14305
Mochizuki, Shinichi
27
2007
A combinatorial version of the Grothendieck conjecture. Zbl 1129.14043
Mochizuki, Shinichi
15
2007
Semi-graphs of anabelioids. Zbl 1113.14025
Mochizuki, Shinichi
24
2006
Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces. Zbl 1124.14031
Mochizuki, Shinichi
2
2006
Global solvably closed anabelian geometry. Zbl 1130.14025
Mochizuki, Shinichi
2
2006
Galois sections in absolute anabelian geometry. Zbl 1129.14042
Mochizuki, Shinichi
8
2005
The absolute anabelian geometry of hyperbolic curves. Zbl 1062.14031
Mochizuki, Shinichi
26
2004
The geometry of anabelioids. Zbl 1113.14021
Mochizuki, Shinichi
6
2004
Noncritical Belyi maps. Zbl 1080.14037
Mochizuki, Shinichi
6
2004
Categorical representation of locally Noetherian log schemes. Zbl 1073.14002
Mochizuki, Shinichi
1
2004
Topics surrounding the anabelian geometry of hyperbolic curves. Zbl 1053.14029
Mochizuki, Shinichi
27
2003
The absolute anabelian geometry of canonical curves. Zbl 1092.14507
Mochizuki, Shinichi
8
2003
A survey of the Hodge-Arakelov theory of elliptic curves. II. Zbl 1056.14032
Mochizuki, Shinichi
5
2002
A survey of the Hodge-Arakelov theory of elliptic curves. I. Zbl 1058.14039
Mochizuki, Shinichi
5
2002
An introduction to \(p\)-adic Teichmüller theory. Zbl 0995.14005
Mochizuki, Shinichi
1
2002
The local pro-p anabelian geometry of curves. Zbl 0935.14019
Mochizuki, Shinichi
50
1999
Foundations of \(p\)-adic Teichmüller theory. Zbl 0969.14013
Mochizuki, Shinichi
26
1999
Extending families of curves over log regular schemes. Zbl 0933.14012
Mochizuki, Shinichi
16
1999
Correspondences on hyperbolic curves. Zbl 0965.14013
Mochizuki, Shinichi
13
1998
The Grothendieck conjecture on the fundamental groups of algebraic curves. Zbl 0943.14014
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi
1
1998
The intrinsic Hodge theory of \(p\)-adic hyperbolic curves. Zbl 1052.14024
Mochizuki, Shinichi
1
1998
A version of the Grothendieck conjecture for \(p\)-adic local fields. Zbl 0894.11046
Mochizuki, Shinichi
15
1997
A theory of ordinary \(p\)-adic curves. Zbl 0879.14009
Mochizuki, Shinichi
19
1996
The profinite Grothendieck conjecture for closed hyperbolic curves over number fields. Zbl 0889.11020
Mochizuki, Shinichi
14
1996
The geometry of the compactification of the Hurwitz scheme. Zbl 0866.14013
Mochizuki, Shinichi
38
1995
all top 5

Cited by 211 Authors

18 Hoshi, Yuichiro
17 Mochizuki, Shinichi
10 Tsujimura, Shota
9 Saïdi, Mohamed Réda
8 Wakabayashi, Yasuhiro
6 Abrashkin, Viktor Aleksandrovich
6 Boggi, Marco
6 Osserman, Brian
6 Stix, Jakob
5 Iijima, Yu
4 Fesenko, Ivan Borisovich
4 Javanpeykar, Ariyan
4 Minamide, Arata
4 Tamagawa, Akio
4 Yang, Yu
3 Abramovich, Dan
3 Chen, Qile
3 Lepage, Emmanuel
3 Pop, Florian
3 Porowski, Wojciech
3 Sawada, Koichiro
3 Wickelgren, Kirsten G.
2 Achinger, Piotr
2 Battistella, Luca
2 Casalaina-Martin, Sebastian
2 de Pina, José Coelho
2 Fernandes, Cristina G.
2 Kim, Bumsig
2 Kresch, Andrew
2 Krishnamoorthy, Raju
2 Lan, Guitang
2 Landesman, Aaron
2 Massarenti, Alex
2 Mella, Massimiliano
2 Murotani, Takahiro
2 Nakamura, Hiroaki
2 Ohtani, Sachiko
2 Pagano, Carlo
2 Patel, Anand P.
2 Ramírez Alfonsín, Jorge Luis
2 Robins, Sinai
2 Sheng, Mao
2 Siebert, Bernd
2 Vetro, Francesca
2 Vistoli, Angelo
2 Xue, Jiangwei
2 Yu, Chia-Fu
2 Zuo, Kang
1 Achter, Jeffrey D.
1 Amorós, Jaume
1 André, Yves
1 Barnea, Yiftach
1 Bellaïche, Joël
1 Benois, Denis
1 Booher, Jeremy
1 Bordg, Anthony
1 Borne, Niels
1 Bost, Jean-Benoît
1 Bouw, Irene I.
1 Braungardt, Volker
1 Bresciani, Giulio
1 Buium, Alexandru
1 Cai, Tianxin
1 Canning, Samir
1 Carocci, Francesca
1 Casale, Guy
1 Cautis, Sabin
1 Cavalieri, Renzo
1 Chen, Deyi
1 Collas, Benjamin
1 Conrad, Brian
1 Cornelissen, Gunther
1 Corry, Scott
1 Corti, Alessio
1 Dèbes, Pierre
1 Deopurkar, Anand
1 Diaz, Steven P.
1 Ducrohet, Laurent
1 Dupuy, Taylor
1 Edixhoven, Sebastiaan Johan
1 Ellenberg, Jordan Stuart
1 Emsalem, Michel
1 Erman, Daniel
1 Ershov, Mikhail V.
1 Finotti, Luís R. A.
1 Frediani, Paola
1 Freitag, James
1 Fujii, Soichiro
1 Funar, Louis
1 Gaulhiac, Sylvain
1 González-Diez, Gabino
1 Gross, Mark
1 Hain, Richard M.
1 Hassett, Brendan
1 Helminck, Paul Alexander
1 Herr, Leo
1 Higashiyama, Kazumi
1 Hinich, Vladimir
1 Iwamasa, Yuni
1 Jaikin-Zapirain, Andrei
...and 111 more Authors
all top 5

Cited in 74 Serials

20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
12 Advances in Mathematics
12 Journal of Algebra
10 Transactions of the American Mathematical Society
8 Algebra & Number Theory
7 Mathematische Zeitschrift
6 Annales de l’Institut Fourier
6 Journal of Number Theory
6 Journal of Pure and Applied Algebra
6 Selecta Mathematica. New Series
5 Compositio Mathematica
5 Kodai Mathematical Journal
5 Mathematische Annalen
5 Journal de Théorie des Nombres de Bordeaux
5 Research in Number Theory
4 Inventiones Mathematicae
4 Journal für die Reine und Angewandte Mathematik
4 Manuscripta Mathematica
4 Proceedings of the American Mathematical Society
4 International Journal of Mathematics
4 Journal of Algebraic Geometry
4 Annals of Mathematics. Second Series
3 Duke Mathematical Journal
3 Mathematische Nachrichten
3 Nagoya Mathematical Journal
3 Osaka Journal of Mathematics
3 Journal of the Institute of Mathematics of Jussieu
3 Kyoto Journal of Mathematics
3 European Journal of Mathematics
2 Geometriae Dedicata
2 Hiroshima Mathematical Journal
2 Tôhoku Mathematical Journal. Second Series
2 Indagationes Mathematicae. New Series
2 Kyushu Journal of Mathematics
2 Geometry & Topology
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Hokkaido Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Bulletin of the Iranian Mathematical Society
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Combinatorics
1 St. Petersburg Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Journal of the European Mathematical Society (JEMS)
1 Algebraic & Geometric Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Homotopy and Related Structures
1 Journal of Topology
1 Iranian Journal of Mathematical Sciences and Informatics
1 Communications in Mathematics and Statistics
1 EMS Surveys in Mathematical Sciences
1 Research in the Mathematical Sciences
1 Transactions of the American Mathematical Society. Series B
1 Tunisian Journal of Mathematics
1 Combinatorial Theory

Citations by Year

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