Edit Profile (opens in new tab) Mochizuki, Shinichi Co-Author Distance Author ID: 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 all top 5 Co-Authors 43 single-authored 5 Hoshi, Yuichiro 3 Tamagawa, Akio 2 Minamide, Arata 1 Fesenko, Ivan Borisovich 1 Kato, Kazuya 1 Moriwaki, Atsushi 1 Nakamura, Hiroaki 1 Porowski, Wojciech 1 Yoshida, Hiroyuki all top 5 Serials 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of Mathematical Sciences. University of Tokyo 3 Kodai Mathematical Journal 3 Mathematical Journal of Okayama University 2 Hiroshima Mathematical Journal 2 Journal of Mathematics of Kyoto University 2 Kyushu Journal of Mathematics 2 Documenta Mathematica 2 RIMS Kôkyûroku Bessatsu 1 Advances in Mathematics 1 Hokkaido Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 International Journal of Mathematics 1 Lecture Notes in Mathematics 1 AMS/IP Studies in Advanced Mathematics 1 Research in the Mathematical Sciences all top 5 Fields 49 Algebraic geometry (14-XX) 16 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Category theory; homological algebra (18-XX) 3 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 25 Fields 192 Algebraic geometry (14-XX) 76 Number theory (11-XX) 20 Field theory and polynomials (12-XX) 18 Group theory and generalizations (20-XX) 13 Several complex variables and analytic spaces (32-XX) 9 Functions of a complex variable (30-XX) 7 Manifolds and cell complexes (57-XX) 6 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.