Edit Profile (opens in new tab) Stix, Jakob Co-Author Distance Author ID: stix.jakob Published as: Stix, Jakob Homepage: http://www.math.uni-frankfurt.de/~stix/publikationen.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 38 Publications since 2002, including 2 Books and 5 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 28 Co-Authors with 27 Joint Publications 512 Co-Co-Authors all top 5 Co-Authors 14 single-authored 5 Vdovina, Alina A. 3 Çiperiani, Mirela 3 Küronya, Alex 3 Mustopa, Yusuf 2 Achinger, Piotr 2 Bary-Soroker, Lior 2 Centeleghe, Tommaso Giorgio 2 Lara, Marcin 2 Peyerimhoff, Norbert 2 Pop, Florian 2 Roth, Marc 2 Schmitt, Johannes 2 Srinivas, Vasudevan 1 Betts, Luke Alexander 1 Borne, Niels 1 Carlson, Magnus 1 Collas, Benjamin 1 Dèbes, Pierre 1 Emsalem, Michel 1 Esnault, Hélène 1 Harari, David 1 Holschbach, Armin 1 Hübner, Katharina 1 Nakamura, Hiroaki 1 Rungtanapirom, Nithi 1 Schmidt, Alexander 1 Schmidt, Johannes 1 Wellnitz, Philip all top 5 Serials 2 Israel Journal of Mathematics 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Oberwolfach Reports 2 Algebra & Number Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Mathematical Journal of Okayama University 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Annals of Mathematics. Second Series 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bonner Mathematische Schriften 1 Lecture Notes in Mathematics 1 Contributions in Mathematical and Computational Sciences 1 Algebraic Geometry all top 5 Fields 33 Algebraic geometry (14-XX) 17 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 209 times in 155 Documents Cited by ▼ Year ▼ Rational points and arithmetic of fundamental groups. Evidence for the section conjecture. Zbl 1272.14003 Stix, Jakob 25 2013 Categories of abelian varieties over finite fields. I: Abelian varieties over \(\mathbb F_p\). Zbl 1395.11102 Centeleghe, Tommaso Giorgio; Stix, Jakob 17 2015 Projective anabelian curves in positive characteristic and descent theory for log-étale covers. Zbl 1077.14040 Stix, Jakob 15 2002 On the period-index problem in light of the section conjecture. Zbl 1198.14025 Stix, Jakob 13 2010 Weil-Châtelet divisible elements in Tate-Shafarevich groups. II: On a question of Cassels. Zbl 1327.11040 Çiperiani, Mirela; Stix, Jakob 13 2015 Descent obstruction and fundamental exact sequence. Zbl 1315.14032 Harari, David; Stix, Jakob 11 2012 Anabelian geometry with étale homotopy types. Zbl 1405.14053 Schmidt, Alexander; Stix, Jakob 10 2016 Series of \(p\)-groups with Beauville structure. Zbl 1364.20009 Stix, Jakob; Vdovina, Alina 10 2016 On cuspidal sections of algebraic fundamental groups. Zbl 1321.14027 Stix, Jakob 10 2012 A general Seifert-van Kampen theorem for algebraic fundamental groups. Zbl 1109.14023 Stix, Jakob 9 2006 Arithmetic in the fundamental group of a \(p\)-adic curve. On the \(p\)-adic section conjecture for curves. Zbl 1401.14135 Pop, Florian; Stix, Jakob 9 2017 Affine anabelian curves in positive characteristic. Zbl 1053.14031 Stix, Jakob 8 2002 The Brauer-Manin obstruction for sections of the fundamental group. Zbl 1227.14032 Stix, Jakob 8 2011 Simply transitive quaternionic lattices of rank \(2\) over \(\mathbb{F}_q(t)\) and a non-classical fake quadric. Zbl 1405.11089 Stix, Jakob; Vdovina, Alina 7 2017 Trading degree for dimension in the section conjecture: the non-abelian Shapiro lemma. Zbl 1190.14028 Stix, Jakob 6 2010 Infinite series of quaternionic \(1\)-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes. Zbl 1471.20025 Rungtanapirom, Nithi; Stix, Jakob; Vdovina, Alina 6 2019 A monodromy criterion for extending curves. Zbl 1096.14018 Stix, Jakob 5 2005 A logarithmic view towards semistable reduction. Zbl 1080.14035 Stix, Jakob 5 2005 On the birational section conjecture with local conditions. Zbl 1362.14030 Stix, Jakob 4 2015 Parameterized (modular) counting and Cayley graph expanders. Zbl 07724257 Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina 3 2021 Birational \(p\)-adic Galois sections in higher dimensions. Zbl 1306.14007 Stix, Jakob 2 2013 The arithmetic of fundamental groups. PIA 2010. Based on a meeting, Heidelberg, Germany, February 8–12, 2010. Zbl 1231.14001 2 2012 Parameterized counting and Cayley graph expanders. Zbl 07690451 Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina; Wellnitz, Philip 2 2023 Weil-Châtelet divisible elements in Tate-Shafarevich groups. I: The Bashmakov problem for elliptic curves over \(\mathbb Q\). Zbl 1300.11056 Çiperiani, Mirela; Stix, Jakob 2 2013 Étale contractible varieties in positive characteristic. Zbl 1299.14019 Holschbach, Armin; Schmidt, Johannes; Stix, Jakob 1 2014 Cubic twin prime polynomials are counted by a modular form. Zbl 1460.11146 Bary-Soroker, Lior; Stix, Jakob 1 2019 Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). Zbl 1487.00035 1 2021 An obstruction to lifting to characteristic 0. Zbl 1536.14016 Esnault, Hélène; Srinivas, Vasudevan; Stix, Jakob 1 2023 Parameterized counting and Cayley graph expanders. Zbl 07690451 Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina; Wellnitz, Philip 2 2023 An obstruction to lifting to characteristic 0. Zbl 1536.14016 Esnault, Hélène; Srinivas, Vasudevan; Stix, Jakob 1 2023 Parameterized (modular) counting and Cayley graph expanders. Zbl 07724257 Peyerimhoff, Norbert; Roth, Marc; Schmitt, Johannes; Stix, Jakob; Vdovina, Alina 3 2021 Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). Zbl 1487.00035 1 2021 Infinite series of quaternionic \(1\)-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes. Zbl 1471.20025 Rungtanapirom, Nithi; Stix, Jakob; Vdovina, Alina 6 2019 Cubic twin prime polynomials are counted by a modular form. Zbl 1460.11146 Bary-Soroker, Lior; Stix, Jakob 1 2019 Arithmetic in the fundamental group of a \(p\)-adic curve. On the \(p\)-adic section conjecture for curves. Zbl 1401.14135 Pop, Florian; Stix, Jakob 9 2017 Simply transitive quaternionic lattices of rank \(2\) over \(\mathbb{F}_q(t)\) and a non-classical fake quadric. Zbl 1405.11089 Stix, Jakob; Vdovina, Alina 7 2017 Anabelian geometry with étale homotopy types. Zbl 1405.14053 Schmidt, Alexander; Stix, Jakob 10 2016 Series of \(p\)-groups with Beauville structure. Zbl 1364.20009 Stix, Jakob; Vdovina, Alina 10 2016 Categories of abelian varieties over finite fields. I: Abelian varieties over \(\mathbb F_p\). Zbl 1395.11102 Centeleghe, Tommaso Giorgio; Stix, Jakob 17 2015 Weil-Châtelet divisible elements in Tate-Shafarevich groups. II: On a question of Cassels. Zbl 1327.11040 Çiperiani, Mirela; Stix, Jakob 13 2015 On the birational section conjecture with local conditions. Zbl 1362.14030 Stix, Jakob 4 2015 Étale contractible varieties in positive characteristic. Zbl 1299.14019 Holschbach, Armin; Schmidt, Johannes; Stix, Jakob 1 2014 Rational points and arithmetic of fundamental groups. Evidence for the section conjecture. Zbl 1272.14003 Stix, Jakob 25 2013 Birational \(p\)-adic Galois sections in higher dimensions. Zbl 1306.14007 Stix, Jakob 2 2013 Weil-Châtelet divisible elements in Tate-Shafarevich groups. I: The Bashmakov problem for elliptic curves over \(\mathbb Q\). Zbl 1300.11056 Çiperiani, Mirela; Stix, Jakob 2 2013 Descent obstruction and fundamental exact sequence. Zbl 1315.14032 Harari, David; Stix, Jakob 11 2012 On cuspidal sections of algebraic fundamental groups. Zbl 1321.14027 Stix, Jakob 10 2012 The arithmetic of fundamental groups. PIA 2010. Based on a meeting, Heidelberg, Germany, February 8–12, 2010. Zbl 1231.14001 2 2012 The Brauer-Manin obstruction for sections of the fundamental group. Zbl 1227.14032 Stix, Jakob 8 2011 On the period-index problem in light of the section conjecture. Zbl 1198.14025 Stix, Jakob 13 2010 Trading degree for dimension in the section conjecture: the non-abelian Shapiro lemma. Zbl 1190.14028 Stix, Jakob 6 2010 A general Seifert-van Kampen theorem for algebraic fundamental groups. Zbl 1109.14023 Stix, Jakob 9 2006 A monodromy criterion for extending curves. Zbl 1096.14018 Stix, Jakob 5 2005 A logarithmic view towards semistable reduction. Zbl 1080.14035 Stix, Jakob 5 2005 Projective anabelian curves in positive characteristic and descent theory for log-étale covers. Zbl 1077.14040 Stix, Jakob 15 2002 Affine anabelian curves in positive characteristic. Zbl 1053.14031 Stix, Jakob 8 2002 all cited Publications top 5 cited Publications all top 5 Cited by 181 Authors 16 Stix, Jakob 7 Vdovina, Alina A. 6 Creutz, Brendan 6 Gül, Şükran 6 Marseglia, Stefano 4 Hoshi, Yuichiro 4 Paladino, Laura 3 Borne, Niels 3 Bresciani, Giulio 3 Fairbairn, Ben Thomas 3 Ranieri, Gabriele 3 Roth, Marc 3 Rungtanapirom, Nithi 3 Saïdi, Mohamed Réda 3 Voloch, José Felipe 3 Wickelgren, Kirsten G. 2 Achinger, Piotr 2 Bondarenko, Ievgen V. 2 Çiperiani, Mirela 2 Collas, Benjamin 2 Dèbes, Pierre 2 Dvornicich, Roberto 2 Emsalem, Michel 2 Gavioli, Norberto 2 Gillibert, Florence 2 Goldberg, Leslie Ann 2 Harari, David 2 Kweon, Hyuk Jun 2 Lara, Marcin 2 Lawson, Mark Verus 2 Lepage, Emmanuel 2 Nicaise, Johannes 2 Pál, Ambrus 2 Pop, Florian 2 Quick, Gereon 2 Springer, Caleb 2 Szamuely, Tamás 2 Tamagawa, Akio 2 Thillaisundaram, Anitha 2 Tsujimura, Shota 2 Wittenberg, Olivier 2 Yamaguchi, Naganori 2 Yang, Yu 1 Alessandrì, Jessica 1 Asok, Aravind 1 Auel, Asher Natan 1 Bellardini, Alberto 1 Bernardara, Marcello 1 Best, Alexander 1 Betts, Luke Alexander 1 Boggi, Marco 1 Bondarenko, Nataliia 1 Bressan, Marco 1 Cadoret, Anna 1 Cautis, Sabin 1 Centeleghe, Tommaso Giorgio 1 Chirivì, Rocco 1 D’Addezio, Marco 1 Das, Soumyadip 1 Davis, Rachel 1 Demarche, Cyril 1 Di Domenico, Elena 1 Dogra, Netan 1 Dragutinović, Dušan 1 Dupuy, Taylor 1 Fernández-Alcober, Gustavo A. 1 Fieker, Claus 1 Forré, Patrick 1 Funar, Louis 1 Gaulhiac, Sylvain 1 Gee, Toby 1 Gorodetsky, Ofir 1 Haak, Anselm 1 Hain, Richard M. 1 Halle, Lars Halvard 1 Hamacher, Paul 1 Hamza, Oussama 1 Harbater, David 1 Harpaz, Yonatan 1 Hartmann, Julia 1 Herzig, Florian 1 Hiranouchi, Toshiro 1 Hofmann, Tommy 1 Hopkins, Michael Jerome 1 Hoskins, Victoria 1 Jarden, Moshe 1 Jonsson, Mattias 1 Jordan, Bruce W. 1 Karemaker, Valentijn 1 Katen, Jeffrey 1 Kato, Kazuya 1 Kedlaya, Kiran Sridhara 1 Keeton, Allan G. 1 Kim, Wansu 1 Kirschmer, Markus 1 Kivva, Bohdan 1 Koenigsmann, Jochen 1 Koymans, Peter 1 Krashen, Daniel 1 Larsen, Nadia S. ...and 81 more Authors all top 5 Cited in 65 Serials 8 Journal of Pure and Applied Algebra 8 Mathematische Annalen 7 Journal of Algebra 6 Journal of Number Theory 6 Mathematische Zeitschrift 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 International Journal of Number Theory 4 Israel Journal of Mathematics 4 Bulletin of the London Mathematical Society 3 Advances in Mathematics 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Journal of the London Mathematical Society. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 International Journal of Algebra and Computation 3 Journal of Algebraic Geometry 3 Journal de Théorie des Nombres de Bordeaux 3 Groups, Geometry, and Dynamics 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Algorithmica 2 Journal of Group Theory 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Algebra & Number Theory 2 Kyoto Journal of Mathematics 2 European Journal of Mathematics 2 Research in Number Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 SIAM Journal on Computing 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 Expositiones Mathematicae 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Algebraic & Geometric Topology 1 Algebra and Discrete Mathematics 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Topology 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B 1 Advances in Group Theory and Applications 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Cited in 19 Fields 120 Algebraic geometry (14-XX) 83 Number theory (11-XX) 28 Group theory and generalizations (20-XX) 11 Algebraic topology (55-XX) 10 Field theory and polynomials (12-XX) 6 Associative rings and algebras (16-XX) 5 \(K\)-theory (19-XX) 4 Combinatorics (05-XX) 4 Computer science (68-XX) 3 Category theory; homological algebra (18-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-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.