Edit Profile (opens in new tab) Böckle, Gebhard Compute Distance To: Compute Author ID: bockle.gebhard Published as: Böckle, Gebhard; Boeckle, Gebhard Homepage: http://www1.iwr.uni-heidelberg.de/groups/arith-geom/home/members/gebhard-boeckle... External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 39 Publications since 1998, including 1 Book 3 Contributions as Editor · 3 Further Contributions Co-Authors: 26 Co-Authors with 25 Joint Publications 426 Co-Co-Authors all top 5 Co-Authors 19 single-authored 6 Khare, Chandrashekhar 3 Gajda, Wojciech 3 Petersen, Sebastian 2 Goss, David Mark 2 Gräf, Peter Mathias 2 Hartl, Urs T. 2 Thakur, Dinesh S. 1 Anni, Samuele 1 Bars Cortina, Francesc 1 Berger, Laurent 1 Blickle, Manuel 1 Butenuth, Ralf 1 Centeleghe, Tommaso Giorgio 1 Darmon, Henri René 1 Decker, Wolfram 1 Dembélé, Lassina 1 Diamond, Fred 1 Dieulefait, Luis Victor 1 Dimitrov, Mladen 1 Dokchitser, Tim 1 Edixhoven, Bas 1 Gvirtz, Damián 1 Harris, Michael Howard 1 Juschka, Ann-Kristin 1 Longhi, Ignazio 1 Malle, Gunter 1 Manning, Jeffrey A. 1 Mézard, Ariane 1 Papanikolas, Matthew A. 1 Perkins, Rudolph Bronson 1 Pink, Richard 1 Rotger, Victor 1 Salenger, Gary 1 Thorne, Jack A. 1 Trihan, Fabien 1 Troya, Álvaro 1 Ulmer, Douglas L. 1 Vakakis, Alexander F. 1 Voight, John Michael 1 Wiese, Gabor all top 5 Serials 4 Compositio Mathematica 4 Journal de Théorie des Nombres de Bordeaux 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 2 Journal of Algebra 2 Manuscripta Mathematica 2 Transactions of the American Mathematical Society 2 Advanced Courses in Mathematics – CRM Barcelona 1 Acta Mathematica 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Journal of the Ramanujan Mathematical Society 1 Mathematical Research Letters 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 LMS Journal of Computation and Mathematics 1 Journal of Mathematical Cryptology 1 EMS Tracts in Mathematics 1 Contributions in Mathematical and Computational Sciences 1 Research in Number Theory 1 EMS Series of Congress Reports all top 5 Fields 43 Number theory (11-XX) 14 Algebraic geometry (14-XX) 5 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 204 times in 152 Documents Cited by ▼ Year ▼ Cartier modules: finiteness results. Zbl 1239.13007Blickle, Manuel; Böckle, Gebhard 29 2011 On the density of modular points in universal deformation spaces. Zbl 0984.11025Böckle, Gebhard 16 2001 Cohomological theory of crystals over function fields. Zbl 1186.14002Böckle, Gebhard; Pink, Richard 16 2009 Global \(L\)-functions over function fields. Zbl 1125.11031Böckle, Gebhard 14 2002 A local-to-global principle for deformations of Galois representations. Zbl 1040.11039Böckle, Gebhard 12 1999 On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031Khare, Chandrashekhar 9 2003 Mod \(\ell\) representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029Böckle, Gebhard; Khare, Chandrashekhar 9 2006 Demuškin groups with group actions and applications to deformations of Galois representations. Zbl 0952.11009Böckle, Gebhard 8 2000 Uniformizable families of \(t\)-motives. Zbl 1140.11030Böckle, Gebhard; Hartl, Urs 8 2007 \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. 8 2019 The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y]/(y^2+y+x^3+x+1)\). Zbl 1282.11115Böckle, Gebhard 7 2013 Presentations of universal deformation rings. Zbl 1144.11044Böckle, Gebhard 7 2007 The generic fiber of the universal deformation space associated to a tame Galois representation. Zbl 0958.11041Böckle, Gebhard 5 1998 Deformations of Galois representations. Zbl 1325.11051Böckle, Gebhard 5 2013 Cohomological theory of crystals over function fields and applications. Zbl 1386.11076Böckle, Gebhard 5 2014 Explicit universal deformations of even Galois representations. Zbl 0958.11042Böckle, Gebhard 4 1999 On computing quaternion quotient graphs for function fields. Zbl 1285.11079Böckle, Gebhard; Butenuth, Ralf 4 2012 Hecke characters associated to Drinfeld modular forms. Zbl 1333.11044Böckle, Gebhard; Centeleghe, Tommaso 4 2015 Independence of \(\ell\)-adic representations of geometric Galois groups. Zbl 1444.11109Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 4 2018 Arithmetic over function fields: a cohomological approach. Zbl 1188.11043Böckle, Gebhard 4 2005 Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036Böckle, Gebhard; Khare, Chandrashekhar 3 2005 Lifting mod \(p\) representations to characteristics \(p^{2}\). Zbl 1043.11048Böckle, Gebhard 3 2003 Irreducibility of versal deformation rings in the \((p,p)\)-case for 2-dimensional representations. Zbl 1354.11042Böckle, Gebhard; Juschka, Ann-Kristin 3 2015 Deformation rings for some mod 3 Galois representations of the absolute Galois group of \(\mathbb Q_3\). (Anneaux de déformation pour certaines représentations galoisiennes mod 3 du groupe de Galois absolu de \(\mathbb Q_3\).) Zbl 1223.11141Böckle, Gebhard 3 2010 Algebraic Hecke characters and strictly compatible systems of abelian mod \(p\) Galois representations over global fields. Zbl 1329.11058Böckle, Gebhard 2 2013 Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. Zbl 1430.11124Böckle, Gebhard; Thakur, Dinesh S. 2 2017 Division algebras and maximal orders for given invariants. Zbl 1360.16019Böckle, Gebhard; Gvirtz, Damián 2 2016 \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003 2 2020 Deformations and the rigidity method. Zbl 1218.11053Böckle, Gebhard 1 2008 The prime-to-adjoint principle and unobstructed Galois deformations in the Borel case. Zbl 0958.11040Böckle, Gebhard; Mézard, Ariane 1 1999 Finiteness conjectures for \({\mathbb F}_l[[T]]\)-analytic extensions of number fields. Zbl 1072.11035Böckle, Gebhard 1 2002 Galois representations. Zbl 1351.11032Böckle, Gebhard 1 2013 A variational open image theorem in positive characteristic. Zbl 1473.11127Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 1 2018 On the semisimplicity of reductions and adelic openness for \(E\)-rational compatible systems over global function fields. Zbl 1471.11176Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 1 2019 \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zbl 1441.14003 2 2020 \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic. Zbl 1437.11078Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. 8 2019 On the semisimplicity of reductions and adelic openness for \(E\)-rational compatible systems over global function fields. Zbl 1471.11176Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 1 2019 Independence of \(\ell\)-adic representations of geometric Galois groups. Zbl 1444.11109Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 4 2018 A variational open image theorem in positive characteristic. Zbl 1473.11127Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 1 2018 Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. Zbl 1430.11124Böckle, Gebhard; Thakur, Dinesh S. 2 2017 Division algebras and maximal orders for given invariants. Zbl 1360.16019Böckle, Gebhard; Gvirtz, Damián 2 2016 Hecke characters associated to Drinfeld modular forms. Zbl 1333.11044Böckle, Gebhard; Centeleghe, Tommaso 4 2015 Irreducibility of versal deformation rings in the \((p,p)\)-case for 2-dimensional representations. Zbl 1354.11042Böckle, Gebhard; Juschka, Ann-Kristin 3 2015 Cohomological theory of crystals over function fields and applications. Zbl 1386.11076Böckle, Gebhard 5 2014 The distribution of the zeros of the Goss zeta-function for \(A=\mathbb{F}_2[x,y]/(y^2+y+x^3+x+1)\). Zbl 1282.11115Böckle, Gebhard 7 2013 Deformations of Galois representations. Zbl 1325.11051Böckle, Gebhard 5 2013 Algebraic Hecke characters and strictly compatible systems of abelian mod \(p\) Galois representations over global fields. Zbl 1329.11058Böckle, Gebhard 2 2013 Galois representations. Zbl 1351.11032Böckle, Gebhard 1 2013 On computing quaternion quotient graphs for function fields. Zbl 1285.11079Böckle, Gebhard; Butenuth, Ralf 4 2012 Cartier modules: finiteness results. Zbl 1239.13007Blickle, Manuel; Böckle, Gebhard 29 2011 Deformation rings for some mod 3 Galois representations of the absolute Galois group of \(\mathbb Q_3\). (Anneaux de déformation pour certaines représentations galoisiennes mod 3 du groupe de Galois absolu de \(\mathbb Q_3\).) Zbl 1223.11141Böckle, Gebhard 3 2010 Cohomological theory of crystals over function fields. Zbl 1186.14002Böckle, Gebhard; Pink, Richard 16 2009 Deformations and the rigidity method. Zbl 1218.11053Böckle, Gebhard 1 2008 Uniformizable families of \(t\)-motives. Zbl 1140.11030Böckle, Gebhard; Hartl, Urs 8 2007 Presentations of universal deformation rings. Zbl 1144.11044Böckle, Gebhard 7 2007 Mod \(\ell\) representations of arithmetic fundamental groups. II: A conjecture of A. J. de Jong. Zbl 1186.11029Böckle, Gebhard; Khare, Chandrashekhar 9 2006 Arithmetic over function fields: a cohomological approach. Zbl 1188.11043Böckle, Gebhard 4 2005 Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre’s conjecture for function fields. Zbl 1078.11036Böckle, Gebhard; Khare, Chandrashekhar 3 2005 On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). Zbl 1042.11031Khare, Chandrashekhar 9 2003 Lifting mod \(p\) representations to characteristics \(p^{2}\). Zbl 1043.11048Böckle, Gebhard 3 2003 Global \(L\)-functions over function fields. Zbl 1125.11031Böckle, Gebhard 14 2002 Finiteness conjectures for \({\mathbb F}_l[[T]]\)-analytic extensions of number fields. Zbl 1072.11035Böckle, Gebhard 1 2002 On the density of modular points in universal deformation spaces. Zbl 0984.11025Böckle, Gebhard 16 2001 Demuškin groups with group actions and applications to deformations of Galois representations. Zbl 0952.11009Böckle, Gebhard 8 2000 A local-to-global principle for deformations of Galois representations. Zbl 1040.11039Böckle, Gebhard 12 1999 Explicit universal deformations of even Galois representations. Zbl 0958.11042Böckle, Gebhard 4 1999 The prime-to-adjoint principle and unobstructed Galois deformations in the Borel case. Zbl 0958.11040Böckle, Gebhard; Mézard, Ariane 1 1999 The generic fiber of the universal deformation space associated to a tame Galois representation. Zbl 0958.11041Böckle, Gebhard 5 1998 all cited Publications top 5 cited Publications all top 5 Cited by 151 Authors 16 Böckle, Gebhard 9 Khare, Chandrashekhar 6 Stäbler, Axel 5 Hartl, Urs T. 5 Schwede, Karl E. 4 Bleher, Frauke M. 4 Blickle, Manuel 4 Boix, Alberto Fernandez 4 Núñez-Betancourt, Luis 3 Àlvarez Montaner, Josep 3 Anglès, Bruno 3 Calegari, Frank 3 Goss, David Mark 3 Manoharmayum, Jayanta 3 Paškūnas, Vytautas 3 Patrikis, Stefan T. 3 Perkins, Rudolph Bronson 3 Petersen, Sebastian 3 Thakur, Dinesh S. 3 Zarzuela, Santiago 2 Chinburg, Ted 2 De Stefani, Alessandro 2 Fakhruddin, Najmuddin 2 Fang, JiangXue 2 Gajda, Wojciech 2 Gee, Toby 2 Grishkov, Alexander Nikolaevich 2 Krämer, Thomas 2 Lafforgue, Vincent 2 Logachev, Dmitry 2 Ma, Linquan 2 Mézard, Ariane 2 Newton, James 2 Nicole, Marc-Hubert 2 Papanikolas, Matthew A. 2 Patakfalvi, Zsolt 2 Pellarin, Federico 2 Rosso, Giovanni 2 Tavares Ribeiro, Floric 2 Tucker, Kevin 2 Tung, Shen-Ning 2 Yamagami, Atsushi 2 Yeşil, Mehmet 2 Zhang, Wenliang 1 Amadio Guidi, Federico 1 Babnik, Maurice 1 Bandini, Andrea 1 Bellaïche, Joël 1 Berger, Tobias 1 Bhatt, Bhargav 1 Bornhofen, Matthias 1 Boxer, George 1 Bräunling, Oliver 1 Brenner, Holger 1 Brochard, Sylvain 1 Brosnan, Patrick 1 Brownawell, W. Dale 1 Büyükboduk, Kâzim 1 Centeleghe, Tommaso Giorgio 1 Childers, Kevin 1 Chow, Timothy Yi-Chung 1 Cornelissen, Gunther 1 Dalal, Tarun 1 Datta, Rankeya 1 de Smit, Bart 1 Demeslay, Florent 1 Deo, Shaunak V. 1 Dieulefait, Luis Victor 1 Emerton, Matthew 1 Epstein, Neil 1 Franc, Cameron 1 Gamzon, Adam 1 Gardeyn, Francis 1 Gazda, Quentin 1 Gezmiş, Oğuz 1 Gómez Torrecillas, José 1 Graf, Patrick 1 Green, Nathan 1 Grifo, Eloísa 1 Gvirtz, Damián 1 Harada, Shinya 1 Heuer, Ben 1 Hsiao, Jen-Chieh 1 Huneke, Craig L. 1 Iijima, Yu 1 Jaikin-Zapirain, Andrei 1 Juschka, Ann-Kristin 1 Kaid, Almar 1 Katzman, Mordechai 1 Kim, Wansu 1 Kisin, Mark 1 Klevdal, Christian 1 Kumar, Narasimha 1 Kutas, Péter 1 Lara Rodríguez, José Alejandro 1 Lee, Jungyun 1 Lee, Yoonjin 1 Litt, Daniel 1 Lobillo, Francisco Javier 1 Longhi, Ignazio ...and 51 more Authors all top 5 Cited in 50 Serials 23 Journal of Number Theory 11 Journal de Théorie des Nombres de Bordeaux 9 Journal of Algebra 9 Transactions of the American Mathematical Society 6 Inventiones Mathematicae 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Manuscripta Mathematica 4 Journal of the American Mathematical Society 3 Advances in Mathematics 3 Publications Mathématiques 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Nagoya Mathematical Journal 3 Journal of Algebraic Geometry 3 Finite Fields and their Applications 3 Selecta Mathematica. New Series 2 Communications in Algebra 2 Annals of Mathematics. Second Series 2 LMS Journal of Computation and Mathematics 2 Journal of Algebra and its Applications 2 International Journal of Number Theory 2 Forum of Mathematics, Sigma 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Journal of Symbolic Computation 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Taiwanese Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Hacettepe Journal of Mathematics and Statistics 1 Frontiers of Mathematics in China 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Annales Mathématiques du Québec 1 Research in the Mathematical Sciences 1 Research in Number Theory all top 5 Cited in 13 Fields 110 Number theory (11-XX) 61 Algebraic geometry (14-XX) 34 Commutative algebra (13-XX) 10 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 8 Topological groups, Lie groups (22-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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