Edit Profile Harbater, David Compute Distance To: Compute Author ID: harbater.david Published as: Harbater, D.; Harbater, David External Links: MGP · Wikidata Documents Indexed: 57 Publications since 1980, including 1 Book all top 5 Co-Authors 25 single-authored 13 Hartmann, Julia 9 Krashen, Daniel 5 Stevenson, Katherine F. 3 Bachmayr, Annette 3 Chinburg, Ted 3 Guralnick, Robert Michael 3 Parimala, Raman 3 Schneps, Leila 3 Suresh, Venapally 2 Colliot-Thélène, Jean-Louis 2 Diaz, Steven P. 2 van der Put, Marius 1 Bary-Soroker, Lior 1 Coombes, Kevin R. 1 Dèbes, Pierre 1 Denef, Jan 1 Donagi, Ron Y. 1 Haran, Dan 1 Matzat, Bernd Heinrich 1 Müller, Peter 1 Obus, Andrew 1 Pries, Rachel J. 1 Thompson, John Griggs 1 Völklein, Helmut 1 Wibmer, Michael all top 5 Serials 8 Journal of Algebra 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 American Journal of Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 1 Communications in Algebra 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Documenta Mathematica 1 Oberwolfach Reports 1 London Mathematical Society Lecture Note Series 1 Algebraic Geometry all top 5 Fields 53 Algebraic geometry (14-XX) 34 Field theory and polynomials (12-XX) 19 Group theory and generalizations (20-XX) 15 Commutative algebra (13-XX) 13 Number theory (11-XX) 4 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 50 Publications have been cited 449 times in 250 Documents Cited by ▼ Year ▼ Abhyankar’s conjecture on Galois groups over curves. Zbl 0805.14014Harbater, David 39 1994 Applications of patching to quadratic forms and central simple algebras. Zbl 1259.12003Harbater, David; Hartmann, Julia; Krashen, Daniel 34 2009 Hurwitz families and arithmetic Galois groups. Zbl 0601.14023Coombes, Kevin; Harbater, David 23 1985 Moduli of p-covers of curves. Zbl 0471.14011Harbater, David 22 1980 Patching and Galois theory. Zbl 1071.14029Harbater, David 21 2003 Patching over fields. Zbl 1213.14052Harbater, David; Hartmann, Julia 19 2010 Formal patching and adding branch points. Zbl 0790.14027Harbater, David 19 1993 Local Galois theory in dimension two. Zbl 1104.12003Harbater, David; Stevenson, Katherine F. 17 2005 Fundamental groups and embedding problems in characteristic \(p\). Zbl 0858.14013Harbater, David 17 1995 Galois coverings of the arithmetic line. Zbl 0627.12015Harbater, David 16 1987 Patching and thickening problems. Zbl 0944.14013Harbater, David; Stevenson, Katherine F. 15 1999 Local-global principles for torsors over arithmetic curves. Zbl 1348.11036Harbater, David; Hartmann, Julia; Krashen, Daniel 13 2015 Local-global principles for Galois cohomology. Zbl 1332.11046Harbater, David; Hartmann, Julia; Krashen, Daniel 13 2014 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 12 2008 Every curve is a Hurwitz space. Zbl 0712.14013Diaz, Steven; Donagi, Ron; Harbater, David 12 1989 Strong Bertini theorems. Zbl 0744.14004Diaz, Steven; Harbater, David 11 1991 Galois groups with prescribed ramification. Zbl 0815.11053Harbater, David 10 1994 Convergent arithmetic power series. Zbl 0577.13017Harbater, David 10 1984 Mock covers and Galois extensions. Zbl 0559.14021Harbater, David 10 1984 The local lifting problem for actions of finite groups on curves. Zbl 1239.14024Chinburg, Ted; Guralnick, Robert; Harbater, David 9 2011 Permanence criteria for semi-free profinite groups. Zbl 1256.20028Bary-Soroker, Lior; Haran, Dan; Harbater, David 9 2010 Refinements to patching and applications to field invariants. Zbl 1386.14101Harbater, David; Hartmann, Julia; Krashen, Daniel 7 2015 On function fields with free absolute Galois groups. Zbl 1192.12004Harbater, David 7 2009 Abhyankar’s conjecture and embedding problems. Zbl 1075.14026Harbater, David 7 2003 Patching subfields of division algebras. Zbl 1228.12004Harbater, David; Hartmann, Julia; Krashen, Daniel 6 2011 Embedding problems with local conditions. Zbl 1032.12007Harbater, David 6 2000 Differential Galois groups over Laurent series fields. Zbl 1348.12003Bachmayr, Annette; Harbater, David; Hartmann, Julia 5 2016 Valued fields and covers in characteristic \(p\). (With an appendix by Robert Guralnick). Zbl 1020.14007Harbater, David; van der Put, Marius 5 2002 Embedding problems and adding branch points. Zbl 0992.14009Harbater, David 5 1999 Galois covers of an arithmetic surface. Zbl 0683.14004Harbater, David 5 1988 Deformation theory and the tame fundamental group. Zbl 0461.14001Harbater, David 5 1980 Fundamental groups of moduli and the Grothendieck-Teichmüller group. Zbl 0956.14013Harbater, David; Schneps, Leila 4 2000 Fundamental groups of curves in characteristic \(p\). Zbl 0871.14023Harbater, David 4 1995 Weierstrass preparation and algebraic invariants. Zbl 1300.13019Harbater, David; Hartmann, Julia; Krashen, Daniel 3 2013 Embedding problems and open subgroups. Zbl 1231.14019Harbater, David; Stevenson, Katherine 3 2011 Correction and addendum to “Embedding problems with local conditions”. Zbl 1206.12002Harbater, David 3 2007 Fields of definition of \(p\)-adic covers. Zbl 0905.14015Dèbes, Pierre; Harbater, David 3 1998 Algebraic rings of arithmetic power series. Zbl 0578.13013Harbater, David 3 1984 Differential embedding problems over complex function fields. Zbl 1436.12006Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael 2 2018 Global Oort groups. Zbl 1406.20007Chinburg, Ted; Guralnick, Robert; Harbater, David 2 2017 Approximating Galois orbits of dessins. Zbl 0898.14011Harbater, David; Schneps, Leila 2 1997 On purity of inertia. Zbl 0743.14014Harbater, David 2 1991 Ordinary and supersingular covers in characteristic p. Zbl 0504.14019Harbater, David 2 1984 Local-global Galois theory of arithmetic function fields. Zbl 07093095Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 1 2019 Abhyankar’s conjectures in Galois theory: current status and future directions. Zbl 1432.14029Harbater, David; Obus, Andrew; Pries, Rachel; Stevenson, Katherine 1 2018 Abhyankar’s local conjecture on fundamental groups. Zbl 1119.12300Harbater, David; Stevenson, Katherine F. 1 2003 Arithmetic discriminants and horizontal intersections. Zbl 0724.14015Harbater, David 1 1992 Potential theory over local and global fields. II. Zbl 0793.14013Harbater, David 1 1992 Potential theory over local and global fields. I. Zbl 0793.14012Harbater, David 1 1992 Global approximation in dimension two. Zbl 0707.13003Denef, Jan; Harbater, David 1 1990 Local-global Galois theory of arithmetic function fields. Zbl 07093095Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 1 2019 Differential embedding problems over complex function fields. Zbl 1436.12006Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael 2 2018 Abhyankar’s conjectures in Galois theory: current status and future directions. Zbl 1432.14029Harbater, David; Obus, Andrew; Pries, Rachel; Stevenson, Katherine 1 2018 Global Oort groups. Zbl 1406.20007Chinburg, Ted; Guralnick, Robert; Harbater, David 2 2017 Differential Galois groups over Laurent series fields. Zbl 1348.12003Bachmayr, Annette; Harbater, David; Hartmann, Julia 5 2016 Local-global principles for torsors over arithmetic curves. Zbl 1348.11036Harbater, David; Hartmann, Julia; Krashen, Daniel 13 2015 Refinements to patching and applications to field invariants. Zbl 1386.14101Harbater, David; Hartmann, Julia; Krashen, Daniel 7 2015 Local-global principles for Galois cohomology. Zbl 1332.11046Harbater, David; Hartmann, Julia; Krashen, Daniel 13 2014 Weierstrass preparation and algebraic invariants. Zbl 1300.13019Harbater, David; Hartmann, Julia; Krashen, Daniel 3 2013 The local lifting problem for actions of finite groups on curves. Zbl 1239.14024Chinburg, Ted; Guralnick, Robert; Harbater, David 9 2011 Patching subfields of division algebras. Zbl 1228.12004Harbater, David; Hartmann, Julia; Krashen, Daniel 6 2011 Embedding problems and open subgroups. Zbl 1231.14019Harbater, David; Stevenson, Katherine 3 2011 Patching over fields. Zbl 1213.14052Harbater, David; Hartmann, Julia 19 2010 Permanence criteria for semi-free profinite groups. Zbl 1256.20028Bary-Soroker, Lior; Haran, Dan; Harbater, David 9 2010 Applications of patching to quadratic forms and central simple algebras. Zbl 1259.12003Harbater, David; Hartmann, Julia; Krashen, Daniel 34 2009 On function fields with free absolute Galois groups. Zbl 1192.12004Harbater, David 7 2009 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 12 2008 Correction and addendum to “Embedding problems with local conditions”. Zbl 1206.12002Harbater, David 3 2007 Local Galois theory in dimension two. Zbl 1104.12003Harbater, David; Stevenson, Katherine F. 17 2005 Patching and Galois theory. Zbl 1071.14029Harbater, David 21 2003 Abhyankar’s conjecture and embedding problems. Zbl 1075.14026Harbater, David 7 2003 Abhyankar’s local conjecture on fundamental groups. Zbl 1119.12300Harbater, David; Stevenson, Katherine F. 1 2003 Valued fields and covers in characteristic \(p\). (With an appendix by Robert Guralnick). Zbl 1020.14007Harbater, David; van der Put, Marius 5 2002 Embedding problems with local conditions. Zbl 1032.12007Harbater, David 6 2000 Fundamental groups of moduli and the Grothendieck-Teichmüller group. Zbl 0956.14013Harbater, David; Schneps, Leila 4 2000 Patching and thickening problems. Zbl 0944.14013Harbater, David; Stevenson, Katherine F. 15 1999 Embedding problems and adding branch points. Zbl 0992.14009Harbater, David 5 1999 Fields of definition of \(p\)-adic covers. Zbl 0905.14015Dèbes, Pierre; Harbater, David 3 1998 Approximating Galois orbits of dessins. Zbl 0898.14011Harbater, David; Schneps, Leila 2 1997 Fundamental groups and embedding problems in characteristic \(p\). Zbl 0858.14013Harbater, David 17 1995 Fundamental groups of curves in characteristic \(p\). Zbl 0871.14023Harbater, David 4 1995 Abhyankar’s conjecture on Galois groups over curves. Zbl 0805.14014Harbater, David 39 1994 Galois groups with prescribed ramification. Zbl 0815.11053Harbater, David 10 1994 Formal patching and adding branch points. Zbl 0790.14027Harbater, David 19 1993 Arithmetic discriminants and horizontal intersections. Zbl 0724.14015Harbater, David 1 1992 Potential theory over local and global fields. II. Zbl 0793.14013Harbater, David 1 1992 Potential theory over local and global fields. I. Zbl 0793.14012Harbater, David 1 1992 Strong Bertini theorems. Zbl 0744.14004Diaz, Steven; Harbater, David 11 1991 On purity of inertia. Zbl 0743.14014Harbater, David 2 1991 Global approximation in dimension two. Zbl 0707.13003Denef, Jan; Harbater, David 1 1990 Every curve is a Hurwitz space. Zbl 0712.14013Diaz, Steven; Donagi, Ron; Harbater, David 12 1989 Galois covers of an arithmetic surface. Zbl 0683.14004Harbater, David 5 1988 Galois coverings of the arithmetic line. Zbl 0627.12015Harbater, David 16 1987 Hurwitz families and arithmetic Galois groups. Zbl 0601.14023Coombes, Kevin; Harbater, David 23 1985 Convergent arithmetic power series. Zbl 0577.13017Harbater, David 10 1984 Mock covers and Galois extensions. Zbl 0559.14021Harbater, David 10 1984 Algebraic rings of arithmetic power series. Zbl 0578.13013Harbater, David 3 1984 Ordinary and supersingular covers in characteristic p. Zbl 0504.14019Harbater, David 2 1984 Moduli of p-covers of curves. Zbl 0471.14011Harbater, David 22 1980 Deformation theory and the tame fundamental group. Zbl 0461.14001Harbater, David 5 1980 all cited Publications top 5 cited Publications all top 5 Cited by 225 Authors 27 Harbater, David 10 Dèbes, Pierre 9 Hartmann, Julia 8 Kumar, Manish 8 Paran, Elad 7 Bary-Soroker, Lior 7 Parimala, Raman 7 Pries, Rachel J. 7 Stevenson, Katherine F. 6 Abhyankar, Shreeram Shankar 6 Bachmayr, Annette 6 Jarden, Moshe 6 Krashen, Daniel 6 Pop, Florian 6 Suresh, Venapally 5 Fehm, Arno 4 Brussel, Eric S. 4 Crespo Vicente, Teresa 4 Fried, Michael David 4 Haran, Dan 4 Obus, Andrew 4 Wewers, Stefan 3 Auel, Asher Natan 3 Bouw, Irene I. 3 Cadoret, Anna 3 Chinburg, Ted 3 Colliot-Thélène, Jean-Louis 3 Douai, Jean-Claude 3 Emsalem, Michel 3 Guralnick, Robert Michael 3 Hajto, Zbigniew 3 Hu, Yong 3 Izquierdo, Diego 3 Jones, John William 3 Kontogeorgis, Aristides I. 3 Maugeais, Sylvain 3 Moret-Bailly, Laurent 3 Neftin, Danny 3 Saïdi, Mohamed Réda 3 Tamagawa, Akio 3 Tengan, Eduardo 2 Ballico, Edoardo 2 Beckmann, Sybilla 2 Ben-Ezra, David El-Chai 2 Brendle, Tara E. 2 Buium, Alexandru 2 Chipchakov, Ivan D. 2 Clark, Peter Louis 2 Couveignes, Jean-Marc 2 Doan Trung Cuong 2 Eberhart, Ryan 2 Ellenberg, Jordan S. 2 Garibaldi, Skip 2 Harari, David 2 Hasson, Hilaf 2 Karanikolopoulos, Sotiris 2 König, Joachim 2 Legrand, François 2 Lochak, Pierre 2 Madan, Manohar L. 2 Mochizuki, Shinichi 2 Nguyêñ Duy Tân 2 Schneps, Leila 2 Shusterman, Mark 2 Voight, John Michael 2 Völklein, Helmut 2 Wolfart, Jürgen 2 Yasuda, Takehiko 2 Zalesskii, Pavel 1 André, Yves 1 Antieau, Benjamin 1 Barrett, Malik 1 Bayer-Fluckiger, Eva 1 Bertin, José 1 Bhaskhar, Nivedita 1 Biesel, Owen 1 Bleher, Frauke M. 1 Booher, Jeremy 1 Borisov, Lev A. 1 Borne, Niels 1 Bost, Jean-Benoît 1 Brewis, Louis Hugo 1 Broughton, S. Allen 1 Carocca, Angel 1 Cau, Orlando 1 Checcoli, Sara 1 Chen, William Yun 1 Chernousov, Vladimir I. 1 Conder, Marston D. E. 1 Coombes, Kevin R. 1 Corry, Scott 1 Costa Gonzáles, Antonio Félix 1 Dang, Huy 1 Das, Soumyadip 1 de Jong, Aise Johan 1 de Jong, Robin 1 Denef, Jan 1 DeWitt, Meghan 1 Diaz, Steven P. 1 Donagi, Ron Y. ...and 125 more Authors all top 5 Cited in 63 Serials 31 Journal of Algebra 22 Israel Journal of Mathematics 16 Transactions of the American Mathematical Society 15 Journal of Number Theory 10 Advances in Mathematics 10 Mathematische Annalen 10 Proceedings of the American Mathematical Society 8 Annales de l’Institut Fourier 8 Inventiones Mathematicae 8 Journal of Pure and Applied Algebra 8 Manuscripta Mathematica 6 Compositio Mathematica 6 Duke Mathematical Journal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematische Zeitschrift 5 Journal of Algebraic Geometry 5 Journal de Théorie des Nombres de Bordeaux 5 Annals of Mathematics. Second Series 4 Communications in Algebra 3 Journal für die Reine und Angewandte Mathematik 3 International Journal of Number Theory 2 Mathematics of Computation 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Functiones et Approximatio. Commentarii Mathematici 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Revista Matemática Iberoamericana 2 Bulletin of the American Mathematical Society. New Series 2 Finite Fields and their Applications 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Documenta Mathematica 1 Transformation Groups 1 Journal of Group Theory 1 LMS Journal of Computation and Mathematics 1 Algebraic & Geometric Topology 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Journal of Topology and Analysis 1 Science China. Mathematics 1 Afrika Matematika 1 Annals of \(K\)-Theory 1 Winter Braids Lecture Notes all top 5 Cited in 21 Fields 181 Algebraic geometry (14-XX) 103 Field theory and polynomials (12-XX) 97 Number theory (11-XX) 47 Group theory and generalizations (20-XX) 22 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 7 Functions of a complex variable (30-XX) 6 \(K\)-theory (19-XX) 6 Ordinary differential equations (34-XX) 5 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 2 Category theory; homological algebra (18-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year Wikidata Timeline