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Author ID: harbater.david Recent zbMATH articles by "Harbater, David"
Published as: Harbater, David; Harbater, D.
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Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 623 times in 332 Documents Cited by Year
Applications of patching to quadratic forms and central simple algebras. Zbl 1259.12003
Harbater, David; Hartmann, Julia; Krashen, Daniel
52
2009
Abhyankar’s conjecture on Galois groups over curves. Zbl 0805.14014
Harbater, David
50
1994
Moduli of p-covers of curves. Zbl 0471.14011
Harbater, David
32
1980
Patching over fields. Zbl 1213.14052
Harbater, David; Hartmann, Julia
28
2010
Local-global principles for torsors over arithmetic curves. Zbl 1348.11036
Harbater, David; Hartmann, Julia; Krashen, Daniel
27
2015
Patching and Galois theory. Zbl 1071.14029
Harbater, David
26
2003
Hurwitz families and arithmetic Galois groups. Zbl 0601.14023
Coombes, Kevin; Harbater, David
24
1985
Local Galois theory in dimension two. Zbl 1104.12003
Harbater, David; Stevenson, Katherine F.
23
2005
Fundamental groups and embedding problems in characteristic \(p\). Zbl 0858.14013
Harbater, David
22
1995
Formal patching and adding branch points. Zbl 0790.14027
Harbater, David
21
1993
Galois coverings of the arithmetic line. Zbl 0627.12015
Harbater, David
19
1987
Patching and thickening problems. Zbl 0944.14013
Harbater, David; Stevenson, Katherine F.
17
1999
Every curve is a Hurwitz space. Zbl 0712.14013
Diaz, Steven; Donagi, Ron; Harbater, David
17
1989
Strong Bertini theorems. Zbl 0744.14004
Diaz, Steven; Harbater, David
17
1991
Local-global principles for Galois cohomology. Zbl 1332.11046
Harbater, David; Hartmann, Julia; Krashen, Daniel
17
2014
Mock covers and Galois extensions. Zbl 0559.14021
Harbater, David
14
1984
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
11
2011
Differential Galois groups over Laurent series fields. Zbl 1348.12003
Bachmayr, Annette; Harbater, David; Hartmann, Julia
11
2016
Abhyankar’s conjectures in Galois theory: current status and future directions. Zbl 1432.14029
Harbater, David; Obus, Andrew; Pries, Rachel; Stevenson, Katherine
11
2018
Galois groups with prescribed ramification. Zbl 0815.11053
Harbater, David
10
1994
Convergent arithmetic power series. Zbl 0577.13017
Harbater, David
10
1984
Refinements to patching and applications to field invariants. Zbl 1386.14101
Harbater, David; Hartmann, Julia; Krashen, Daniel
10
2015
Fundamental groups of moduli and the Grothendieck-Teichmüller group. Zbl 0956.14013
Harbater, David; Schneps, Leila
9
2000
Patching subfields of division algebras. Zbl 1228.12004
Harbater, David; Hartmann, Julia; Krashen, Daniel
9
2011
Permanence criteria for semi-free profinite groups. Zbl 1256.20028
Bary-Soroker, Lior; Haran, Dan; Harbater, David
9
2010
Embedding problems with local conditions. Zbl 1032.12007
Harbater, David
8
2000
On function fields with free absolute Galois groups. Zbl 1192.12004
Harbater, David
8
2009
Abhyankar’s conjecture and embedding problems. Zbl 1075.14026
Harbater, David
8
2003
Galois covers of an arithmetic surface. Zbl 0683.14004
Harbater, David
7
1988
Differential embedding problems over complex function fields. Zbl 1436.12006
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
7
2018
Fundamental groups of curves in characteristic \(p\). Zbl 0871.14023
Harbater, David
5
1995
Embedding problems and adding branch points. Zbl 0992.14009
Harbater, David
5
1999
Valued fields and covers in characteristic \(p\). (With an appendix by Robert Guralnick). Zbl 1020.14007
Harbater, David; van der Put, Marius
5
2002
Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035
Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V.
5
2019
Approximating Galois orbits of dessins. Zbl 0898.14011
Harbater, David; Schneps, Leila
4
1997
Deformation theory and the tame fundamental group. Zbl 0461.14001
Harbater, David
4
1980
Differential embedding problems over Laurent series fields. Zbl 1431.12004
Bachmayr, Annette; Harbater, David; Hartmann, Julia
4
2018
Local-global principles for tori over arithmetic curves. Zbl 1468.11097
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally
4
2020
Weierstrass preparation and algebraic invariants. Zbl 1300.13019
Harbater, David; Hartmann, Julia; Krashen, Daniel
4
2013
Free differential Galois groups. Zbl 1481.12008
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
4
2021
Correction and addendum to “Embedding problems with local conditions”. Zbl 1206.12002
Harbater, David
3
2007
Fields of definition of \(p\)-adic covers. Zbl 0905.14015
Dèbes, Pierre; Harbater, David
3
1998
Algebraic rings of arithmetic power series. Zbl 0578.13013
Harbater, David
3
1984
Ordinary and supersingular covers in characteristic p. Zbl 0504.14019
Harbater, David
2
1984
Embedding problems and open subgroups. Zbl 1231.14019
Harbater, David; Stevenson, Katherine
2
2011
On purity of inertia. Zbl 0743.14014
Harbater, David
2
1991
Riemann’s existence theorem. Zbl 1358.01033
Harbater, David
2
2016
Global Oort groups. Zbl 1406.20007
Chinburg, Ted; Guralnick, Robert; Harbater, David
2
2017
Desingularization and modular Galois theory (with an appendix by David Harbater). Zbl 1037.12004
Abhyankar, Shreeram S.
2
2002
Large fields in differential Galois theory. Zbl 1481.12007
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian
2
2021
The differential Galois group of the rational function field. Zbl 1461.12003
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
2
2021
Local-global Galois theory of arithmetic function fields. Zbl 1451.11126
Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally
2
2019
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1
1990
Arithmetic discriminants and horizontal intersections. Zbl 0724.14015
Harbater, David
1
1992
Abhyankar’s local conjecture on fundamental groups. Zbl 1119.12300
Harbater, David; Stevenson, Katherine F.
1
2003
Potential theory over local and global fields. I. Zbl 0793.14012
Harbater, David
1
1992
Potential theory over local and global fields. II. Zbl 0793.14013
Harbater, David
1
1992
Local-global principles for constant reductive groups over semi-global fields. Zbl 1502.14059
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V.
1
2022
Local-global principles for curves over semi-global fields. Zbl 1478.11060
Harbater, David; Krashen, Daniel; Pirutka, Alena
1
2021
Local-global principles for constant reductive groups over semi-global fields. Zbl 1502.14059
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V.
1
2022
Free differential Galois groups. Zbl 1481.12008
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
4
2021
Large fields in differential Galois theory. Zbl 1481.12007
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian
2
2021
The differential Galois group of the rational function field. Zbl 1461.12003
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
2
2021
Local-global principles for curves over semi-global fields. Zbl 1478.11060
Harbater, David; Krashen, Daniel; Pirutka, Alena
1
2021
Local-global principles for tori over arithmetic curves. Zbl 1468.11097
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally
4
2020
Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035
Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V.
5
2019
Local-global Galois theory of arithmetic function fields. Zbl 1451.11126
Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally
2
2019
Abhyankar’s conjectures in Galois theory: current status and future directions. Zbl 1432.14029
Harbater, David; Obus, Andrew; Pries, Rachel; Stevenson, Katherine
11
2018
Differential embedding problems over complex function fields. Zbl 1436.12006
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael
7
2018
Differential embedding problems over Laurent series fields. Zbl 1431.12004
Bachmayr, Annette; Harbater, David; Hartmann, Julia
4
2018
Global Oort groups. Zbl 1406.20007
Chinburg, Ted; Guralnick, Robert; Harbater, David
2
2017
Differential Galois groups over Laurent series fields. Zbl 1348.12003
Bachmayr, Annette; Harbater, David; Hartmann, Julia
11
2016
Riemann’s existence theorem. Zbl 1358.01033
Harbater, David
2
2016
Local-global principles for torsors over arithmetic curves. Zbl 1348.11036
Harbater, David; Hartmann, Julia; Krashen, Daniel
27
2015
Refinements to patching and applications to field invariants. Zbl 1386.14101
Harbater, David; Hartmann, Julia; Krashen, Daniel
10
2015
Local-global principles for Galois cohomology. Zbl 1332.11046
Harbater, David; Hartmann, Julia; Krashen, Daniel
17
2014
Weierstrass preparation and algebraic invariants. Zbl 1300.13019
Harbater, David; Hartmann, Julia; Krashen, Daniel
4
2013
The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
11
2011
Patching subfields of division algebras. Zbl 1228.12004
Harbater, David; Hartmann, Julia; Krashen, Daniel
9
2011
Embedding problems and open subgroups. Zbl 1231.14019
Harbater, David; Stevenson, Katherine
2
2011
Patching over fields. Zbl 1213.14052
Harbater, David; Hartmann, Julia
28
2010
Permanence criteria for semi-free profinite groups. Zbl 1256.20028
Bary-Soroker, Lior; Haran, Dan; Harbater, David
9
2010
Applications of patching to quadratic forms and central simple algebras. Zbl 1259.12003
Harbater, David; Hartmann, Julia; Krashen, Daniel
52
2009
On function fields with free absolute Galois groups. Zbl 1192.12004
Harbater, David
8
2009
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
Correction and addendum to “Embedding problems with local conditions”. Zbl 1206.12002
Harbater, David
3
2007
Local Galois theory in dimension two. Zbl 1104.12003
Harbater, David; Stevenson, Katherine F.
23
2005
Patching and Galois theory. Zbl 1071.14029
Harbater, David
26
2003
Abhyankar’s conjecture and embedding problems. Zbl 1075.14026
Harbater, David
8
2003
Abhyankar’s local conjecture on fundamental groups. Zbl 1119.12300
Harbater, David; Stevenson, Katherine F.
1
2003
Valued fields and covers in characteristic \(p\). (With an appendix by Robert Guralnick). Zbl 1020.14007
Harbater, David; van der Put, Marius
5
2002
Desingularization and modular Galois theory (with an appendix by David Harbater). Zbl 1037.12004
Abhyankar, Shreeram S.
2
2002
Fundamental groups of moduli and the Grothendieck-Teichmüller group. Zbl 0956.14013
Harbater, David; Schneps, Leila
9
2000
Embedding problems with local conditions. Zbl 1032.12007
Harbater, David
8
2000
Patching and thickening problems. Zbl 0944.14013
Harbater, David; Stevenson, Katherine F.
17
1999
Embedding problems and adding branch points. Zbl 0992.14009
Harbater, David
5
1999
Fields of definition of \(p\)-adic covers. Zbl 0905.14015
Dèbes, Pierre; Harbater, David
3
1998
Approximating Galois orbits of dessins. Zbl 0898.14011
Harbater, David; Schneps, Leila
4
1997
Fundamental groups and embedding problems in characteristic \(p\). Zbl 0858.14013
Harbater, David
22
1995
Fundamental groups of curves in characteristic \(p\). Zbl 0871.14023
Harbater, David
5
1995
Abhyankar’s conjecture on Galois groups over curves. Zbl 0805.14014
Harbater, David
50
1994
Galois groups with prescribed ramification. Zbl 0815.11053
Harbater, David
10
1994
Formal patching and adding branch points. Zbl 0790.14027
Harbater, David
21
1993
Arithmetic discriminants and horizontal intersections. Zbl 0724.14015
Harbater, David
1
1992
Potential theory over local and global fields. I. Zbl 0793.14012
Harbater, David
1
1992
Potential theory over local and global fields. II. Zbl 0793.14013
Harbater, David
1
1992
Strong Bertini theorems. Zbl 0744.14004
Diaz, Steven; Harbater, David
17
1991
On purity of inertia. Zbl 0743.14014
Harbater, David
2
1991
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1
1990
Every curve is a Hurwitz space. Zbl 0712.14013
Diaz, Steven; Donagi, Ron; Harbater, David
17
1989
Galois covers of an arithmetic surface. Zbl 0683.14004
Harbater, David
7
1988
Galois coverings of the arithmetic line. Zbl 0627.12015
Harbater, David
19
1987
Hurwitz families and arithmetic Galois groups. Zbl 0601.14023
Coombes, Kevin; Harbater, David
24
1985
Mock covers and Galois extensions. Zbl 0559.14021
Harbater, David
14
1984
Convergent arithmetic power series. Zbl 0577.13017
Harbater, David
10
1984
Algebraic rings of arithmetic power series. Zbl 0578.13013
Harbater, David
3
1984
Ordinary and supersingular covers in characteristic p. Zbl 0504.14019
Harbater, David
2
1984
Moduli of p-covers of curves. Zbl 0471.14011
Harbater, David
32
1980
Deformation theory and the tame fundamental group. Zbl 0461.14001
Harbater, David
4
1980
all top 5

Cited by 305 Authors

34 Harbater, David
13 Dèbes, Pierre
13 Hartmann, Julia
11 Parimala, Raman
10 Bachmayr, Annette
9 Kumar, Manish
9 Paran, Elad
9 Suresh, Venapally
8 Krashen, Daniel
8 Pries, Rachel J.
7 Bary-Soroker, Lior
7 Pop, Florian
7 Stevenson, Katherine F.
6 Abhyankar, Shreeram Shankar
6 Fehm, Arno
6 Jarden, Moshe
6 Wibmer, Michael
5 Colliot-Thélène, Jean-Louis
5 Fried, Michael David
5 Legrand, François
5 Neftin, Danny
5 Obus, Andrew
5 Yasuda, Takehiko
4 Brussel, Eric S.
4 Chinburg, Ted
4 Crespo Vicente, Teresa
4 Das, Soumyadip
4 Haran, Dan
4 Hu, Yong
4 Izquierdo, Diego
4 Kontogeorgis, Aristides I.
4 Saïdi, Mohamed Réda
4 Tamagawa, Akio
4 Tengan, Eduardo
4 Tonini, Fabio
4 Wewers, Stefan
3 Ben-Ezra, David El-Chai
3 Booher, Jeremy
3 Bouw, Irene I.
3 Cadoret, Anna
3 Chen, William Yun
3 Douai, Jean-Claude
3 Emsalem, Michel
3 Guralnick, Robert Michael
3 Hajto, Zbigniew
3 Jones, John William
3 König, Joachim
3 Langer, Adrian
3 Madan, Manohar L.
3 Maugeais, Sylvain
3 Moret-Bailly, Laurent
3 Otabe, Shusuke
3 Voight, John Michael
2 Auel, Asher Natan
2 Ballico, Edoardo
2 Beckmann, Sybilla
2 Bhaskhar, Nivedita
2 Bleher, Frauke M.
2 Bost, Jean-Benoît
2 Brendle, Tara E.
2 Broughton, S. Allen
2 Buium, Alexandru
2 Carocca, Angel
2 Chipchakov, Ivan D.
2 Clark, Peter Louis
2 Costa Gonzáles, Antonio Félix
2 Dang, Huy
2 Doan Trung Cuong
2 Eberhart, Ryan
2 Ellenberg, Jordan Stuart
2 Garibaldi, Skip
2 Gille, Philippe
2 Harari, David
2 Hasson, Hilaf
2 Izquierdo, Milagros
2 Karanikolopoulos, Sotiris
2 Katz, Nicholas Michael
2 Lochak, Pierre
2 Lubotzky, Alexander
2 Mehmeti, Vlerë
2 Mochizuki, Shinichi
2 Nakamura, Hiroaki
2 Nguyêñ Duy Tân
2 Parameswaran, A. J.
2 Rapinchuk, Andrei S.
2 Rapinchuk, Igor A.
2 Scheiderer, Claus
2 Schneps, Leila
2 Shusterman, Mark
2 Stix, Jakob
2 Tsouknidas, Ioannis
2 Vishne, Uzi
2 Völklein, Helmut
2 Wolfart, Jürgen
2 Wu, Zhengyao
2 Zalesskii, Pavel
2 Zhang, Lei
1 Abney-McPeek, Fiona
1 André, Yves
1 Antieau, Benjamin
...and 205 more Authors
all top 5

Cited in 85 Serials

37 Journal of Algebra
26 Israel Journal of Mathematics
21 Transactions of the American Mathematical Society
15 Journal of Number Theory
14 Mathematische Annalen
13 Advances in Mathematics
13 Journal of Pure and Applied Algebra
12 Proceedings of the American Mathematical Society
9 Annales de l’Institut Fourier
9 Manuscripta Mathematica
8 Inventiones Mathematicae
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Compositio Mathematica
6 Duke Mathematical Journal
6 Mathematische Zeitschrift
6 Journal de Théorie des Nombres de Bordeaux
6 Annals of Mathematics. Second Series
5 Communications in Algebra
5 Journal of Algebraic Geometry
4 Journal für die Reine und Angewandte Mathematik
4 Oberwolfach Reports
4 Algebra & Number Theory
3 Bulletin of the London Mathematical Society
3 Journal of the London Mathematical Society. Second Series
3 Finite Fields and their Applications
3 Journal of the Institute of Mathematics of Jussieu
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 Memoirs of the American Mathematical Society
2 Osaka Journal of Mathematics
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 International Journal of Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Selecta Mathematica. New Series
2 Documenta Mathematica
2 Journal of Topology
2 Albanian Journal of Mathematics
2 Annals of \(K\)-Theory
1 The Mathematical Intelligencer
1 American Journal of Mathematics
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 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Journal of the American Mathematical Society
1 Journal of the Ramanujan Mathematical Society
1 Sugaku Expositions
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Geometric and Functional Analysis. GAFA
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 Transformation Groups
1 Journal of Group Theory
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Algebraic & Geometric Topology
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Groups, Geometry, and Dynamics
1 Involve
1 Journal of Topology and Analysis
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Afrika Matematika
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Research in Number Theory
1 Winter Braids Lecture Notes
1 Graduate Journal of Mathematics

Citations by Year

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