David Harbater

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All published works

Action	Title	Year	Authors
+	Bounding cohomology classes over semiglobal fields	2023	David Harbater Julia Hartmann Daniel Krashen
+ PDF Chat	Local-Global Principles for Constant Reductive Groups over Semi-Global Fields	2022	Jean-Louis Colliot-Thélène David Harbater Julia Hartmann Daniel Krashen R. Parimala V. Suresh
+	Bounding cohomology classes over semiglobal fields	2022	David Harbater Julia Hartmann Daniel Krashen
+ PDF Chat	ADELIC DOUBLE COSETS OVER SEMI-GLOBAL FIELDS	2021	David Harbater
+ PDF Chat	The differential Galois group of the rational function field	2021	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+ PDF Chat	A comparison between obstructions to local-global principles over semi-global fields	2021	David Harbater Julia Hartmann Valentijn Karemaker Florian Pop
+	Adelic double cosets over semi-global fields	2021	David Harbater
+	Local-global principles for constant reductive groups over semi-global fields	2021	Jean-Louis Colliot-Thélène David Harbater Julia Hartmann Daniel Krashen R. Parimala V. Suresh
+	Free differential Galois groups	2020	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+ PDF Chat	Local–global principles for curves over semi‐global fields	2020	David Harbater Daniel Krashen Alena Pirutka
+	Local-global principles for tori over arithmetic curves	2020	Jean-Louis Colliot-Thélène David Harbater Julia Hartmann Daniel Krashen R. Parimala Venapally Suresh
+	The differential Galois group of the rational function field	2020	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+ PDF Chat	LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY	2020	Annette Bachmayr David Harbater Julia Hartmann Florian Pop
+	The differential Galois group of the rational function field	2020	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+	Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields	2019	Jean-Louis Colliot-Thélène David Harbater Julia Hartmann Daniel Krashen R. Parimala V. Suresh
+ PDF Chat	Local-global Galois theory of arithmetic function fields	2019	David Harbater Julia Hartmann Daniel Krashen R. Parimala Venapally Suresh
+	Pre-Galois theory	2019	David Harbater Pierre Dèbes
+	Pre-Galois Theory	2019	David Harbater Pierre Dèbes
+	Free differential Galois groups	2019	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+	A comparison between obstructions to local-global principles over semiglobal fields	2019	David Harbater Julia Hartmann Valentijn Karemaker Florian Pop
+	Free differential Galois groups	2019	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+	A comparison between obstructions to local-global principles over semiglobal fields	2019	David Harbater Julia Hartmann Valentijn Karemaker Florian Pop
+	Pre-Galois theory	2019	David Harbater Pierre Dèbes
+	Differential embedding problems over Laurent series fields	2018	Annette Bachmayr David Harbater Julia Hartmann
+ PDF Chat	Differential Embedding Problems over Complex Function Fields	2018	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+ PDF Chat	Abhyankar’s conjectures in Galois theory: Current status and future directions	2017	David Harbater Andrew Obus Rachel Pries Katherine Stevenson
+	Differential Embedding Problems over Laurent series fields	2017	Annette Bachmayr David Harbater Julia Hartmann
+	Local-global Galois theory of arithmetic function fields	2017	David Harbater Julia Hartmann Daniel Krashen R. Parimala V. Suresh
+	Local-Global Principles for Zero-Cycles on Homogeneous Spaces over Arithmetic Function Fields	2017	Jean-Louis Colliot-Thélène David Harbater Julia Hartmann Daniel Krashen R. Parimala V. Suresh
+	Differential Embedding Problems over Laurent series fields	2017	Annette Bachmayr David Harbater Julia Hartmann
+	Global Oort groups	2016	Ted Chinburg Robert M. Guralnick David Harbater
+ PDF Chat	Differential Galois groups over Laurent series fields	2016	Annette Bachmayr David Harbater Julia Hartmann
+	Differential Embedding Problems over Complex Function Fields	2016	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer
+	Global Oort Groups	2015	Ted Chinburg Robert M. Guralnick David Harbater
+ PDF Chat	Local-global principles for torsors over arithmetic curves	2015	David Harbater Julia Hartmann Daniel Krashen
+ PDF Chat	Refinements to Patching and Applications to Field Invariants	2015	David Harbater Julia Hartmann Daniel Krashen
+	Global Oort Groups	2015	Ted Chinburg Robert M. Guralnick David Harbater
+	Shreeram Abhyankar (July 22, 1930–November 2, 2012)	2014	S. B. Mulay Avinash Sathaye Yvonne Abhyankar Chandrajit Bajaj Steven Dale Cutkosky David Harbater William Heinzer David Shannon David Mumford Dinesh S. Thakur
+	Abhyankar's conjectures in Galois theory: Current status and future directions	2014	David Harbater Andrew Obus Rachel Pries Katherine Stevenson
+ PDF Chat	Local-global principles for Galois cohomology	2014	David Harbater Julia Hartmann Daniel Krashen
+	Galois Groups over Laurent Series Fields {preliminary version{	2014	David Harbater Julia Hartmann Annette Maier
+	Abhyankar's conjectures in Galois theory: Current status and future directions	2014	David Harbater Andrew Obus Rachel Pries Katherine L. Stevenson
+ PDF Chat	Weierstrass preparation and algebraic invariants	2012	David Harbater Julia Hartmann Daniel Krashen
+	Local-global principles for Galois cohomology	2012	David Harbater Julia Hartmann Daniel Krashen
+	Division algebras and patching	2012	David Harbater Julia Hartmann
+	Local-global principles for Galois cohomology	2012	David Harbater Julia Hartmann Daniel Krashen
+	Weierstrass preparation and algebraic invariants	2011	David Harbater Julia Hartmann Daniel Krashen
+ PDF Chat	The local lifting problem for actions of finite groups on curves	2011	Ted Chinburg Robert M. Guralnick David Harbater
+	Local-global principles for torsors over arithmetic curves	2011	David Harbater Julia Hartmann Daniel Krashen
+	Weierstrass preparation and algebraic invariants	2011	David Harbater Julia Hartmann Daniel Krashen
+	Patching subfields of division algebras	2010	David Harbater Julia Hartmann Daniel Krashen
+ PDF Chat	Embedding problems and open subgroups	2010	David Harbater Katherine L. Stevenson
+	Patching over fields	2010	David Harbater Julia Hartmann
+ PDF Chat	Permanence criteria for semi-free profinite groups	2010	Lior Bary‐Soroker Dan Haran David Harbater
+ PDF Chat	Applications of patching to quadratic forms and central simple algebras	2009	David Harbater Julia Hartmann Daniel Krashen
+	The local lifting problem for actions of finite groups on curves	2009	Ted Chinburg Robert M. Guralnick David Harbater
+	Local Galois theory in dimension two: Second edition	2009	David Harbater Katherine Stevenson
+	Patching subfields of division algebras	2009	David Harbater Julia Hartmann Daniel Krashen
+	Embedding problems and open subgroups	2009	David Harbater Katherine Stevenson
+	On function fields with free absolute Galois groups	2009	David Harbater
+ PDF Chat	Oort groups and lifting problems	2008	Ted Chinburg Robert M. Guralnick David Harbater
+	Correction and addendum to “embedding problems with local conditions”	2007	David Harbater
+	Patching over fields	2007	David Harbater Julia Hartmann
+	Patching over fields	2007	David Harbater Julia Hartmann
+	On function fields with free absolute Galois groups	2006	David Harbater
+	Local Galois theory in dimension two	2005	David Harbater Katherine Stevenson
+	Abhyankar’s Local Conjecture on Fundamental Groups	2004	David Harbater Katherine Stevenson
+	Abhyankars Conjecture and embedding problems	2003	David Harbater
+	Patching and Galois Theory	2003	David Harbater
+	Valued fields and covers in characteristic 𝑝	2002	David Harbater Marius van der Put Robert M. Guralnick
+	Embedding problems with local conditions	2000	David Harbater
+ PDF Chat	Fundamental groups of moduli and the Grothendieck-Teichmüller group	2000	David Harbater Leila Schneps
+	Patching and Thickening Problems	1999	David Harbater Katherine Stevenson
+	Fields of definition of p-adic covers	1998	Pierre Dèbes David Harbater
+	Geometric Galois Actions	1997	Leila Schneps Leila Schneps Alexandre Grothendieck Alexandre Grothendieck Leila Schneps Frans J. Oort Takayuki Oda Jürgen Wolfart Florian Pop Yasutaka Ihara
+	Approximating Galois orbits of dessins	1997	David Harbater Leila Schneps
+	Fundamental Groups of Curves in Characteristic p	1995	David Harbater
+	Fundamental groups and embedding problems in characteristic 𝑝	1995	David Harbater
+	Abhyankar's conjecture on Galois groups over curves	1994	David Harbater
+	Galois groups with prescribed ramification	1994	David Harbater
+	Formal Patching and Adding Branch Points	1993	David Harbater
+	Potential theory over local and global fields, I	1992	David Harbater
+	Potential theory over local and global fields, II	1992	David Harbater
+ PDF Chat	On Purity of Inertia	1991	David Harbater
+	Arithmetic discriminants and horizontal intersections	1991	David Harbater
+ PDF Chat	Strong Bertini Theorems	1991	Steven Diaz David Harbater
+ PDF Chat	On purity of inertia	1991	David Harbater
+ PDF Chat	Strong Bertini theorems	1991	Steven Diaz David Harbater
+	Global approximation in dimension two	1990	Jan Denef David Harbater
+	Every curve is a Hurwitz space	1989	Steven Diaz Ron Donagi David Harbater
+	Galois Covers of an Arithmetic Surface	1988	David Harbater
+	Galois coverings of the arithmetic line	1987	David Harbater
+	Hurwitz families and arithmetic Galois groups	1985	Kevin R. Coombes David Harbater
+	Algebraic rings of arithmetic power series	1984	David Harbater
+	Mock covers and Galois extensions	1984	David Harbater
+ PDF Chat	Ordinary and supersingular covers in characteristic<i>p</i>	1984	David Harbater
+	Convergent Arithmetic Power Series	1984	David Harbater
+ PDF Chat	Deformation Theory and the Tame Fundamental Group	1980	David Harbater
+ PDF Chat	Deformation theory and the tame fundamental group	1980	David Harbater
+	Moduli of p-covers of curves	1980	David Harbater

Common Coauthors

Coauthor	Papers Together
Julia Hartmann	42
Daniel Krashen	22
Annette Bachmayr	13
Michael Wibmer	8
Robert M. Guralnick	7
R. Parimala	7
Katherine Stevenson	7
Ted Chinburg	6
Florian Pop	5
Jean-Louis Colliot-Thélène	5
V. Suresh	5
Pierre Dèbes	4
Andrew Obus	3
Valentijn Karemaker	3
Steven Diaz	3
Leila Schneps	3
Rachel Pries	3
Katherine L. Stevenson	2
Venapally Suresh	2
Hiroaki Nakamura	1
David Shannon	1
Frans J. Oort	1
Takayuki Oda	1
Jean-Pierre Serre	1
Alexandre Grothendieck	1
William Heinzer	1
David Mumford	1
Pierre Lochak	1
Marius van der Put	1
S. B. Mulay	1
Bernard Teissier	1
Jan Denef	1
Chandrajit Bajaj	1
Steven Dale Cutkosky	1
Ron Donagi	1
Dinesh S. Thakur	1
Lior Bary‐Soroker	1
Jürgen Wolfart	1
Annette Maier	1
Alena Pirutka	1
Yasutaka Ihara	1
Kevin R. Coombes	1
Dan Haran	1
Yvonne Abhyankar	1
Avinash Sathaye	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	�tale Galois covers of affine smooth curves	1995	Florian Pop	22
+ PDF Chat	Applications of patching to quadratic forms and central simple algebras	2009	David Harbater Julia Hartmann Daniel Krashen	19
+ PDF Chat	Local-global principles for torsors over arithmetic curves	2015	David Harbater Julia Hartmann Daniel Krashen	17
+ PDF Chat	Algebraic approximation of structures over complete local rings	1969	Michael Artin	16
+	Patching over fields	2010	David Harbater Julia Hartmann	15
+	Fundamental groups and embedding problems in characteristic 𝑝	1995	David Harbater	14
+	Convergent Arithmetic Power Series	1984	David Harbater	13
+	Abhyankar's conjecture on Galois groups over curves	1994	David Harbater	12
+	Patching and Galois Theory	2003	David Harbater	11
+	Galois coverings of the arithmetic line	1987	David Harbater	11
+ PDF Chat	Local-global principles for Galois cohomology	2014	David Harbater Julia Hartmann Daniel Krashen	11
+ PDF Chat	Patching and local-global principles for homogeneous spaces over function fields of $p$-adic curves	2012	Jean-Louis Colliot-Thélène R. Parimala Venapally Suresh	11
+	Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes	2002	Jean-Louis Colliot-Thélène Manuel Ojanguren R. Parimala	10
+ PDF Chat	Local-to-global extensions of representations of fundamental groups	1986	Nicholas M. Katz	10
+	Formal Patching and Adding Branch Points	1993	David Harbater	10
+	Moduli of p-covers of curves	1980	David Harbater	10
+	Patching and Thickening Problems	1999	David Harbater Katherine Stevenson	9
+	Introduction to resolution of singularities	1975	Joseph Lipman	9
+	Rev�tements de la droite affine en caract�ristiquep>0 et conjecture d'Abhyankar	1994	M. Raynaud	9
+ PDF Chat	Weierstrass preparation and algebraic invariants	2012	David Harbater Julia Hartmann Daniel Krashen	8
+	Embedding Problems Over Large Fields	1996	Florian Pop	8
+	Éléments de géométrie algébrique : III. Étude cohomologique des faisceaux cohérents, Seconde partie	1961	Alexander Grothendieck	8
+	Mock covers and Galois extensions	1984	David Harbater	8
+ PDF Chat	Théorie des Topos et Cohomologie Etale des Schémas	1972	J. L. Verdier B. Saint-Donat Alexandre Grothendieck J.-L. Verdier	8
+	Local Galois theory in dimension two	2005	David Harbater Katherine Stevenson	8
+	Introduction to resolution of singularities	2010	Mircea Mustaţă	7
+	Period and index in the Brauer group of an arithmetic surface (with an appendix by Daniel Krashen)	2007	Max Lieblich	7
+ PDF Chat	Regular split embedding problems over complete valued fields	1998	Dan Haran Moshe Jarden	7
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	7
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	7
+ PDF Chat	On the deformation of Artin-Schreier to Kummer	1989	Tsutomu Sekiguchi Frans J. Oort Noriyuki Suwa	6
+	On Solvable Extentions of Algebraic Number Fields	1953	Kenkichi Iwasawa	6
+	Galois groups and complete domains	1999	Tamara R. Lefcourt	6
+	Hurwitz families and arithmetic Galois groups	1985	Kevin R. Coombes David Harbater	6
+ PDF Chat	None	1998	Barry G. Green Michel Matignon	6
+ PDF Chat	Deformation theory and the tame fundamental group	1980	David Harbater	6
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	6
+	Fields of definition of function fields and hurwitz families — groups as galois groups	1977	Michael D. Fried	6
+	Éléments de Géométrie algébrique	1960	Alexandre Grothendieck Jean Dieudonné	6
+	The period-index problem for the Brauer group of an algebraic surface	2004	A. J. de Jong	6
+	Revêtements étales et groupe fondamental (SGA 1)	2002	Alexander Grothendieck Michèle Raynaud	6
+ PDF Chat	The local lifting problem for dihedral groups	2006	Irene I. Bouw Stefan Wewers	6
+	Hopf Algebraic Approach to Picard-Vessiot Theory	2009	Katsutoshi Amano Akira Masuoka Mitsuhiro Takeuchi	5
+ PDF Chat	Differential Embedding Problems over Complex Function Fields	2018	Annette Bachmayr David Harbater Julia Hartmann Michael Wibmer	5
+	Lois de réciprocité supérieures et points rationnels	2015	Jean-Louis Colliot-Thélène R. Parimala V. Suresh	5
+ PDF Chat	Rational Connectedness and Galois Covers of the Projective Line	2000	Jean-Louis Colliot-Thélène	5
+	Embedding problems with local conditions	2000	David Harbater	5
+	On the Inverse Problem in Differential Galois Theory	2002	Julia Hartmann	5
+	Galois theory on the line in nonzero characteristic	1992	Shreeram S. Abhyankar	5
+	Groups as Galois Groups	1996	Helmut Völklein	5