David Harbater

Q: What Schools Are Affiliated With David Harbater

David Harbater is affiliated with the following schools: Massachusetts Institute of Technology, Brandeis University, University of Pennsylvania, Harvard University

David Harbater's AcademicInfluence.com Rankings

David Harbater

Mathematics

#854

World Rank

#1512

Historical Rank

#375

USA Rank

Measure Theory

#4296

World Rank

#5060

Historical Rank

#1196

USA Rank

mathematics Degrees

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Mathematics

Why Is David Harbater Influential?

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According to Wikipedia, David Harbater is an American mathematician at the University of Pennsylvania, well known for his work in Galois theory, algebraic geometry and arithmetic geometry. Early life and education Harbater was born in New York City and attended Stuyvesant High School, where he was on the math team. After graduating in 1970, he entered Harvard University.

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David Harbater's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Abhyankar's conjecture on Galois groups over curves (1994) (118)
Applications of patching to quadratic forms and central simple algebras (2008) (109)
Galois coverings of the arithmetic line (1987) (80)
Hurwitz families and arithmetic Galois groups (1985) (69)
Patching over fields (2007) (64)
Moduli of p-covers of curves (1980) (63)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Formal patching and adding branch points (1993) (50)
Local-global principles for torsors over arithmetic curves (2011) (47)
Patching and Galois Theory (2003) (45)
FUNDAMENTAL GROUPS AND EMBEDDING PROBLEMS IN CHARACTERISTIC p (2007) (45)
Local Galois theory in dimension two (2005) (44)
Patching and Thickening Problems (1999) (43)
Mock covers and Galois extensions (1984) (38)
Local-global principles for Galois cohomology (2012) (35)
Oort groups and lifting problems (2007) (33)
Strong Bertini theorems (1991) (33)
Fundamental groups of moduli and the Grothendieck-Teichmüller group (2000) (32)
CONVERGENT ARITHMETIC POWER SERIES (1984) (29)
Every curve is a hurwitz space (1989) (28)
The local lifting problem for actions of finite groups on curves (2009) (25)
Galois Covers of an Arithmetic Surface (1988) (22)
Abhyankar's conjectures in Galois theory: Current status and future directions (2014) (21)
Patching subfields of division algebras (2009) (21)
Refinements to patching and applications to field invariants (2014) (20)
Fundamental Groups of Curves in Characteristic p (1995) (19)
Permanence criteria for semi-free profinite groups (2008) (18)
On function fields with free absolute Galois groups (2006) (17)
GALOIS GROUPS WITH PRESCRIBED RAMIFICATION (2007) (16)
Weierstrass preparation and algebraic invariants (2011) (15)
Abhyankars Conjecture and embedding problems (2003) (15)
Embedding problems with local conditions (2000) (15)
Deformation theory and the tame fundamental group (1980) (14)
Local-global principles for tori over arithmetic curves (2011) (12)
Differential Galois groups over Laurent series fields (2015) (11)
Differential Embedding Problems over Complex Function Fields (2016) (9)
LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY (2017) (8)
Global Oort Groups (2015) (7)
Algebraic rings of arithmetic power series (1984) (7)
RIEMANN’S EXISTENCE THEOREM (2015) (7)
Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields (2017) (7)
FIELDS OF DEFINITION OF P-ADIC COVERS (1998) (7)
Differential embedding problems over Laurent series fields (2017) (7)
Correction and addendum to “embedding problems with local conditions” (2007) (6)
Local-Global Principles for Constant Reductive Groups over Semi-Global Fields (2021) (6)
Local-global Galois theory of arithmetic function fields (2017) (6)
Free differential Galois groups (2019) (5)
EMBEDDING PROBLEMS AND OPEN SUBGROUPS (2009) (5)
Geometric Galois Actions: Approximating Galois orbits of dessins (1997) (4)
Abhyankar’s Local Conjecture on Fundamental Groups (2004) (4)
A comparison between obstructions to local-global principles over semi-global fields (2019) (4)
Valued fields and covers in characteristic p (2014) (4)
1 Embedding Problems and Adding Branch Points (2007) (3)
ORDINARY AND SUPERSINGULAR COVERS IN CHARACTERISTIC p (1984) (3)
The differential Galois group of the rational function field (2020) (3)
Arithmetic and Differential Galois Groups (2007) (3)
On purity of inertia (1991) (2)
Arithmetic discriminants and horizontal intersections (1991) (2)
Global approximation in dimension two (1990) (2)
Local–global principles for curves over semi‐global fields (2020) (2)
Potential theory over local and global fields, II (1992) (1)
Local Galois theory in dimension two: Second edition (2009) (1)
Generalizations of Abhyankar ’ s Conjecture An appendix to Desingularization and modular Galois theory by S . S . (2014) (0)
Adelic double cosets over semi-global fields (2021) (0)
Bounding cohomology classes over semiglobal fields (2022) (0)
ORTHOGONAL EPSILON CONSTANTS FOR TAME ACTIONS OF FINITE GROUPS ON SURFACES (2002) (0)
Local-global principles for étale cohomology (2010) (0)
Pre-Galois theory (2019) (0)
Division algebras and patching (2012) (0)
A G ] 1 6 Ju l 2 01 7 ABHYANKAR ’ S CONJECTURES IN GALOIS THEORY : CURRENT STATUS AND FUTURE DIRECTIONS (0)
A C ] 6 F eb 2 01 8 DIFFERENTIAL EMBEDDING PROBLEMS OVER LAURENT SERIES FIELDS (0)
Fundamental Group in Nonzero Characteristic (2006) (0)
THE MAPPING CLASS GROUP AND SPECIAL LOCI IN MODULI OF CURVES (2005) (0)
Weierstrass preparation and algebraic invariants (2012) (0)
Galois structure of de Rham cohomology (2017) (0)
Galois Groups over Laurent Series Fields {preliminary version{ (2014) (0)
R A ] 6 O ct 2 01 7 DIFFERENTIAL EMBEDDING PROBLEMS OVER COMPLEX FUNCTION FIELDS (0)

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What Schools Are Affiliated With David Harbater?

David Harbater is affiliated with the following schools:

David Harbater's Academic­Influence.com Rankings