Dror Bar-Natan

Q: What Schools Are Affiliated With Dror Bar-Natan

Dror Bar-Natan is affiliated with the following schools: Princeton University, Tel Aviv University, University of Toronto, Harvard University

Dror Bar-Natan's AcademicInfluence.com Rankings

Dror Bar-Natan

Mathematics

#2575

World Rank

#3950

Historical Rank

#1012

USA Rank

Topology

#58

World Rank

#83

Historical Rank

#25

USA Rank

Measure Theory

#3233

World Rank

#3822

Historical Rank

#936

USA Rank

mathematics Degrees

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Mathematics

Why Is Dror Bar-Natan Influential?

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According to Wikipedia, Dror Bar-Natan is a professor at the University of Toronto Department of Mathematics, Canada. His main research interests include knot theory, finite type invariants, and Khovanov homology. Education Bar-Natan earned his B.Sc. in mathematics at Tel Aviv University in 1984. After performing his military service as a teacher, he went to study at Princeton University in 1987. He obtained his Ph.D. in mathematics from Princeton in 1991, under the direction of physicist Edward Witten.

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Dror Bar-Natan'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

On the Vassiliev knot invariants (1995) (993)
Khovanov's homology for tangles and cobordisms (2004) (497)
On Khovanov’s categorification of the Jones polynomial (2002) (495)
On the Melvin–Morton–Rozansky conjecture (1996) (223)
FAST KHOVANOV HOMOLOGY COMPUTATIONS (2006) (164)
VASSILIEV HOMOTOPY STRING LINK INVARIANTS (1995) (133)
Perturbative Aspects of the Chern-Simons Topological Quantum Field Theory (1991) (125)
PERTURBATIVE CHERN-SIMONS THEORY (1995) (122)
Problems on invariants of knots and 3-manifolds (2004) (118)
On associators and the Grothendieck-Teichmuller group, I (1996) (118)
Perturbative expansion of Chern-Simons theory with non-compact gauge group (1991) (101)
Two applications of elementary knot theory to Lie algebras and Vassiliev invariants (2002) (89)
Wheels, wheeling, and the Kontsevich integral of the Unknot (1997) (86)
NON-ASSOCIATIVE TANGLES (1995) (71)
The Århus integral of rational homology 3-spheres II: Invariance and universality (1998) (70)
The Karoubi envelope and Lee’s degeneration of Khovanov homology (2006) (69)
The Aarhus integral of rational homology 3-spheres I: A highly non trivial flat connection on S^3 (1997) (56)
A rational surgery formula for the LMO invariant (2000) (50)
The Århus integral of rational homology 3-spheres I: A highly non trivial flat connection on S3 (2002) (46)
Finite-type invariants of w-knotted objects, I: w-knots and the Alexander polynomial (2014) (44)
Solving the Bible Code Puzzle (1999) (39)
Lie algebras and the Four Color Theorem (1996) (36)
Vassiliev and Quantum Invariants of Braids (1996) (35)
The Århus integral of rational homology 3-spheres III: Relation with the Le–Murakami–Ohtsuki invariant (1998) (33)
Weights of Feynman diagrams and the Vassiliev knot invariants (1995) (31)
POLYNOMIAL INVARIANTS ARE POLYNOMIAL (1996) (28)
The Fundamental Theorem of Vassiliev Invariants (1997) (26)
Finite Type Invariants of w-Knotted Objects: From Alexander to Kashiwara and Vergne (2013) (25)
SOME COMPUTATIONS RELATED TO VASSILIEV INVARIANTS (2002) (23)
Finite type invariants of w-knotted objects II: tangles, foams and the Kashiwara–Vergne problem (2014) (21)
Pentagon and hexagon equations following Furusho (2010) (16)
On the Vassiliev invariants (1995) (16)
Balloons and Hoops and their Universal Finite-Type Invariant, BF Theory, and an Ultimate Alexander Invariant (2013) (16)
Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots (2009) (15)
Finite Type Invariants (2004) (12)
Meta-Monoids, Meta-Bicrossed Products, and the Alexander Polynomial (2013) (11)
HOMOMORPHIC EXPANSIONS FOR KNOTTED TRIVALENT GRAPHS (2011) (11)
AN ELEMENTARY PROOF THAT ALL SPANNING SURFACES OF A LINK ARE TUBE-EQUIVALENT (1998) (9)
Finite Type Invariants of w-Knotted Objects IV: Some Computations (2015) (9)
A polynomial time knot polynomial (2017) (9)
The Torah Codes: Puzzle and Solution (1998) (7)
Proof of a conjecture of Kulakova et al. related to the s12 weight system (2014) (5)
Perturbed Gaussian generating functions for universal knot invariants (2021) (5)
From astrology to topology via Feynman diagrams and Lie algebras (2000) (4)
Bracelets and the Goussarov Filtration of the Space of Knots (2001) (4)
Equidistant Letter Sequences in Tolstoy's "War and Peace" (1999) (4)
A NOTE ON THE UNITARITY PROPERTY OF THE GASSNER INVARIANT (2014) (4)
EXPANSIONS AND QUADRATICITY FOR GROUPS (2015) (4)
Khovanov homology for alternating tangles (2013) (3)
Ribbon 2–knots, 1 + 1 = 2 and Duflo’s theorem for arbitrary Lie algebras (2018) (2)
Over then Under Tangles (2020) (2)
Theårhus Invariant of Rational Homology 3-spheres I: a Highly Non Trivial Flat Connection on S (2)
Finite type invariants of w-knotted objects II: tangles, foams and the Kashiwara–Vergne problem (2016) (2)
A Correction to "Groups of Ribbon Knots" by Ka Yi Ng (2003) (1)
Balloons and Hoops and their Universal Finite-Type Invariant, BF Theory, and an Ultimate Alexander Invariant (2015) (1)
A Perturbed-Alexander Invariant (2022) (1)
An Unexpected Cyclic Symmetry of $$I{\mathfrak u}_n$$ (2020) (1)
BIBLIOGRAPHY OF VASSILIEV INVARIANTS (2013) (1)
On Raoul Bott’s “On Invariants of Manifold” (Commentary on [106], [107]) (2017) (0)
Algebraic Structures in Low-Dimensional Topology (2015) (0)
Non Commutative Gaussian Elimination-Program 5 (2009) (0)
The Fundamental Theorem of Vassiliev Invariants lecture notes by (1995) (0)
HOMOMORPHIC EXPANSIONS FOR KNOTTED TRIVALENT GRAPHS — FIXING AN ANOMALY (2010) (0)
ON A CONJECTURE RELATED TO THE sl 2 WEIGHT SYSTEM (2013) (0)
Two examples in noncommutative probability (1989) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 27 / 2005 Geometric Topology and Connections with Quantum Field Theory (2005) (0)
Algebraic Structures in Low-Dimensional Topology Organised (2015) (0)
A Determinant for W _ alex ? (2009) (0)
Book Review: Introduction to Vassiliev knot invariants (2013) (0)
PROPOSAL : KNOT THEORY AND VIRTUAL KNOT THEORY (2014) (0)
Quantum Topology and Hyperbolic Geometry Conference Nha Trang , May 13 – 17 , 2013 Trees and Wheels and Balloons and Hoops (2013) (0)
TOWARDS AN ELEMENTARY THEORY OF FINITE TYPE INVARIANTS OF INTEGRAL HOMOLOGY SPHERES (2014) (0)
FAST KHOVANOV HOMOLOGY COMPUTATIONS DROR BAR-NATAN (2006) (0)
Dimensions of Spaces of Finite Type Invariants of Virtual Knots August 26 , 2009 (2009) (0)
Arrow Diagrams and gl ( N )-Program Joint project (2009) (0)
Pensieve Header: the Free-lie Meta-group-action Structure For (2013) (0)
Dror Bar-natan: Mathematical Monoblog (2015) (0)
BANFF WORKSHOP PROPOSAL: KNOT THEORY AND VIRTUAL KNOT THEORY (2014) (0)
Dimensions of the Polyak algebra and other spaces related to virtual finite type invariants August 25 , 2009 (2009) (0)
Yarn Ball Knots and Faster Computations (2021) (0)

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What Schools Are Affiliated With Dror Bar-Natan?

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Dror Bar-Natan's Academic­Influence.com Rankings

Why Is Dror Bar-Natan Influential?

Dror Bar-Natan's Published Works

Published Works

Other Resources About Dror Bar-Natan

What Schools Are Affiliated With Dror Bar-Natan?

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Dror Bar-Natan's AcademicInfluence.com Rankings