Dror Bar-Natan

3.0k total citations · 1 hit paper
35 papers, 1.3k citations indexed

About

Dror Bar-Natan is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Dror Bar-Natan has authored 35 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Geometry and Topology, 21 papers in Mathematical Physics and 9 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Dror Bar-Natan's work include Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Advanced Combinatorial Mathematics (9 papers). Dror Bar-Natan is often cited by papers focused on Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Advanced Combinatorial Mathematics (9 papers). Dror Bar-Natan collaborates with scholars based in Canada, United States and Israel. Dror Bar-Natan's co-authors include Stavros Garoufalidis, Edward Witten, Dylan P. Thurston, Lev Rozansky, R. J. Lawrence, Brendan D. McKay, Maya Bar‐Hillel, Gil Kalai, Jason Fulman and Louis H. Kauffman and has published in prestigious journals such as Communications in Mathematical Physics, Inventiones mathematicae and Bulletin of the American Mathematical Society.

In The Last Decade

Dror Bar-Natan

32 papers receiving 1.1k citations

Hit Papers

On the Vassiliev knot invariants 1995 2026 2005 2015 1995 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On the Vassiliev knot invariants
    1995 496 citations Dror Bar-Natan Topology profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Dror Bar-Natan Canada 17 1.1k 928 494 144 103 35 1.3k
Robert E. Gompf United States 16 1.5k 1.3× 1.2k 1.3× 365 0.7× 185 1.3× 91 0.9× 42 1.6k
Stavros Garoufalidis United States 16 678 0.6× 479 0.5× 307 0.6× 75 0.5× 93 0.9× 71 810
Jim Hoste United States 17 1.1k 1.0× 712 0.8× 477 1.0× 221 1.5× 43 0.4× 38 1.2k
Tomasz Mrowka United States 20 1.4k 1.2× 1.2k 1.2× 266 0.5× 165 1.1× 91 0.9× 31 1.5k
Lev Rozansky United States 17 803 0.7× 595 0.6× 215 0.4× 59 0.4× 218 2.1× 34 913
Vladimir Turaev France 17 773 0.7× 677 0.7× 217 0.4× 137 1.0× 34 0.3× 48 878
Paul Kirk United States 13 522 0.5× 501 0.5× 130 0.3× 98 0.7× 36 0.3× 43 631
Jun Murakami Japan 13 700 0.6× 449 0.5× 311 0.6× 50 0.3× 44 0.4× 33 815
Thang T. Q. Lê United States 15 780 0.7× 545 0.6× 331 0.7× 50 0.3× 42 0.4× 48 896
Leonid Polterovich Israel 22 1.2k 1.1× 983 1.1× 122 0.2× 158 1.1× 9 0.1× 77 1.4k

Countries citing papers authored by Dror Bar-Natan

Since Specialization
Citations

This map shows the geographic impact of Dror Bar-Natan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dror Bar-Natan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dror Bar-Natan more than expected).

Fields of papers citing papers by Dror Bar-Natan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dror Bar-Natan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dror Bar-Natan. The network helps show where Dror Bar-Natan may publish in the future.

Co-authorship network of co-authors of Dror Bar-Natan

This figure shows the co-authorship network connecting the top 25 collaborators of Dror Bar-Natan. A scholar is included among the top collaborators of Dror Bar-Natan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dror Bar-Natan. Dror Bar-Natan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bar-Natan, Dror, et al.. (2024). Correction to: Finite type invariants of w-knotted objects II: tangles, foams and the Kashiwara–Vergne problem. Mathematische Annalen. 389(3). 3257–3259. 1 indexed citations
2.
Bar-Natan, Dror, et al.. (2023). Over then under tangles. Journal of Knot Theory and Its Ramifications. 32(8).
3.
Bar-Natan, Dror, et al.. (2023). An Unexpected Cyclic Symmetry of $$I{\mathfrak u}_n$$. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 93(1). 71–76. 1 indexed citations
4.
Bar-Natan, Dror & A. Stoimenow. (2021). The Fundamental Theorem of Vassiliev Invariants. 101–134.
5.
Bar-Natan, Dror, et al.. (2020). Ribbon 2–knots, 1 + 1 = 2 and Duflo’s theoremfor arbitrary Lie algebras. Algebraic & Geometric Topology. 20(7). 3733–3760. 3 indexed citations
6.
Bar-Natan, Dror, et al.. (2018). A polynomial time knot polynomial. Proceedings of the American Mathematical Society. 147(1). 377–397. 5 indexed citations
7.
Bar-Natan, Dror, et al.. (2014). Proof of a conjecture of Kulakova et al. related to thesl2weight system. European Journal of Combinatorics. 45. 65–70. 4 indexed citations
8.
Bar-Natan, Dror & S. Duzhin. (2013). BIBLIOGRAPHY OF VASSILIEV INVARIANTS. 12(23).
9.
Bar-Natan, Dror, et al.. (2013). META-MONOIDS, META-BICROSSED PRODUCTS, AND THE ALEXANDER POLYNOMIAL. Journal of Knot Theory and Its Ramifications. 22(10). 1350058–1350058. 4 indexed citations
10.
Bar-Natan, Dror. (2007). FAST KHOVANOV HOMOLOGY COMPUTATIONS. Journal of Knot Theory and Its Ramifications. 16(3). 243–255. 66 indexed citations
11.
Bar-Natan, Dror. (2005). Khovanov’s homology for tangles and cobordisms. Geometry & Topology. 9(3). 1443–1499. 162 indexed citations
12.
Bar-Natan, Dror, Stavros Garoufalidis, Lev Rozansky, & Dylan P. Thurston. (2004). The Århus integral of rational homology 3-spheres III: Relation with the Le–Murakami–Ohtsuki invariant. Selecta Mathematica. 10(3). 305–324. 16 indexed citations
13.
Bar-Natan, Dror, Stavros Garoufalidis, Lev Rozansky, & Dylan P. Thurston. (2002). The Århus integral of rational homology 3-spheres II: Invariance and universality. Selecta Mathematica. 8(3). 341–371. 25 indexed citations
14.
Bar-Natan, Dror, Stavros Garoufalidis, Lev Rozansky, & Dylan P. Thurston. (2002). The Århus integral of rational homology 3-spheres I: A highly non trivial flat connection on S 3. Selecta Mathematica. 8(3). 315–339. 27 indexed citations
15.
Bar-Natan, Dror, Jason Fulman, & Louis H. Kauffman. (1998). AN ELEMENTARY PROOF THAT ALL SPANNING SURFACES OF A LINK ARE TUBE-EQUIVALENT. Journal of Knot Theory and Its Ramifications. 7(7). 873–879. 3 indexed citations
16.
Bar-Natan, Dror. (1998). On associators and the Grothendieck-Teichmuller group, I. Selecta Mathematica. 4(2). 183–212. 33 indexed citations
17.
Bar-Natan, Dror. (1997). Lie algebras and the Four Color Theorem. COMBINATORICA. 17(1). 43–52. 16 indexed citations
18.
Bar-Natan, Dror & Stavros Garoufalidis. (1996). On the Melvin-Morton-Rozansky conjecture. Inventiones mathematicae. 125(1). 103–133. 108 indexed citations
19.
Bar-Natan, Dror. (1995). VASSILIEV HOMOTOPY STRING LINK INVARIANTS. Journal of Knot Theory and Its Ramifications. 4(1). 13–32. 62 indexed citations
20.
Bar-Natan, Dror. (1995). On the Vassiliev knot invariants. Topology. 34(2). 423–472. 496 indexed citations breakdown →

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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