Mikhail Khovanov

5.7k total citations · 3 hit papers
57 papers, 2.3k citations indexed

About

Mikhail Khovanov is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Mikhail Khovanov has authored 57 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Geometry and Topology, 43 papers in Mathematical Physics and 25 papers in Algebra and Number Theory. Recurrent topics in Mikhail Khovanov's work include Algebraic structures and combinatorial models (45 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Advanced Topics in Algebra (24 papers). Mikhail Khovanov is often cited by papers focused on Algebraic structures and combinatorial models (45 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Advanced Topics in Algebra (24 papers). Mikhail Khovanov collaborates with scholars based in United States, United Kingdom and Colombia. Mikhail Khovanov's co-authors include Aaron D. Lauda, Lev Rozansky, Igor Frenkel, Paul Seidel, Joseph Bernstein, Ben Elias, Catharina Stroppel, Greg Kuperberg, Alexander Kirillov and Richard Thomas and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Mikhail Khovanov

50 papers receiving 2.0k citations

Hit Papers

A categorification of the Jones polynomial 2000 2026 2008 2017 2000 2009 2008 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. A categorification of the Jones polynomial
    2000 447 citations Mikhail Khovanov profile →
  2. A diagrammatic approach to categorification of quantum groups I
    2009 243 citations Mikhail Khovanov, Aaron D. Lauda Representation Theory of the American Mathematical Society profile →
  3. Matrix factorizations and link homology
    2008 208 citations Mikhail Khovanov et al. Fundamenta Mathematicae profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mikhail Khovanov United States 23 2.2k 1.7k 771 649 245 57 2.3k
Vladimir Turaev France 17 773 0.3× 677 0.4× 217 0.3× 119 0.2× 58 0.2× 48 878
Henri Gillet United States 20 1.5k 0.7× 1.2k 0.7× 120 0.2× 377 0.6× 101 0.4× 43 1.7k
Thang T. Q. Lê United States 15 780 0.3× 545 0.3× 331 0.4× 189 0.3× 83 0.3× 48 896
Jun Murakami Japan 13 700 0.3× 449 0.3× 311 0.4× 173 0.3× 78 0.3× 33 815
Stavros Garoufalidis United States 16 678 0.3× 479 0.3× 307 0.4× 56 0.1× 68 0.3× 71 810
Andrzej Skowroński Poland 32 3.7k 1.7× 1.3k 0.7× 445 0.6× 3.3k 5.1× 1.4k 5.8× 180 3.8k
Robert E. Gompf United States 16 1.5k 0.7× 1.2k 0.7× 365 0.5× 30 0.0× 63 0.3× 42 1.6k
Rüdiger Göbel Germany 17 986 0.4× 498 0.3× 193 0.3× 898 1.4× 94 0.4× 139 1.3k
Tomasz Mrowka United States 20 1.4k 0.6× 1.2k 0.7× 266 0.3× 23 0.0× 50 0.2× 31 1.5k
Volodymyr Mazorchuk Sweden 22 1.6k 0.7× 808 0.5× 256 0.3× 1.2k 1.8× 452 1.8× 163 1.7k

Countries citing papers authored by Mikhail Khovanov

Since Specialization
Citations

This map shows the geographic impact of Mikhail Khovanov'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 Mikhail Khovanov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mikhail Khovanov more than expected).

Fields of papers citing papers by Mikhail Khovanov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mikhail Khovanov. 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 Mikhail Khovanov. The network helps show where Mikhail Khovanov may publish in the future.

Co-authorship network of co-authors of Mikhail Khovanov

This figure shows the co-authorship network connecting the top 25 collaborators of Mikhail Khovanov. A scholar is included among the top collaborators of Mikhail Khovanov 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 Mikhail Khovanov. Mikhail Khovanov 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.
Khovanov, Mikhail. (2024). Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series. Journal of Pure and Applied Algebra. 228(11). 107689–107689.
2.
Gustafson, Paul, et al.. (2023). Automata and one-dimensional TQFTs with defects. Letters in Mathematical Physics. 113(5).
3.
Khovanov, Mikhail & Radmila Sazdanović. (2023). Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category. Fundamenta Mathematicae. 264(1). 1–20. 3 indexed citations
4.
Khovanov, Mikhail, et al.. (2023). Anchored foams and annular homology. Algebraic & Geometric Topology. 23(7). 3129–3204.
5.
Khovanov, Mikhail, et al.. (2020). A Faithful Braid Group Action on the Stable Category of Tricomplexes. Symmetry Integrability and Geometry Methods and Applications. 7 indexed citations
6.
Khovanov, Mikhail, et al.. (2016). The Hopf algebra of odd symmetric functions. 2 indexed citations
7.
Gukov, Sergei, et al.. (2016). Physics and Mathematics of Link Homology. Contemporary mathematics - American Mathematical Society. 8 indexed citations
8.
Khovanov, Mikhail, et al.. (2015). A categorification of the positive half of quantum 𝑔𝑙(𝑚|1). Transactions of the American Mathematical Society. 369(3). 1627–1664. 2 indexed citations
9.
Khovanov, Mikhail & Radmila Sazdanović. (2015). A Categorification of One-Variable Polynomials. Discrete Mathematics & Theoretical Computer Science. DMTCS Proceedings, 27th...(Proceedings).
10.
Etingof, Pavel, Mikhail Khovanov, & Alistair Savage. (2014). Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday on perspectives in representation theory : May 12-17, 2012, Yale University, New Haven, CT. American Mathematical Society eBooks.
11.
Beliakova, Anna, Mikhail Khovanov, & Aaron D. Lauda. (2012). A categorification of the Casimir of quantum sl(2). Advances in Mathematics. 230(3). 1442–1501. 1 indexed citations
12.
Khovanov, Mikhail & Aaron D. Lauda. (2009). A diagrammatic approach to categorification of quantum groups I. Representation Theory of the American Mathematical Society. 13(14). 309–347. 243 indexed citations breakdown →
13.
Khovanov, Mikhail, et al.. (2009). A brief review of abelian categorifications. Theory and applications of categories. 22. 479–508. 4 indexed citations
14.
Khovanov, Mikhail & Richard Thomas. (2007). Braid cobordisms, triangulated categories, and flag varieties. Homology Homotopy and Applications. 9(2). 19–94. 18 indexed citations
15.
Khovanov, Mikhail, Volodymyr Mazorchuk, & Catharina Stroppel. (2007). A categorification of integral Specht modules. Proceedings of the American Mathematical Society. 136(4). 1163–1169. 8 indexed citations
16.
Khovanov, Mikhail. (2006). Link homology and Frobenius extensions. Fundamenta Mathematicae. 190. 179–190. 45 indexed citations
17.
Khovanov, Mikhail & Paul Seidel. (2001). Quivers, Floer cohomology, and braid group actions. Journal of the American Mathematical Society. 15(1). 203–271. 106 indexed citations
18.
Khovanov, Mikhail, et al.. (2001). A Category for the Adjoint Representation. Journal of Algebra. 246(2). 514–542. 33 indexed citations
19.
Bernstein, Joseph, Igor Frenkel, & Mikhail Khovanov. (2000). A Categorification of the Temperley-Lieb Algebra and Schur Quotients of U(sl2) via Projective and. arXiv (Cornell University). 2 indexed citations
20.
Bernstein, Joseph, Igor Frenkel, & Mikhail Khovanov. (1999). A categorification of the Temperley-Lieb algebra and Schur quotients of $ U({\frak sl}_2) $ via projective and Zuckerman functors. Selecta Mathematica. 5(2). 199–241. 74 indexed citations

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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