Boris Dubrovin

9.6k total citations · 2 hit papers
90 papers, 4.2k citations indexed

About

Boris Dubrovin is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Boris Dubrovin has authored 90 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Statistical and Nonlinear Physics, 49 papers in Geometry and Topology and 36 papers in Mathematical Physics. Recurrent topics in Boris Dubrovin's work include Nonlinear Waves and Solitons (51 papers), Algebraic structures and combinatorial models (25 papers) and Advanced Algebra and Geometry (17 papers). Boris Dubrovin is often cited by papers focused on Nonlinear Waves and Solitons (51 papers), Algebraic structures and combinatorial models (25 papers) and Advanced Algebra and Geometry (17 papers). Boris Dubrovin collaborates with scholars based in Italy, Russia and China. Boris Dubrovin's co-authors include S. P. Novikov, A. T. Fomenko, V. B. Matveev, А. Т. Фоменко, S P Novikov, Youjin Zhang, Marta Mazzocco, S. M. Natanzon, Тамара Грава and Christian Klein and has published in prestigious journals such as Nuclear Physics B, Journal of High Energy Physics and Communications in Mathematical Physics.

In The Last Decade

Boris Dubrovin

88 papers receiving 3.6k citations

Hit Papers

Modern Geometry — Methods and Applications 1981 2026 1996 2011 1984 1981 100 200 300 400 500
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. Modern Geometry — Methods and Applications
    1984 596 citations Boris Dubrovin, S. P. Novikov et al. profile →
  2. Theta functions and non-linear equations
    1981 432 citations Boris Dubrovin Russian Mathematical Surveys profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Boris Dubrovin Italy 30 2.9k 1.9k 1.4k 473 456 90 4.2k
S. P. Novikov Russia 21 1.7k 0.6× 973 0.5× 823 0.6× 360 0.8× 328 0.7× 69 2.8k
Alan Weinstein United States 29 1.7k 0.6× 1.7k 0.9× 2.1k 1.5× 517 1.1× 447 1.0× 61 4.2k
J. J. Duistermaat Netherlands 25 1.2k 0.4× 1.2k 0.6× 1.6k 1.2× 842 1.8× 255 0.6× 64 3.3k
Shlomo Sternberg United States 26 1.3k 0.5× 1.6k 0.9× 1.7k 1.3× 691 1.5× 444 1.0× 70 3.9k
Alexander Varchenko United States 30 1.5k 0.5× 3.0k 1.6× 1.5k 1.1× 763 1.6× 454 1.0× 168 4.2k
А. Т. Фоменко Russia 32 1.9k 0.7× 1.2k 0.7× 1.2k 0.9× 302 0.6× 153 0.3× 109 3.1k
Yu. I. Manin Russia 31 1.5k 0.5× 2.3k 1.2× 1.4k 1.1× 255 0.5× 983 2.2× 92 4.1k
Tetsuji Miwa Japan 39 5.0k 1.8× 4.5k 2.4× 1.5k 1.1× 386 0.8× 805 1.8× 98 7.2k
Willard Miller United States 33 3.5k 1.2× 903 0.5× 631 0.5× 938 2.0× 529 1.2× 153 5.8k
S. Sternberg United States 14 846 0.3× 1.6k 0.9× 1.5k 1.1× 654 1.4× 268 0.6× 25 3.1k

Countries citing papers authored by Boris Dubrovin

Since Specialization
Citations

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

Fields of papers citing papers by Boris Dubrovin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Boris Dubrovin

This figure shows the co-authorship network connecting the top 25 collaborators of Boris Dubrovin. A scholar is included among the top collaborators of Boris Dubrovin 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 Boris Dubrovin. Boris Dubrovin 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.
Dubrovin, Boris, et al.. (2024). Helix Structures in Quantum Cohomology of Fano Varieties. Lecture notes in mathematics.
2.
Dubrovin, Boris, Di Yang, & Don Zagier. (2023). Geometry and arithmetic of integrable hierarchies of KdV type. I. Integrality. Advances in Mathematics. 433. 109311–109311. 2 indexed citations
3.
Dubrovin, Boris, Siqi Liu, Di Yang, & Youjin Zhang. (2020). Hodge–GUE Correspondence and the Discrete KdV Equation. Communications in Mathematical Physics. 379(2). 461–490. 12 indexed citations
4.
Bertola, Marco, et al.. (2016). Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯g,n. Physica D Nonlinear Phenomena. 327. 30–57. 24 indexed citations
5.
Dubrovin, Boris, et al.. (2016). Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs. Advances in Mathematics. 293. 382–435. 26 indexed citations
6.
Dubrovin, Boris, Тамара Грава, & Christian Klein. (2016). On critical behaviour in generalized Kadomtsev–Petviashvili equations. Physica D Nonlinear Phenomena. 333. 157–170. 13 indexed citations
7.
Dubrovin, Boris, Тамара Грава, Christian Klein, & Antonio Moro. (2015). On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. Journal of Nonlinear Science. 25(3). 631–707. 16 indexed citations
8.
Dubrovin, Boris. (2008). Hamiltonian PDEs and Frobenius manifolds. Russian Mathematical Surveys. 63(6). 999–1010. 4 indexed citations
9.
Dubrovin, Boris, Siqi Liu, & Youjin Zhang. (2008). Frobenius manifolds and central invariants for the Drinfeld–Sokolov bihamiltonian structures. Advances in Mathematics. 219(3). 780–837. 38 indexed citations
10.
Dubrovin, Boris, Тамара Грава, & Christian Klein. (2008). On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation. Journal of Nonlinear Science. 19(1). 57–94. 82 indexed citations
11.
Dubrovin, Boris & Youjin Zhang. (1998). Extended affine Weyl groups and Frobenius manifolds. Compositio Mathematica. 111(2). 167–219. 49 indexed citations
12.
Dubrovin, Boris, А. Т. Фоменко, & S P Novikov. (1990). Modern Geometry―Methods and Applications: Part III: Introduction to Homology Theory. 33 indexed citations
13.
Dubrovin, Boris. (1990). Differential geometry of strongly integrable systems of hydrodynamic type. Functional Analysis and Its Applications. 24(4). 280–285. 19 indexed citations
14.
Dubrovin, Boris, Сергей Петрович Новиков, Анатолий Тимофеевич Фоменко, & R. G. Burns. (1985). The geometry and topology of manifolds. Springer eBooks. 21 indexed citations
15.
Dubrovin, Boris, Анатолий Тимофеевич Фоменко, Сергей Петрович Новиков, & R. G. Burns. (1984). The geometry of surfaces, transformation groups, and fields. Springer eBooks. 12 indexed citations
16.
Dubrovin, Boris & S. P. Novikov. (1984). Poisson brackets of hydrodynamic type. 279(2). 294–297. 113 indexed citations
17.
Dubrovin, Boris & S. P. Novikov. (1983). The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogoliubov-Whitham averaging method. 270(4). 781–785. 8 indexed citations
18.
Dubrovin, Boris. (1977). Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties. Functional Analysis and Its Applications. 11(4). 265–277. 58 indexed citations
19.
Dubrovin, Boris. (1975). Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials. Functional Analysis and Its Applications. 9(3). 215–223. 132 indexed citations
20.
Dubrovin, Boris & S P Novikov. (1974). PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION. JETP. 40. 1058. 51 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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