Marco Bertola

2.0k total citations
68 papers, 945 citations indexed

About

Marco Bertola is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Marco Bertola has authored 68 papers receiving a total of 945 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Statistical and Nonlinear Physics, 31 papers in Mathematical Physics and 25 papers in Applied Mathematics. Recurrent topics in Marco Bertola's work include Nonlinear Waves and Solitons (27 papers), Mathematical functions and polynomials (20 papers) and Random Matrices and Applications (17 papers). Marco Bertola is often cited by papers focused on Nonlinear Waves and Solitons (27 papers), Mathematical functions and polynomials (20 papers) and Random Matrices and Applications (17 papers). Marco Bertola collaborates with scholars based in Canada, Italy and United States. Marco Bertola's co-authors include Alexander Tovbis, J. Harnad, Bertrand Eynard, M. Gekhtman, Benoît Eynard, Jacek Szmigielski, G. A. Él, Boris Dubrovin, Cyril Billet and Stéphane Randoux and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Nuclear Physics B.

In The Last Decade

Marco Bertola

60 papers receiving 914 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Marco Bertola Canada 19 566 337 261 224 205 68 945
Ovidiu Costin United States 17 352 0.6× 353 1.0× 181 0.7× 279 1.2× 128 0.6× 81 997
A. V. Kitaev Russia 18 769 1.4× 272 0.8× 474 1.8× 394 1.8× 222 1.1× 58 1.2k
Alexander Its United States 17 682 1.2× 588 1.7× 397 1.5× 500 2.2× 600 2.9× 48 1.6k
Bertrand Eynard France 15 340 0.6× 380 1.1× 454 1.7× 91 0.4× 155 0.8× 25 914
J. Harnad Canada 26 1.0k 1.8× 362 1.1× 600 2.3× 169 0.8× 127 0.6× 83 1.6k
Andrei Kapaev Russia 12 374 0.7× 115 0.3× 240 0.9× 130 0.6× 98 0.5× 27 546
Mikio Sato Japan 12 389 0.7× 387 1.1× 423 1.6× 133 0.6× 149 0.7× 34 1.1k
Galliano Valent France 17 368 0.7× 205 0.6× 169 0.6× 390 1.7× 44 0.2× 72 938
Gerrit Heckman Netherlands 10 390 0.7× 689 2.0× 709 2.7× 282 1.3× 83 0.4× 16 1.2k
Igor Krasovsky United Kingdom 15 113 0.2× 315 0.9× 93 0.4× 159 0.7× 344 1.7× 28 620

Countries citing papers authored by Marco Bertola

Since Specialization
Citations

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

Fields of papers citing papers by Marco Bertola

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marco Bertola

This figure shows the co-authorship network connecting the top 25 collaborators of Marco Bertola. A scholar is included among the top collaborators of Marco Bertola 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 Marco Bertola. Marco Bertola 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.
Bertola, Marco, et al.. (2025). ∂¯-problem for the focusing nonlinear Schrödinger equation and soliton shielding. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 481(2310).
2.
Bertola, Marco, et al.. (2024). Integrable operators, ∂ ― -problems, KP and NLS hierarchy. Nonlinearity. 37(8). 85008–85008. 2 indexed citations
3.
Bertola, Marco, et al.. (2024). Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure. Nonlinearity. 37(3). 35013–35013.
4.
Bertola, Marco, J. Harnad, & Jacques Hurtubise. (2023). Hamiltonian structure of rational isomonodromic deformation systems. Journal of Mathematical Physics. 64(8). 2 indexed citations
5.
Bertola, Marco, Robert Jenkins, & Alexander Tovbis. (2023). Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic backgrounds. Nonlinearity. 36(7). 3622–3660. 20 indexed citations
6.
Bertola, Marco, et al.. (2023). Critical Measures on Higher Genus Riemann Surfaces. Communications in Mathematical Physics. 404(1). 51–95. 2 indexed citations
7.
Bertola, Marco, et al.. (2023). Soliton Shielding of the Focusing Nonlinear Schrödinger Equation. Physical Review Letters. 130(12). 127201–127201. 11 indexed citations
8.
Bertola, Marco, Alexander Katsevich, & Alexander Tovbis. (2022). On the spectral properties of the Hilbert transform operator on multi-intervals. Journal of Spectral Theory. 12(2). 339–379.
9.
Bertola, Marco. (2022). Nonlinear steepest descent approach to orthogonality on elliptic curves. Journal of Approximation Theory. 276. 105717–105717. 4 indexed citations
10.
Bertola, Marco. (2021). Correction to: The Dependence on the Monodromy Data of the Isomonodromic Tau Function. Communications in Mathematical Physics. 381(3). 1445–1461. 3 indexed citations
11.
Bertola, Marco & D. Korotkin. (2020). Hodge and Prym Tau Functions, Strebel Differentials and Combinatorial Model of $${\mathcal {M}}_{g,n}$$. Communications in Mathematical Physics. 378(2). 1279–1341. 1 indexed citations
12.
Billet, Cyril, G. A. Él, Alexander Tovbis, et al.. (2017). Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. Physical Review Letters. 119(3). 33901–33901. 100 indexed citations
13.
Bertola, Marco, G. A. Él, & Alexander Tovbis. (2016). Rogue Waves In Multiphase Solutions Of The Focusing Nonlinear Schrödinger Equation. Journal of International Crisis and Risk Communication Research. 29 indexed citations
14.
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
15.
Bertola, Marco, et al.. (2010). The Riemann-Hilbert approach to the transition between the gap probabilities from the Pearcey to the Airy process. arXiv (Cornell University). 4 indexed citations
16.
Bertola, Marco, et al.. (2008). Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Advances in Mathematics. 220(1). 154–218. 20 indexed citations
17.
Bertola, Marco, et al.. (2008). Regularity of a vector potential problem and its spectral curve. Journal of Approximation Theory. 161(1). 353–370. 11 indexed citations
18.
Bertola, Marco. (2003). Bilinear semiclassical moment functionals and their integral representation. Journal of Approximation Theory. 121(1). 71–99. 19 indexed citations
19.
Bertola, Marco. (2000). Frobenius manifold structure on orbit space of Jacobi groups; Part I. Differential Geometry and its Applications. 13(1). 19–41. 25 indexed citations
20.
Bertola, Marco, et al.. (1998). Lie triple systems and warped products. SHILAP Revista de lepidopterología. 5 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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