Frédéric Hélein

2.2k total citations · 1 hit paper
26 papers, 1.1k citations indexed

About

Frédéric Hélein is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Frédéric Hélein has authored 26 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 9 papers in Geometry and Topology and 6 papers in Computational Theory and Mathematics. Recurrent topics in Frédéric Hélein's work include Geometric Analysis and Curvature Flows (12 papers), Geometry and complex manifolds (8 papers) and Advanced Mathematical Modeling in Engineering (5 papers). Frédéric Hélein is often cited by papers focused on Geometric Analysis and Curvature Flows (12 papers), Geometry and complex manifolds (8 papers) and Advanced Mathematical Modeling in Engineering (5 papers). Frédéric Hélein collaborates with scholars based in France and United States. Frédéric Hélein's co-authors include Fabrice Béthuel, Haı̈m Brezis, Pascal Romon, Christian Brouder, Jean‐Michel Coron and Yuxin Ge and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Geometry and Mathematische Annalen.

In The Last Decade

Frédéric Hélein

24 papers receiving 973 citations

Hit Papers

Ginzburg-Landau Vortices 1994 2026 2004 2015 1994 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. Ginzburg-Landau Vortices
    1994 526 citations Fabrice Béthuel, Haı̈m Brezis et al. Birkhäuser Boston eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frédéric Hélein France 13 605 343 290 277 205 26 1.1k
Tristan Rivière Switzerland 22 1.1k 1.8× 419 1.2× 450 1.6× 383 1.4× 99 0.5× 71 1.4k
Robert L. Jerrard Canada 18 349 0.6× 373 1.1× 222 0.8× 102 0.4× 244 1.2× 45 885
Fabrice Béthuel France 19 1.1k 1.7× 786 2.3× 697 2.4× 339 1.2× 451 2.2× 58 2.0k
Étienne Sandier France 16 369 0.6× 382 1.1× 333 1.1× 70 0.3× 172 0.8× 41 1.0k
Peter Wittwer Switzerland 17 187 0.3× 276 0.8× 188 0.6× 60 0.2× 324 1.6× 50 762
Didier Smets France 19 765 1.3× 502 1.5× 463 1.6× 98 0.4× 318 1.6× 50 1.2k
Michał Kowalczyk Chile 22 840 1.4× 436 1.3× 637 2.2× 187 0.7× 285 1.4× 78 1.4k
M. S. P. Eastham United Kingdom 13 417 0.7× 823 2.4× 547 1.9× 100 0.4× 399 1.9× 88 1.5k
Daniel Peralta‐Salas Spain 12 147 0.2× 158 0.5× 86 0.3× 160 0.6× 295 1.4× 78 652
Serge Tabachnikov United States 21 286 0.5× 746 2.2× 159 0.5× 908 3.3× 643 3.1× 129 1.5k

Countries citing papers authored by Frédéric Hélein

Since Specialization
Citations

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

Fields of papers citing papers by Frédéric Hélein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frédéric Hélein

This figure shows the co-authorship network connecting the top 25 collaborators of Frédéric Hélein. A scholar is included among the top collaborators of Frédéric Hélein 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 Frédéric Hélein. Frédéric Hélein 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.
Hélein, Frédéric. (2022). Dynamical mechanisms for Kaluza–Klein theories. Letters in Mathematical Physics. 112(5). 1 indexed citations
2.
Béthuel, Fabrice, Haı̈m Brezis, & Frédéric Hélein. (2017). Ginzburg-Landau Vortices. CERN Document Server (European Organization for Nuclear Research). 21 indexed citations
3.
4.
Hélein, Frédéric. (2015). First integrals for nonlinear dispersive equations. Transactions of the American Mathematical Society. 368(10). 6939–6978.
5.
Brouder, Christian, et al.. (2014). A smooth introduction to the wavefront set. Journal of Physics A Mathematical and Theoretical. 47(44). 443001–443001. 30 indexed citations
6.
Hélein, Frédéric & Pascal Romon. (2005). Hamiltonian stationary tori in the complex projective plane. Proceedings of the London Mathematical Society. 90(2). 472–496. 17 indexed citations
7.
Hélein, Frédéric. (2004). A Weierstrass representation for Willmore surfaces. 1 indexed citations
8.
Hélein, Frédéric. (2004). Removability of singularities of harmonic maps into pseudo-riemannian manifolds. Annales de la faculté des sciences de Toulouse Mathématiques. 13(1). 45–71. 4 indexed citations
9.
Hélein, Frédéric, et al.. (2004). Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl. Advances in Theoretical and Mathematical Physics. 8(3). 565–601. 27 indexed citations
10.
Hélein, Frédéric, et al.. (2004). The Notion of Observable in the Covariant Hamiltonian Formalism for the Calculus of Variations with Several Variables. Advances in Theoretical and Mathematical Physics. 8(4). 735–777. 12 indexed citations
11.
Hélein, Frédéric. (2002). Harmonic Maps, Conservation Laws and Moving Frames. Cambridge University Press eBooks. 193 indexed citations
12.
Hélein, Frédéric & Pascal Romon. (2002). Hamiltonian stationary Lagrangian surfaces in $\mathbb{C}^2$. Communications in Analysis and Geometry. 10(1). 79–126. 45 indexed citations
13.
Hélein, Frédéric. (2001). Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems. Birkhäuser Basel eBooks. 17 indexed citations
14.
Hélein, Frédéric & Pascal Romon. (2000). Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions. Commentarii Mathematici Helvetici. 75(4). 668–680. 28 indexed citations
15.
Hélein, Frédéric. (1998). Willmore immersions and loop groups. Journal of Differential Geometry. 50(2). 29 indexed citations
16.
Béthuel, Fabrice, Haı̈m Brezis, & Frédéric Hélein. (1994). Ginzburg-Landau Vortices. Birkhäuser Boston eBooks. 526 indexed citations breakdown →
17.
Hélein, Frédéric. (1994). Inégalité isopérimétrique et calibration. Annales de l’institut Fourier. 44(4). 1211–1218. 2 indexed citations
18.
Hélein, Frédéric. (1991). Regularity of weakly harmonic maps from a surface into a manifold with symmetries. manuscripta mathematica. 70(1). 203–218. 61 indexed citations
19.
Hélein, Frédéric. (1991). Harmonic diffeomrophisms with roational symmetry.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1991(414). 45–50. 2 indexed citations
20.
Coron, Jean‐Michel & Frédéric Hélein. (1989). Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Compositio Mathematica. 69(2). 175–228. 15 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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