Jean-Luc Brylinski

3.3k total citations · 1 hit paper
39 papers, 1.4k citations indexed

About

Jean-Luc Brylinski is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Jean-Luc Brylinski has authored 39 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Mathematical Physics, 29 papers in Geometry and Topology and 17 papers in Algebra and Number Theory. Recurrent topics in Jean-Luc Brylinski's work include Advanced Topics in Algebra (17 papers), Advanced Algebra and Geometry (16 papers) and Homotopy and Cohomology in Algebraic Topology (16 papers). Jean-Luc Brylinski is often cited by papers focused on Advanced Topics in Algebra (17 papers), Advanced Algebra and Geometry (16 papers) and Homotopy and Cohomology in Algebraic Topology (16 papers). Jean-Luc Brylinski collaborates with scholars based in United States, France and Germany. Jean-Luc Brylinski's co-authors include Masaki Kashiwara, Walter Borho, Victor Nistor, Pierre Deligne, J.-P. Labesse, Patrick Delorme, Ranee Brylinski, Victor Guillemin, Victor G. Kač and Gregg J. Zuckerman and has published in prestigious journals such as Communications in Mathematical Physics, Inventiones mathematicae and Journal of Functional Analysis.

In The Last Decade

Jean-Luc Brylinski

37 papers receiving 1.2k citations

Hit Papers

Loop Spaces, Characteristic Classes and Geometric Quantiz... 1993 2026 2004 2015 1993 100 200 300
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. Loop Spaces, Characteristic Classes and Geometric Quantization
    1993 344 citations Jean-Luc Brylinski 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
Jean-Luc Brylinski United States 17 1.1k 1.0k 596 182 163 39 1.4k
Roger Howe United States 10 648 0.6× 550 0.5× 345 0.6× 156 0.9× 176 1.1× 17 888
Eckhard Meinrenken Canada 17 895 0.8× 771 0.7× 423 0.7× 213 1.2× 50 0.3× 48 1.1k
Dimitry Leites Sweden 11 449 0.4× 700 0.7× 513 0.9× 385 2.1× 63 0.4× 53 931
S. Ramanan India 17 805 0.7× 981 0.9× 149 0.3× 127 0.7× 102 0.6× 31 1.1k
Tom Bridgeland United Kingdom 17 1.0k 0.9× 1.5k 1.5× 296 0.5× 354 1.9× 94 0.6× 28 1.6k
Jim Stasheff United States 19 879 0.8× 799 0.8× 687 1.2× 313 1.7× 56 0.3× 33 1.2k
Lothar Göttsche Italy 18 690 0.6× 922 0.9× 209 0.4× 117 0.6× 84 0.5× 33 1.0k
Eugene Lerman United States 15 631 0.6× 773 0.7× 141 0.2× 196 1.1× 117 0.7× 42 1.0k
Yan Soibelman United States 12 444 0.4× 693 0.7× 295 0.5× 219 1.2× 90 0.6× 29 787
Alexander Givental United States 14 601 0.5× 899 0.9× 144 0.2× 272 1.5× 178 1.1× 35 1.0k

Countries citing papers authored by Jean-Luc Brylinski

Since Specialization
Citations

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

Fields of papers citing papers by Jean-Luc Brylinski

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jean-Luc Brylinski. 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 Jean-Luc Brylinski. The network helps show where Jean-Luc Brylinski may publish in the future.

Co-authorship network of co-authors of Jean-Luc Brylinski

This figure shows the co-authorship network connecting the top 25 collaborators of Jean-Luc Brylinski. A scholar is included among the top collaborators of Jean-Luc Brylinski 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 Jean-Luc Brylinski. Jean-Luc Brylinski 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.
Brylinski, Jean-Luc & Эмма Превиато. (2000). Koszul Complexes, Differential Operators, and the Weil–Tate Reciprocity Law. Journal of Algebra. 230(1). 89–100. 1 indexed citations
2.
Brylinski, Jean-Luc, Ranee Brylinski, Victor Nistor, Boris Tsygan, & Ping Xu. (1999). Advances in Geometry. Birkhäuser Boston eBooks. 1 indexed citations
3.
Brylinski, Jean-Luc. (1999). THE BETA FUNCTION OF A KNOT. International Journal of Mathematics. 10(4). 415–423. 13 indexed citations
4.
Brylinski, Jean-Luc. (1997). Central extensions and reciprocity laws. French digital mathematics library (Numdam). 38(3). 193–215. 4 indexed citations
5.
Brylinski, Jean-Luc, et al.. (1996). Characteristic classes and multidimensional reciprocity laws. Mathematical Research Letters. 3(1). 19–30. 2 indexed citations
6.
Brylinski, Jean-Luc, et al.. (1996). Čech cocycles for characteristic classes. Communications in Mathematical Physics. 178(1). 225–236. 5 indexed citations
7.
Brylinski, Jean-Luc, Ranee Brylinski, Victor Guillemin, & Victor G. Kač. (1994). Lie theory and geometry : in honor of Bertram Kostant. CERN Document Server (European Organization for Nuclear Research). 47 indexed citations
8.
Brylinski, Jean-Luc, et al.. (1994). The geometry of degree-four characteristic classes and of line bundles on loop spaces I. Duke Mathematical Journal. 75(3). 44 indexed citations
9.
Brylinski, Jean-Luc. (1993). Loop Spaces, Characteristic Classes and Geometric Quantization. Birkhäuser Boston eBooks. 344 indexed citations breakdown →
10.
Blanc, Philippe & Jean-Luc Brylinski. (1992). Cyclic homology and the Selberg principle. Journal of Functional Analysis. 109(2). 289–330. 15 indexed citations
11.
Brylinski, Jean-Luc. (1992). Legendre polynomials and the elliptic genus. Journal of Algebra. 145(1). 83–93.
12.
Brylinski, Jean-Luc & Patrick Delorme. (1992). Vecteurs distributionsH-invariants pour les s�ries principales g�n�ralis�es d'espaces symetriques reductifs et prolongement meromorphe d'int�grales d'Eisenstein. Inventiones mathematicae. 109(1). 619–664. 34 indexed citations
13.
Brylinski, Jean-Luc. (1990). Representations of loop groups, Dirac operators on loop space, and modular forms. Topology. 29(4). 461–480. 16 indexed citations
14.
Brylinski, Jean-Luc. (1989). Central localization in Hochschild homology. Journal of Pure and Applied Algebra. 57(1). 1–4. 12 indexed citations
15.
Brylinski, Jean-Luc. (1988). A differential complex for Poisson manifolds. Journal of Differential Geometry. 28(1). 170 indexed citations
16.
Borho, Walter, Jean-Luc Brylinski, & Robert MacPherson. (1987). Springer's Weyl group representations through characteristic classes of cone bundles. Mathematische Annalen. 278(1-4). 273–289. 4 indexed citations
17.
Brylinski, Jean-Luc, et al.. (1986). Géométrie et analyse microlocales. 1 indexed citations
18.
Brylinski, Jean-Luc. (1983). Théorie du corps de classes de Kato et revêtements abéliens de surfaces. Annales de l’institut Fourier. 33(3). 23–38. 18 indexed citations
19.
Brylinski, Jean-Luc. (1982). (Co)-homologie d'intersection et faisceaux pervers. French digital mathematics library (Numdam). 24. 129–157. 28 indexed citations
20.
Brylinski, Jean-Luc. (1979). Propriétés de ramification à l'infini du groupe modulaire de Teichmüller. With an appendix in English by Ken Baclawski. Annales Scientifiques de l École Normale Supérieure. 12(3). 295–333. 4 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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