Nicole Berline

2.5k total citations · 1 hit paper
16 papers, 1.2k citations indexed

About

Nicole Berline is a scholar working on Algebra and Number Theory, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Nicole Berline has authored 16 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Algebra and Number Theory, 8 papers in Mathematical Physics and 7 papers in Applied Mathematics. Recurrent topics in Nicole Berline's work include Advanced Combinatorial Mathematics (6 papers), Advanced Operator Algebra Research (5 papers) and Advanced Topics in Algebra (4 papers). Nicole Berline is often cited by papers focused on Advanced Combinatorial Mathematics (6 papers), Advanced Operator Algebra Research (5 papers) and Advanced Topics in Algebra (4 papers). Nicole Berline collaborates with scholars based in France, Italy and United States. Nicole Berline's co-authors include Michèle Vergne, Ezra Getzler, Jesús A. De Loera, Matthias Köppe and Michael Walter and has published in prestigious journals such as Inventiones mathematicae, American Journal of Mathematics and Duke Mathematical Journal.

In The Last Decade

Nicole Berline

16 papers receiving 1.0k citations

Hit Papers

Heat Kernels and Dirac Operators 1992 2026 2003 2014 1992 250 500 750
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. Heat Kernels and Dirac Operators
    1992 869 citations Nicole Berline, Ezra Getzler et al. profile →

Peers

Nicole Berline
Karl‐Hermann Neeb Germany
Lawrence Corwin United States
Bent Ørsted Denmark
Dennis A. Hejhal United States
Gerrit Heckman Netherlands
Joachim Hilgert Germany
Eckhard Meinrenken Canada
Hershel M. Farkas Israel
S. J. Patterson Germany
Roger Howe United States
Karl‐Hermann Neeb Germany
Nicole Berline
Citations per year, relative to Nicole Berline Nicole Berline (= 1×) peers Karl‐Hermann Neeb

Countries citing papers authored by Nicole Berline

Since Specialization
Citations

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

Fields of papers citing papers by Nicole Berline

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Nicole Berline

This figure shows the co-authorship network connecting the top 25 collaborators of Nicole Berline. A scholar is included among the top collaborators of Nicole Berline 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 Nicole Berline. Nicole Berline is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

16 of 16 papers shown
1.
Berline, Nicole, Michèle Vergne, & Michael Walter. (2018). The Horn inequalities from a geometric point of view. arXiv (Cornell University). 63(3). 403–470. 2 indexed citations
2.
Berline, Nicole, et al.. (2016). INTERMEDIATE SUMS ON POLYHEDRA II: BIDEGREE AND POISSON FORMULA. Mathematika. 62(3). 653–684. 2 indexed citations
3.
Berline, Nicole, et al.. (2013). Top degree coefficients of the denumerant. Discrete Mathematics & Theoretical Computer Science. 1149–1160. 1 indexed citations
4.
Berline, Nicole, et al.. (2013). Top Coefficients of the Denumerant. Discrete Mathematics & Theoretical Computer Science. DMTCS Proceedings vol. AS,...(Proceedings). 1 indexed citations
5.
Berline, Nicole, et al.. (2011). Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra. Foundations of Computational Mathematics. 12(4). 435–469. 14 indexed citations
6.
Berline, Nicole, et al.. (2008). Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. Contemporary mathematics - American Mathematical Society. 10 indexed citations
7.
Berline, Nicole & Michèle Vergne. (2007). The equivariant Todd genus of a complete toric variety, with Danilov condition. Journal of Algebra. 313(1). 28–39. 7 indexed citations
8.
Berline, Nicole & Michèle Vergne. (2007). Local Euler–Maclaurin Formula for Polytopes. Moscow Mathematical Journal. 7(3). 355–386. 30 indexed citations
9.
Berline, Nicole & Michèle Vergne. (1996). L'indice équivariant des opérateurs transversalement elliptiques. Inventiones mathematicae. 124(1-3). 51–101. 23 indexed citations
10.
Berline, Nicole, et al.. (1996). The Chern character of a transversally elliptic symbol and the equivariant index. Inventiones mathematicae. 124(1-3). 11–49. 26 indexed citations
11.
Berline, Nicole, Ezra Getzler, & Michèle Vergne. (1992). Heat Kernels and Dirac Operators: Grundlehren 298. 39 indexed citations
12.
Berline, Nicole, Ezra Getzler, & Michèle Vergne. (1992). Heat Kernels and Dirac Operators. 869 indexed citations breakdown →
13.
Berline, Nicole & Michèle Vergne. (1987). A proof of Bismut local index theorem for a family of Dirac operators. Topology. 26(4). 435–463. 16 indexed citations
14.
Berline, Nicole & Michèle Vergne. (1985). A computation of the equivariant index of the Dirac operator. Bulletin de la Société mathématique de France. 79. 305–345. 32 indexed citations
15.
Berline, Nicole & Michèle Vergne. (1985). The Equivariant Index and Kirillov's Character Formula. American Journal of Mathematics. 107(5). 1159–1159. 34 indexed citations
16.
Berline, Nicole & Michèle Vergne. (1983). Zeros d’un champ de vecteurs et classes caracteristiques equivariantes. Duke Mathematical Journal. 50(2). 82 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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