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

Peers

Nicole Berline
Comparison fields: 5 of 47
  • Mathematical Physics 888
  • Geometry and Topology 496
  • Algebra and Number Theory 382
  • Applied Mathematics 375
  • Statistical and Nonlinear Physics 201
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 View profile →
Citations per field, relative to Nicole Berline
Nicole Berline · 1×
Citations per year, relative to Nicole Berline
Nicole Berline · 1×

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
# Title Journal Authors Indexed citations
1 The Horn inequalities from a geometric point of view arXiv (Cornell University) Nicole Berline, Michèle Vergne et al. 2
2 INTERMEDIATE SUMS ON POLYHEDRA II: BIDEGREE AND POISSON FORMULA Mathematika Nicole Berline, Jesús A. De Loera et al. 2
3 Top degree coefficients of the denumerant Discrete Mathematics & Theoretical Computer Science Nicole Berline, Jesús A. De Loera et al. 1
4 Top Coefficients of the Denumerant Discrete Mathematics & Theoretical Computer Science Nicole Berline, Matthias Köppe et al. 1
5 Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra Foundations of Computational Mathematics Nicole Berline, Jesús A. De Loera et al. 14
6 Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics Contemporary mathematics - American Mathematical Society Nicole Berline, Michèle Vergne et al. 10
7 The equivariant Todd genus of a complete toric variety, with Danilov condition Journal of Algebra Nicole Berline, Michèle Vergne 7
8 Local Euler–Maclaurin Formula for Polytopes Moscow Mathematical Journal Nicole Berline, Michèle Vergne 30
9 L'indice équivariant des opérateurs transversalement elliptiques Inventiones mathematicae Nicole Berline, Michèle Vergne 23
10 The Chern character of a transversally elliptic symbol and the equivariant index Inventiones mathematicae Nicole Berline et al. 26
11 Heat Kernels and Dirac Operators: Grundlehren 298 Nicole Berline, Ezra Getzler et al. 39
12 Heat Kernels and Dirac Operators breakdown → Nicole Berline, Ezra Getzler et al. 869
13 A proof of Bismut local index theorem for a family of Dirac operators Topology Nicole Berline, Michèle Vergne 16
14 A computation of the equivariant index of the Dirac operator Bulletin de la Société mathématique de France Nicole Berline, Michèle Vergne 32
15 The Equivariant Index and Kirillov's Character Formula American Journal of Mathematics Nicole Berline, Michèle Vergne 34
16 Zeros d’un champ de vecteurs et classes caracteristiques equivariantes Duke Mathematical Journal Nicole Berline, Michèle Vergne 82

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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