Karim Belabas

486 total citations
22 papers, 206 citations indexed

About

Karim Belabas is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Karim Belabas has authored 22 papers receiving a total of 206 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 10 papers in Computational Theory and Mathematics and 8 papers in Algebra and Number Theory. Recurrent topics in Karim Belabas's work include Algebraic Geometry and Number Theory (10 papers), Coding theory and cryptography (7 papers) and Analytic Number Theory Research (7 papers). Karim Belabas is often cited by papers focused on Algebraic Geometry and Number Theory (10 papers), Coding theory and cryptography (7 papers) and Analytic Number Theory Research (7 papers). Karim Belabas collaborates with scholars based in France, Germany and Chile. Karim Belabas's co-authors include Étienne Fouvry, Jean-François Jaulent, Herbert Gangl, Carl Pomerance, Manjul Bhargava, Henri Cohen, Allan Steel, Mark van Hoeij, Jürgen Klüners and H. W. Lenstra and has published in prestigious journals such as Mathematics of Computation, Bulletin of the London Mathematical Society and Duke Mathematical Journal.

In The Last Decade

Karim Belabas

20 papers receiving 170 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Karim Belabas France 10 151 97 78 71 49 22 206
Karl-Otto Stöhr Brazil 7 193 1.3× 84 0.9× 57 0.7× 69 1.0× 76 1.6× 15 231
Roberto Dvornicich Italy 8 159 1.1× 78 0.8× 85 1.1× 33 0.5× 36 0.7× 37 199
Josep González Spain 10 251 1.7× 105 1.1× 177 2.3× 43 0.6× 58 1.2× 36 278
Everett W. Howe United States 10 243 1.6× 60 0.6× 87 1.1× 149 2.1× 64 1.3× 32 285
Farshid Hajir United States 11 187 1.2× 119 1.2× 88 1.1× 55 0.8× 43 0.9× 31 249
Jerzy Browkin Poland 10 169 1.1× 74 0.8× 87 1.1× 59 0.8× 30 0.6× 32 223
Rafe Jones United States 9 148 1.0× 70 0.7× 105 1.3× 47 0.7× 37 0.8× 18 187
B. Heinrich Matzat Germany 8 225 1.5× 82 0.8× 124 1.6× 59 0.8× 73 1.5× 22 268
Kurt Girstmair Austria 9 140 0.9× 132 1.4× 69 0.9× 38 0.5× 50 1.0× 58 221
Alina Carmen Cojocaru United States 9 197 1.3× 157 1.6× 62 0.8× 55 0.8× 14 0.3× 25 231

Countries citing papers authored by Karim Belabas

Since Specialization
Citations

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

Fields of papers citing papers by Karim Belabas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karim Belabas

This figure shows the co-authorship network connecting the top 25 collaborators of Karim Belabas. A scholar is included among the top collaborators of Karim Belabas 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 Karim Belabas. Karim Belabas 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.
Belabas, Karim & Henri Cohen. (2021). Numerical Algorithms for Number Theory. Mathematical surveys and monographs. 4 indexed citations
2.
Belabas, Karim & Henri Cohen. (2018). Modular forms in Pari/GP. Research in the Mathematical Sciences. 5(3). 6 indexed citations
3.
Belabas, Karim & Jean-François Jaulent. (2016). The logarithmic class group package in PARI/GP. French digital mathematics library (Numdam). 5–18. 14 indexed citations
4.
Belabas, Karim & Eduardo Friedman. (2014). Computing the residue of the Dedekind zeta function. Mathematics of Computation. 84(291). 357–369. 2 indexed citations
5.
Belabas, Karim. (2011). Théorie algébrique des nombres et calcul formel. HAL (Le Centre pour la Communication Scientifique Directe). 2(1). 1–40.
6.
Belabas, Karim & Étienne Fouvry. (2010). DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES. International Journal of Number Theory. 6(7). 1491–1529. 8 indexed citations
7.
Belabas, Karim, et al.. (2010). Explicit Methods in Number Theory. Oberwolfach Reports. 6(3). 1843–1920. 1 indexed citations
8.
Belabas, Karim, Manjul Bhargava, & Carl Pomerance. (2010). Error estimates for the Davenport-Heilbronn theorems. Duke Mathematical Journal. 153(1). 17 indexed citations
9.
Belabas, Karim, Mark van Hoeij, Jürgen Klüners, & Allan Steel. (2009). Factoring polynomials over global fields. Journal de Théorie des Nombres de Bordeaux. 21(1). 15–39. 17 indexed citations
10.
Belabas, Karim. (2008). Topics in computational algebraic number theory. Journal de Théorie des Nombres de Bordeaux. 16(1). 19–63. 16 indexed citations
11.
Belabas, Karim, et al.. (2007). Small generators of the ideal class group. Mathematics of Computation. 77(262). 1185–1198. 7 indexed citations
12.
Belabas, Karim. (2004). On quadratic fields with large 3-rank. Mathematics of Computation. 73(248). 2061–2074. 10 indexed citations
13.
Belabas, Karim & Herbert Gangl. (2004). Generators and Relations for O. K-Theory. 31(3). 195–231. 12 indexed citations
14.
Belabas, Karim. (2003). A relative van Hoeij algorithm over number fields. Journal of Symbolic Computation. 37(5). 641–668. 12 indexed citations
15.
Belabas, Karim, et al.. (2001). Quine, critique de Peirce: vérité et convergence. Philosophia Scientae. 1 indexed citations
16.
Belabas, Karim, Guillaume Hanrot, & Paul Zimmermann. (2001). Tuning and Generalizing Van Hoeij's Algorithm. OpenGrey (Institut de l'Information Scientifique et Technique). 1 indexed citations
17.
Belabas, Karim, Sa’ar Hersonsky, & Frédéric Paulin. (2001). COUNTING HOROBALLS AND RATIONAL GEODESICS. Bulletin of the London Mathematical Society. 33(5). 606–612. 4 indexed citations
18.
Belabas, Karim. (1999). On the Mean 3-Rank of Quadratic Fields. Compositio Mathematica. 118(1). 1–9. 7 indexed citations
19.
Belabas, Karim & Étienne Fouvry. (1999). Sur le 3-rang des corps quadratiques de discriminant premier ou presque premier. Duke Mathematical Journal. 98(2). 17 indexed citations
20.
Belabas, Karim. (1996). Crible et 3-rang des corps quadratiques. Annales de l’institut Fourier. 46(4). 909–949. 9 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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