Alain Kraus

465 total citations
25 papers, 246 citations indexed

About

Alain Kraus is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Alain Kraus has authored 25 papers receiving a total of 246 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 11 papers in Mathematical Physics and 7 papers in Algebra and Number Theory. Recurrent topics in Alain Kraus's work include Algebraic Geometry and Number Theory (24 papers), Advanced Algebra and Geometry (9 papers) and History and Theory of Mathematics (5 papers). Alain Kraus is often cited by papers focused on Algebraic Geometry and Number Theory (24 papers), Advanced Algebra and Geometry (9 papers) and History and Theory of Mathematics (5 papers). Alain Kraus collaborates with scholars based in France, Spain and United Kingdom. Alain Kraus's co-authors include Samir Siksek and has published in prestigious journals such as Mathematics of Computation, Mathematische Annalen and Memoirs of the American Mathematical Society.

In The Last Decade

Alain Kraus

23 papers receiving 217 citations

Peers

Alain Kraus

GT

ANT

MP

CTM

IS

Sinnou David France

Kurt Girstmair Austria

Roberto Dvornicich Italy

Edward Dobrowolski Canada

Luís Dieulefait Spain

Jordi Guàrdia Spain

Ja Kyung Koo South Korea

Masayuki Kawakita Japan

R. Sujatha India

Ivan Fesenko United Kingdom

Sinnou David France

Alain Kraus

188 ×0.8

GT

95 ×0.9

ANT

77 ×0.7

MP

73 ×1.1

CTM

29 ×0.8

IS

Citations per year, relative to Alain Kraus Alain Kraus (= 1×) peers Sinnou David

Countries citing papers authored by Alain Kraus

Since Specialization

Citations

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

Fields of papers citing papers by Alain Kraus

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alain Kraus

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

All Works

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20 of 20 papers shown

1.

Kraus, Alain, et al.. (2020). Local criteria for the unit equation and the asymptotic Fermat's Last Theorem. arXiv (Cornell University). 5 indexed citations

2.

Kraus, Alain, et al.. (2020). On the degree of the $p$-torsion field of elliptic curves over $\mathbb Q_\ell $ for $\ell \not =p$. Acta Arithmetica. 195(1). 13–55. 2 indexed citations

3.

Kraus, Alain. (2015). Sur le théorème de Fermat sur $${\mathbb Q}\big (\sqrt{5}\big )$$ Q ( 5 ). 39(1). 49–59.

4.

Kraus, Alain. (2015). Équation de Fermat et nombres premiers inertes. International Journal of Number Theory. 11(8). 2341–2351. 1 indexed citations

5.

Kraus, Alain, et al.. (2006). Quelques résultats sur les équations ax^p + by^p = cz². Canadian Journal of Mathematics. 58(1). 115–153. 9 indexed citations

6.

Kraus, Alain, et al.. (2004). UNE CONJECTURE DE LEBESGUE. Journal of the London Mathematical Society. 69(2). 291–302. 2 indexed citations

7.

Kraus, Alain, et al.. (2002). Sur la p-différente du corps des points de l-torsion des courbes elliptiques, l≠ p. Acta Arithmetica. 104(1). 1–21. 5 indexed citations

8.

Kraus, Alain, et al.. (2002). Courbes de Fermat: résultats et problèmes. Journal für die reine und angewandte Mathematik (Crelles Journal). 2002(548). 18 indexed citations

9.

Kraus, Alain. (2002). . Compositio Mathematica. 132(1). 1–26. 6 indexed citations

10.

Kraus, Alain. (1999). On the Equation xp + y q = z r : A Survey. The Ramanujan Journal. 3(3). 315–333. 16 indexed citations

11.

Kraus, Alain, et al.. (1999). On the modular curves $Y_E(7)$. Mathematics of Computation. 69(231). 1193–1207. 4 indexed citations

12.

Kraus, Alain. (1999). Sur la p-différente du corps des points de p-torsion des courbes elliptiques. Bulletin of the Australian Mathematical Society. 60(3). 407–428. 1 indexed citations

13.

Kraus, Alain. (1998). Sur l'équation {$a\sp 3+b\sp 3=c\sp p$}. Experimental Mathematics. 7(1). 1–13. 10 indexed citations

14.

Kraus, Alain. (1998). Sur l'équation a³+ b³= c^p. Experimental Mathematics. 7(1). 1–13. 26 indexed citations

15.

Kraus, Alain, et al.. (1998). Sur les modules de torsion des courbes elliptiques. Mathematische Annalen. 310(1). 47–54. 4 indexed citations

16.

Kraus, Alain. (1997). Majorations Effectives Pour L’ Équation de Fermat Généralisée. Canadian Journal of Mathematics. 49(6). 1139–1161. 27 indexed citations

17.

Kraus, Alain. (1996). Courbes elliptiques semi-stables et corps quadratiques. Journal of Number Theory. 60(2). 245–253. 10 indexed citations

18.

Kraus, Alain. (1996). Sur les modules des points de 7-torsion d'une famille de courbes elliptiques. Annales de l’institut Fourier. 46(4). 899–907. 3 indexed citations

19.

Kraus, Alain, et al.. (1992). Sur une question de B. Mazur. Mathematische Annalen. 293(1). 259–275. 27 indexed citations

20.

Kraus, Alain. (1987). Matrices for engineers. Medical Entomology and Zoology. 11 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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