Samir Siksek

1.5k total citations
57 papers, 713 citations indexed

About

Samir Siksek is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Samir Siksek has authored 57 papers receiving a total of 713 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Geometry and Topology, 26 papers in Algebra and Number Theory and 16 papers in Mathematical Physics. Recurrent topics in Samir Siksek's work include Algebraic Geometry and Number Theory (47 papers), Analytic Number Theory Research (22 papers) and Polynomial and algebraic computation (13 papers). Samir Siksek is often cited by papers focused on Algebraic Geometry and Number Theory (47 papers), Analytic Number Theory Research (22 papers) and Polynomial and algebraic computation (13 papers). Samir Siksek collaborates with scholars based in United Kingdom, Oman and Mexico. Samir Siksek's co-authors include Maurice Mignotte, Yann Bugeaud, Florian Luca, Nigel P. Smart, J. E. Cremona, Michael Stoll, Yann Bugeaud, Michael A. Bennett, Alexei N. Skorobogatov and Alain Kraus and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Samir Siksek

52 papers receiving 603 citations

Peers

Samir Siksek

GT

ANT

SNP

MP

DMC

Paul Voutier United Kingdom

Alain Togbé United States

Michael A. Bennett Canada

Graham Everest United Kingdom

E M Matveev Russia

Gisbert Wüstholz Switzerland

Yuri Bilu France

Pietro Corvaja Italy

N. Saradha India

B.M.M. de Weger Netherlands

Paul Voutier United Kingdom

Samir Siksek

342 ×0.7

GT

315 ×0.8

ANT

121 ×0.5

SNP

167 ×0.7

MP

59 ×0.4

DMC

Citations per year, relative to Samir Siksek Samir Siksek (= 1×) peers Paul Voutier

Countries citing papers authored by Samir Siksek

Since Specialization

Citations

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

Fields of papers citing papers by Samir Siksek

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Samir Siksek

This figure shows the co-authorship network connecting the top 25 collaborators of Samir Siksek. A scholar is included among the top collaborators of Samir Siksek 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 Samir Siksek. Samir Siksek 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.

Siksek, Samir, et al.. (2025). Efficient resolution of Thue–Mahlerequations. Algebra & Number Theory. 19(4). 667–714.

2.

Siksek, Samir, et al.. (2024). Curves with few bad primes over cyclotomicℤℓ-extensions. Algebra & Number Theory. 19(1). 113–141.

3.

Bennett, Michael A., et al.. (2023). ℚ -curves and the Lebesgue–Nagell equation. Journal de Théorie des Nombres de Bordeaux. 35(2). 495–510.

4.

Bennett, Michael A. & Samir Siksek. (2022). Differences between perfect powers: The Lebesgue-Nagell equation. Transactions of the American Mathematical Society. 376(1). 335–370. 4 indexed citations

5.

Siksek, Samir. (2022). Integral points on punctured abelian varieties. European Journal of Mathematics. 8(S2). 687–703. 1 indexed citations

6.

Siksek, Samir & Michael A. Bennett. (2020). A conjecture of Erdős, supersingular primes and short character sums. Warwick Research Archive Portal (University of Warwick). 2 indexed citations

7.

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

8.

Siksek, Samir, et al.. (2017). On powers that are sums of consecutive like powers. Research in Number Theory. 3(1). 2–2. 5 indexed citations

9.

Lemos, Pedro A., et al.. (2016). Residual representations of semistable principally polarized abelian varieties. Research in Number Theory. 2(1). 6 indexed citations

10.

Siksek, Samir, et al.. (2015). Criteria for Irreducibility of mod p Representations of Frey Curves. Journal de Théorie des Nombres de Bordeaux. 27(1). 67–76. 13 indexed citations

11.

Siksek, Samir, et al.. (2013). Modularity and the Fermat Equation over Totally Real Fields. arXiv (Cornell University). 2 indexed citations

12.

Siksek, Samir, et al.. (2011). On the Q-linear independence of the sums ∑n=1∞σk(n)/n!. Journal of Number Theory. 131(4). 745–749. 1 indexed citations

13.

Luca, Florian & Samir Siksek. (2010). On factorials expressible as sums of at most three Fibonacci numbers. Proceedings of the Edinburgh Mathematical Society. 53(3). 747–763. 14 indexed citations

14.

Siksek, Samir, et al.. (2009). Perfect powers expressible as sums of two cubes. Journal of Algebra. 322(3). 638–656. 14 indexed citations

15.

Siksek, Samir. (2009). Diophantine equations after Fermat’s last theorem. Journal de Théorie des Nombres de Bordeaux. 21(2). 423–434. 1 indexed citations

16.

Bugeaud, Yann, et al.. (2008). Integral points on hyperelliptic curves. Algebra & Number Theory. 2(8). 859–885. 32 indexed citations

17.

Bugeaud, Yann, Florian Luca, Maurice Mignotte, & Samir Siksek. (2005). On Fibonacci numbers with few prime divisors. Proceedings of the Japan Academy Series A Mathematical Sciences. 81(2). 8 indexed citations

18.

Cremona, J. E., et al.. (2005). Height difference bounds for elliptic curves over number fields. Journal of Number Theory. 116(1). 42–68. 19 indexed citations

19.

Siksek, Samir. (2003). On the diophantine equation x 2 = y p + 2 k z p . Journal de Théorie des Nombres de Bordeaux. 15(3). 839–846. 10 indexed citations

20.

Smart, Nigel P. & Samir Siksek. (1999). A Fast Diffie—Hellman Protocol in Genus 2. Journal of Cryptology. 12(1). 67–73. 5 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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