Michael A. Bennett

1.1k total citations
60 papers, 549 citations indexed

About

Michael A. Bennett is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Michael A. Bennett has authored 60 papers receiving a total of 549 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Geometry and Topology, 33 papers in Algebra and Number Theory and 22 papers in Mathematical Physics. Recurrent topics in Michael A. Bennett's work include Algebraic Geometry and Number Theory (42 papers), Analytic Number Theory Research (28 papers) and Polynomial and algebraic computation (16 papers). Michael A. Bennett is often cited by papers focused on Algebraic Geometry and Number Theory (42 papers), Analytic Number Theory Research (28 papers) and Polynomial and algebraic computation (16 papers). Michael A. Bennett collaborates with scholars based in Canada, United States and United Kingdom. Michael A. Bennett's co-authors include Kálmán Győry, Soroosh Yazdani, Ákos Pintér, Vinayak Vatsal, Maurice Mignotte, Nils Bruin, Lajos Hajdu, Nathan Ng, Jordan S. Ellenberg and Yann Bugeaud 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

Michael A. Bennett

54 papers receiving 470 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael A. Bennett Canada	14	422	315	179	125	65	60	549
Gisbert Wüstholz Switzerland	13	423 1.0×	195 0.6×	223 1.2×	168 1.3×	67 1.0×	21	535
B.M.M. de Weger Netherlands	9	285 0.7×	189 0.6×	102 0.6×	134 1.1×	59 0.9×	23	396
Michael Stoll Germany	15	574 1.4×	192 0.6×	303 1.7×	185 1.5×	25 0.4×	56	665
Robert Rumely United States	12	380 0.9×	243 0.8×	257 1.4×	148 1.2×	19 0.3×	28	628
Samir Siksek United Kingdom	14	457 1.1×	399 1.3×	225 1.3×	126 1.0×	258 4.0×	57	713
Jonathan Pila United Kingdom	14	576 1.4×	202 0.6×	328 1.8×	200 1.6×	24 0.4×	36	716
M. Ram Murty Canada	12	334 0.8×	292 0.9×	131 0.7×	50 0.4×	16 0.2×	41	483
Hans Peter Schlickewei Germany	14	383 0.9×	272 0.9×	218 1.2×	179 1.4×	57 0.9×	44	604
Pieter Moree Germany	11	250 0.6×	362 1.1×	108 0.6×	61 0.5×	41 0.6×	87	500
A. Baker	4	192 0.5×	129 0.4×	104 0.6×	93 0.7×	66 1.0×	5	320

Countries citing papers authored by Michael A. Bennett

Since Specialization

Citations

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

Fields of papers citing papers by Michael A. Bennett

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael A. Bennett. 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 Michael A. Bennett. The network helps show where Michael A. Bennett may publish in the future.

Co-authorship network of co-authors of Michael A. Bennett

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Bennett, Michael A., et al.. (2024). Effective $S$-unit equations beyond three terms: Newman’s Conjecture. Acta Arithmetica. 214. 421–458.

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

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

Bennett, Michael A., et al.. (2020). An old and new approach to Goormaghtigh’s equation. Transactions of the American Mathematical Society. 373(8). 5707–5745. 1 indexed citations

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

Bennett, Michael A.. (2020). INTEGERS REPRESENTED BY REVISITED. Bulletin of the Australian Mathematical Society. 103(1). 38–49.

Bennett, Michael A., et al.. (2018). Computing elliptic curves over $\mathbb {Q}$. Mathematics of Computation. 88(317). 1341–1390. 4 indexed citations

Bennett, Michael A. & Ákos Pintér. (2015). Intersections of recurrence sequences. Proceedings of the American Mathematical Society. 143(6). 2347–2353. 3 indexed citations

Bennett, Michael A. & Aaron Levin. (2015). The Nagell–Ljunggren equation via Runge’s method. Monatshefte für Mathematik. 177(1). 15–31. 5 indexed citations

10.

Bennett, Michael A., et al.. (2013). Klein forms and the generalized superelliptic equation. Annals of Mathematics. 171–239. 5 indexed citations

11.

Bennett, Michael A., et al.. (2008). Prime factors of consecutive integers. Mathematics of Computation. 77(264). 2455–2459. 2 indexed citations

12.

Bennett, Michael A. & Bruce Reznick. (2004). Positive Rational Solutions to x ^y = y ^mx : A Number-Theoretic Excursion. American Mathematical Monthly. 111(1). 13–21. 1 indexed citations

13.

Bennett, Michael A., Kálmán Győry, & Ákos Pintér. (2004). On the Diophantine equation $1^k+2^k+\dotsb+x^k=y^n$. Compositio Mathematica. 140(6). 1417–1431. 13 indexed citations

14.

Bennett, Michael A., Vinayak Vatsal, & Soroosh Yazdani. (2004). Ternary Diophantine equations of signature ( p , p , 3). Compositio Mathematica. 140(6). 1399–1416. 25 indexed citations

15.

Bennett, Michael A.. (2004). Powers in recurrence sequences: Pell equations. Transactions of the American Mathematical Society. 357(4). 1675–1691. 4 indexed citations

16.

Bennett, Michael A.. (2003). Pillai's conjecture revisited. Journal of Number Theory. 98(2). 228–235. 6 indexed citations

17.

Bennett, Michael A., et al.. (2000). Simultaneous quadratic equations with few or no solutions. Indagationes Mathematicae. 11(1). 1–12. 5 indexed citations

18.

Bennett, Michael A., et al.. (1998). The representation of integers by binary additive forms. Compositio Mathematica. 111(1). 15–33. 5 indexed citations

19.

Bennett, Michael A.. (1997). Solving Families of Simultaneous Pell Equations. Journal of Number Theory. 67(2). 246–251. 7 indexed citations

20.

Lichtenstein, Yossi, et al.. (1991). AGATHA: An Integrated Expert System to Test and Diagnose Complex Personal Computer Boards. UEA Digital Repository (University of East Anglia). 87–103. 4 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.

Explore authors with similar magnitude of impact