Michael Stoll

1.8k total citations
56 papers, 665 citations indexed

About

Michael Stoll is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Michael Stoll has authored 56 papers receiving a total of 665 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Geometry and Topology, 19 papers in Mathematical Physics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Michael Stoll's work include Algebraic Geometry and Number Theory (40 papers), Advanced Algebra and Geometry (16 papers) and Polynomial and algebraic computation (15 papers). Michael Stoll is often cited by papers focused on Algebraic Geometry and Number Theory (40 papers), Advanced Algebra and Geometry (16 papers) and Polynomial and algebraic computation (15 papers). Michael Stoll collaborates with scholars based in Germany, United Kingdom and United States. Michael Stoll's co-authors include Bjorn Poonen, Nils Bruin, J. E. Cremona, Edward F. Schaefer, Tom Fisher, Samir Siksek, William Stein, Yann Bugeaud, Maurice Mignotte and E. V. Flynn 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 Stoll

52 papers receiving 588 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael Stoll Germany	15	574	303	192	185	105	56	665
Michael A. Bennett Canada	14	422 0.7×	179 0.6×	315 1.6×	125 0.7×	62 0.6×	60	549
Gisbert Wüstholz Switzerland	13	423 0.7×	223 0.7×	195 1.0×	168 0.9×	65 0.6×	21	535
Jürgen Klüners Germany	12	311 0.5×	148 0.5×	152 0.8×	146 0.8×	151 1.4×	30	444
M. Ram Murty Canada	12	334 0.6×	131 0.4×	292 1.5×	50 0.3×	99 0.9×	41	483
Edward F. Schaefer United States	11	314 0.5×	130 0.4×	67 0.3×	110 0.6×	133 1.3×	17	423
José Felipe Voloch United States	17	577 1.0×	223 0.7×	235 1.2×	209 1.1×	382 3.6×	88	906
Jan‐Hendrik Evertse Netherlands	16	587 1.0×	283 0.9×	398 2.1×	256 1.4×	107 1.0×	56	839
В. П. Платонов Russia	15	858 1.5×	702 2.3×	319 1.7×	196 1.1×	110 1.0×	117	1.2k
Dragos Ghioca Canada	12	373 0.6×	254 0.8×	99 0.5×	62 0.3×	186 1.8×	61	536
David Masser Switzerland	20	1.0k 1.8×	433 1.4×	425 2.2×	427 2.3×	85 0.8×	85	1.2k

Countries citing papers authored by Michael Stoll

Since Specialization

Citations

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

Fields of papers citing papers by Michael Stoll

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Stoll

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

Stein, William, et al.. (2023). Torsion points on elliptic curves over number fields of small degree. Algebra & Number Theory. 17(2). 267–308. 6 indexed citations

Stoll, Michael, et al.. (2022). Elliptic curves with common torsion 𝑥-coordinates and hyperelliptic torsion packets. Proceedings of the American Mathematical Society. 150(12). 5137–5149.

Schleicher, Dierk, et al.. (2022). The Weierstrass–Durand–Kerner root finder is not generally convergent. Mathematics of Computation. 92(340). 839–866. 5 indexed citations

Stoll, Michael, et al.. (2022). Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces. Comptes Rendus Mathématique. 360(G5). 483–489. 1 indexed citations

Stoll, Michael, et al.. (2018). Directional Priors for Multi-Frame Optical Flow.. British Machine Vision Conference. 106. 2 indexed citations

Stoll, Michael. (2018). Focus on the Global South. University Library Heidelberg. 29(3). 3 indexed citations

Stoll, Michael. (2014). Rational points on hyperelliptic curves : recent developments. 1 indexed citations

Stoll, Michael, et al.. (2013). Joint trilateral filtering for multiframe optical flow. 3845–3849. 4 indexed citations

Stoll, Michael & Ronald van Luijk. (2011). Unfaking the fake Selmer group. 1 indexed citations

10.

Cremona, J. E., et al.. (2009). Explicit n-descent on elliptic curves, II. Geometry. Journal für die reine und angewandte Mathematik (Crelles Journal). 2009(632). 10 indexed citations

11.

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

12.

Bruin, Nils & Michael Stoll. (2008). Deciding Existence of Rational Points on Curves: An Experiment. Experimental Mathematics. 17(2). 181–189. 23 indexed citations

13.

Cremona, J. E., et al.. (2008). Explicit n-descent on elliptic curves, I. Algebra. Journal für die reine und angewandte Mathematik (Crelles Journal). 2008(615). 19 indexed citations

14.

Stoll, Michael. (2006). Finite descent and rational points on curves. arXiv (Cornell University). 6 indexed citations

15.

Stoll, Michael, et al.. (2003). Bifurcation analysis of an orientational aggregation model. Journal of Mathematical Biology. 46(6). 537–563. 9 indexed citations

16.

Stoll, Michael. (2002). On the Arithmetic of the Curves y2=xℓ+A, II. Journal of Number Theory. 93(2). 183–206. 13 indexed citations

17.

Stoll, Michael. (1999). On the height constant for curves of genus two. Acta Arithmetica. 90(2). 183–201. 17 indexed citations

18.

Poonen, Bjorn & Michael Stoll. (1999). The Cassels-Tate Pairing on Polarized Abelian Varieties. Annals of Mathematics. 150(3). 1109–1109. 78 indexed citations

19.

Stoll, Michael. (1997). Bounds for the Length of Recurrence Relations for Convolutions of P-recursive Sequences. European Journal of Combinatorics. 18(6). 707–712. 4 indexed citations

20.

Stoll, Michael. (1995). Two simple 2-dimensional abelian varieties defined over Q with Mordell-Weil group of rank at least 19. 321(10). 1341–1345. 8 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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