William Stein

1.8k total citations
43 papers, 599 citations indexed

About

William Stein is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, William Stein has authored 43 papers receiving a total of 599 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 23 papers in Mathematical Physics and 19 papers in Algebra and Number Theory. Recurrent topics in William Stein's work include Algebraic Geometry and Number Theory (28 papers), Advanced Algebra and Geometry (19 papers) and Analytic Number Theory Research (16 papers). William Stein is often cited by papers focused on Algebraic Geometry and Number Theory (28 papers), Advanced Algebra and Geometry (19 papers) and Analytic Number Theory Research (16 papers). William Stein collaborates with scholars based in United States, United Kingdom and Germany. William Stein's co-authors include David Joyner, Brian Conrad, Bas Edixhoven, Kenneth A. Ribet, Mark E. Watkins, Barry Mazur, Clément Pernet, Michael Stoll, E. V. Flynn and Franck Leprévost and has published in prestigious journals such as Mathematics of Computation, Pacific Journal of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

William Stein

42 papers receiving 522 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
William Stein United States	15	375	307	238	81	76	43	599
Noam D. Elkies United States	13	237 0.6×	182 0.6×	152 0.6×	122 1.5×	82 1.1×	30	515
Robert Rumely United States	12	380 1.0×	257 0.8×	243 1.0×	90 1.1×	73 1.0×	28	628
Joe Buhler United States	15	344 0.9×	216 0.7×	303 1.3×	105 1.3×	193 2.5×	40	662
Graham Everest United Kingdom	10	305 0.8×	202 0.7×	144 0.6×	118 1.5×	119 1.6×	64	508
Peter Shiu United Kingdom	9	379 1.0×	207 0.7×	432 1.8×	126 1.6×	161 2.1×	46	731
Attila Pethő Hungary	17	451 1.2×	339 1.1×	257 1.1×	187 2.3×	65 0.9×	82	809
Lindsay N. Childs United States	17	489 1.3×	251 0.8×	322 1.4×	92 1.1×	145 1.9×	56	693
M. Ram Murty Canada	18	595 1.6×	535 1.7×	867 3.6×	116 1.4×	209 2.8×	111	1.1k
A. J. van der Poorten Australia	15	238 0.6×	235 0.8×	231 1.0×	129 1.6×	89 1.2×	73	680
John Tyrrell United Kingdom	9	284 0.8×	172 0.6×	173 0.7×	65 0.8×	75 1.0×	40	470

Countries citing papers authored by William Stein

Since Specialization

Citations

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

Fields of papers citing papers by William Stein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of William Stein

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

Stein, William, et al.. (2016). Beyond the Black Box. Notices of the American Mathematical Society. 63(8). 928–929. 2 indexed citations

Balakrishnan, Jennifer S., et al.. (2016). Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. LMS Journal of Computation and Mathematics. 19(A). 351–370. 7 indexed citations

Balakrishnan, Jennifer S., et al.. (2014). $p$-adic heights of Heegner points and $\Lambda $-adic regulators. Mathematics of Computation. 84(292). 923–954. 2 indexed citations

Bradshaw, Robert & William Stein. (2012). Heegner points and the arithmetic of elliptic curves over ring class extensions. Journal of Number Theory. 132(8). 1707–1719. 2 indexed citations

Pernet, Clément & William Stein. (2010). Fast computation of Hermite normal forms of random integer matrices. Journal of Number Theory. 130(7). 1675–1683. 12 indexed citations

Stein, William. (2010). Toward a Generalization of the Gross-Zagier Conjecture. International Mathematics Research Notices. 2 indexed citations

Stein, William. (2010). Algebraic Number Theory, a Computational Approach. 7 indexed citations

Stein, William, et al.. (2009). Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. Mathematics of Computation. 78(268). 2397–2425. 16 indexed citations

10.

Stein, William, et al.. (2009). On the generation of the coefficient field of a newform by a single Hecke eigenvalue. Journal de Théorie des Nombres de Bordeaux. 20(2). 373–384. 4 indexed citations

11.

Jetchev, Dimitar, Kristin Lauter, & William Stein. (2008). Explicit Heegner points: Kolyvagin's conjecture and non-trivial elements in the Shafarevich–Tate group. Journal of Number Theory. 129(2). 284–302. 7 indexed citations

12.

Stein, William. (2007). Modular Forms, a Computational Approach. Graduate studies in mathematics. 136 indexed citations

13.

Jetchev, Dimitar & William Stein. (2007). Visibility of the Shafarevich-Tate group at higher level. Documenta Mathematica. 12. 673–696. 1 indexed citations

14.

Conrad, Brian, Bas Edixhoven, & William Stein. (2003). J1(p) Has Connected Fibers. Documenta Mathematica. 8. 331–408. 18 indexed citations

15.

Stein, William, Brian Conrad, & Bas Edixhoven. (2003). $J_1(p)$ has connected fibers. Documenta Mathematica. 8. 331–408. 23 indexed citations

16.

Stein, William. (2002). There are genus one curves over Q of every odd index. 1 indexed citations

17.

Stein, William, et al.. (2002). Visibility of Shafarevich–Tate Groups of Abelian Varieties. Journal of Number Theory. 97(1). 171–185. 15 indexed citations

18.

Schoof, René, et al.. (2002). Some Computations with Heeke Rings and Deformation Rings. Experimental Mathematics. 11(2). 303–311. 6 indexed citations

19.

Stein, William, et al.. (2001). Cuspidal Modular Symbols are Transportable. LMS Journal of Computation and Mathematics. 4. 170–181. 3 indexed citations

20.

Stein, William, et al.. (1993). Dispositional traits as risk in problem drinking. Journal of Substance Abuse. 5(4). 401–410. 23 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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