William Stein
Impact in
- Algebra and Number Theory top 5%
- Analytic Number Theory Research
- Advanced Mathematical Identities
- Geometry and Topology top 2%
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
Papers in
-
- Algebraic Geometry and Number Theory 29
- Geometric and Algebraic Topology 6
-
- Advanced Algebra and Geometry 20
- Co-authors
- David Joyner (1 shared paper)Brian Conrad (3 shared papers)Bas Edixhoven (2 shared papers)Kenneth A. Ribet (2 shared papers)Barry Mazur (3 shared papers)Mark E. Watkins (2 shared papers)Michael Stoll (2 shared papers)Clément Pernet (1 shared paper)
- Journals
- Mathematics of Computation (6 papers)Journal of Number Theory (4 papers)Documenta Mathematica (3 papers)International Mathematics Research Notices (3 papers)Pure and Applied Mathematics Quarterly (1 paper)
- Partner nations
- United StatesUnited KingdomGermany
In The Last Decade
William Stein
43 papers receiving 530 citations
Peers
Comparison fields: 5 of 79
- Algebra and Number Theory 241
- Geometry and Topology 380
- Mathematical Physics 310
- Discrete Mathematics and Combinatorics 75
- Theoretical Computer Science 9
Countries citing papers authored by William Stein
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
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-authors
The 25 scholars most cited alongside William Stein, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 44 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2007 | 140 | |
| 2 | 2005 | 49 | |
| 3 | Elementary number theory | 2009 | 31 |
| 4 | 2001 | 27 | |
| 5 | 2003 | 23 | |
| 6 | 1993 | 23 | |
| 7 | 2006 | 23 | |
| 8 | Explicit approaches to modular abelian varieties | 2000 | 20 |
| 9 | J1(p) Has Connected Fibers | 2003 | 19 |
| 10 | 2009 | 19 | |
| 11 | 2004 | 17 | |
| 12 | 2007 | 16 | |
| 13 | 2002 | 15 | |
| 14 | 2009 | 15 | |
| 15 | 2008 | 14 | |
| 16 | 2001 | 13 | |
| 17 | 2010 | 12 | |
| 18 | 2012 | 11 | |
| 19 | 2015 | 10 | |
| 20 | 2004 | 10 |
About William Stein
William Stein is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics and Information Systems, having authored 44 papers that have together received 607 indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (29 papers), Advanced Algebra and Geometry (20 papers), Analytic Number Theory Research (17 papers), Geometric and Algebraic Topology (6 papers), Finite Group Theory Research (6 papers), Cryptography and Residue Arithmetic (5 papers), Polynomial and algebraic computation (4 papers) and Advanced Mathematical Theories and Applications (3 papers). The work is most often cited by research in Algebra and Number Theory (241 citations), Geometry and Topology (380 citations), Mathematical Physics (310 citations), Discrete Mathematics and Combinatorics (75 citations) and Theoretical Computer Science (9 citations). William Stein has collaborated with scholars based in United States, United Kingdom and Germany. Frequent co-authors include David Joyner, Brian Conrad, Bas Edixhoven, Kenneth A. Ribet, Barry Mazur, Mark E. Watkins, Michael Stoll, Clément Pernet, Edward F. Schaefer and Franck Leprévost. Their work appears in journals such as Mathematics of Computation, Journal of Number Theory, Documenta Mathematica, International Mathematics Research Notices and Pure and Applied Mathematics Quarterly.
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.