Joseph H. Silverman
Impact in
- Geometry and Topology top 0.01%
- Algebraic Geometry and Number Theory
- Algebra and Number Theory top 0.2%
- Analytic Number Theory Research
Papers in
-
- Algebraic Geometry and Number Theory 101
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- Advanced Algebra and Geometry 21
- Co-authors
- Jeffrey Hoffstein (18 shared papers)Jill Pipher (12 shared papers)Marc Hindry (8 shared papers)John Tate (7 shared papers)Mohamad Al‐Sheikhly (26 shared papers)William Whyte (9 shared papers)M.R. Cleland (1 shared paper)Nick Howgrave-Graham (3 shared papers)
- Journals
- Journal of Number Theory (12 papers)Mathematics of Computation (7 papers)Journal für die reine und angewandte Mathematik (Crelles Journal) (7 papers)Environmental Science & Technology (6 papers)Inventiones mathematicae (6 papers)
- Partner nations
- United StatesJapanFrance
In The Last Decade
Joseph H. Silverman
291 papers receiving 10.5k citations
Joseph H. Silverman's Hit Papers
Peers
Comparison fields: 5 of 163
- Geometry and Topology 5.8k
- Algebra and Number Theory 2.3k
- Mathematical Physics 2.7k
- Discrete Mathematics and Combinatorics 704
- Theoretical Computer Science 243
Countries citing papers authored by Joseph H. Silverman
This map shows the geographic impact of Joseph H. Silverman'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 Joseph H. Silverman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Joseph H. Silverman more than expected).
Fields of papers citing papers by Joseph H. Silverman
This network shows the impact of papers produced by Joseph H. Silverman. 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 Joseph H. Silverman. The network helps show where Joseph H. Silverman may publish in the future.
Co-authors
The 25 scholars most cited alongside Joseph H. Silverman, 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 343 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Arithmetic of Elliptic Curves Hit paper breakdown → | 1986 | 2534 |
| 2 | NTRU: A ring-based public key cryptosystem Hit paper breakdown → | 1998 | 1234 |
| 3 | The Arithmetic of Elliptic Curves Hit paper breakdown → | 2009 | 982 |
| 4 | Advanced Topics in the Arithmetic of Elliptic Curves Hit paper breakdown → | 1994 | 850 |
| 5 | The Arithmetic of Dynamical Systems Hit paper breakdown → | 2007 | 275 |
| 6 | Radiation Processing of Polymers | 1992 | 236 |
| 7 | 1992 | 223 | |
| 8 | 2003 | 200 | |
| 9 | 2000 | 190 | |
| 10 | 2000 | 188 | |
| 11 | 1952 | 148 | |
| 12 | 1995 | 148 | |
| 13 | 2014 | 114 | |
| 14 | Canonical heights on varieties with morphisms | 1993 | 107 |
| 15 | 2003 | 98 | |
| 16 | 1988 | 95 | |
| 17 | 2001 | 94 | |
| 18 | 1988 | 93 | |
| 19 | 1997 | 87 | |
| 20 | 2001 | 84 |
About Joseph H. Silverman
Joseph H. Silverman is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Artificial Intelligence and Information Systems, having authored 343 papers that have together received 12.1k indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (101 papers), Analytic Number Theory Research (40 papers), Cryptography and Residue Arithmetic (36 papers), Coding theory and cryptography (32 papers), Polynomial and algebraic computation (25 papers), Polymer Nanocomposite Synthesis and Irradiation (24 papers), Cryptography and Data Security (22 papers) and Advanced Algebra and Geometry (21 papers). The work is most often cited by research in Geometry and Topology (5.8k citations), Algebra and Number Theory (2.3k citations), Mathematical Physics (2.7k citations), Discrete Mathematics and Combinatorics (704 citations) and Theoretical Computer Science (243 citations). Joseph H. Silverman has collaborated with scholars based in United States, Japan and France. Frequent co-authors include Jeffrey Hoffstein, Jill Pipher, Marc Hindry, John Tate, Mohamad Al‐Sheikhly, William Whyte, M.R. Cleland, Nick Howgrave-Graham, R. W. Dodson and Gregory S. Call. Their work appears in journals such as Journal of Number Theory, Mathematics of Computation, Journal für die reine und angewandte Mathematik (Crelles Journal), Environmental Science & Technology and Inventiones mathematicae.
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.