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Joseph H. Silverman

Joseph H. Silverman

Brown University
United States

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 57 663 563 333 264 246 26943

Joseph H. Silverman publications per year

The chart shows the history of publications by Joseph H. Silverman between 1978 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Joseph H. Silverman published across 48 years, from 1978 to 2025, averaging 5.5 papers a year. Output peaked at 17 publications in 2009. 8 of the 265 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1978 to 2025. Vertical axis: number of publications, 0 to 17. Peak 17 publications in 2009. 1978: 1 publication 1979: 0 publications 1980: 0 publications 1981: 1 publication 1982: 4 publications 1983: 4 publications 1984: 4 publications 1985: 2 publications 1986: 8 publications 1987: 4 publications 1988: 3 publications 1989: 3 publications 1990: 5 publications 1991: 4 publications 1992: 3 publications 1993: 4 publications 1994: 9 publications 1995: 5 publications 1996: 8 publications 1997: 3 publications 1998: 5 publications 1999: 7 publications 2000: 15 publications 2001: 8 publications 2002: 1 publication 2003: 4 publications 2004: 7 publications 2005: 8 publications 2006: 4 publications 2007: 10 publications 2008: 6 publications 2009: 17 publications 2010: 7 publications 2011: 5 publications 2012: 15 publications 2013: 5 publications 2014: 11 publications 2015: 9 publications 2016: 2 publications 2017: 7 publications 2018: 5 publications 2019: 5 publications 2020: 6 publications 2021: 5 publications 2022: 3 publications 2023: 5 publications 2024: 5 publications 2025: 3 publications
1978 2025

265 publications in total across all disciplines

View publications per year as a table
Joseph H. Silverman: publications per year, 1978 to 2025
Year Publications
1978 1
1979 0
1980 0
1981 1
1982 4
1983 4
1984 4
1985 2
1986 8
1987 4
1988 3
1989 3
1990 5
1991 4
1992 3
1993 4
1994 9
1995 5
1996 8
1997 3
1998 5
1999 7
2000 15
2001 8
2002 1
2003 4
2004 7
2005 8
2006 4
2007 10
2008 6
2009 17
2010 7
2011 5
2012 15
2013 5
2014 11
2015 9
2016 2
2017 7
2018 5
2019 5
2020 6
2021 5
2022 3
2023 5
2024 5
2025 3
Total 265
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Joseph H. Silverman publications per year - data summary

  • Joseph H. Silverman, a Mathematics scholar from Brown University, has 265 publications recorded across 48 years, from 1978 to 2025.
  • The oldest publication on record dates to 1978 and the most recent to 2025.
  • The most productive year is 2009, with 17 publications.
  • The least productive years with any output are 1978, 1981 and 2002, with 1 publication each.
  • 2 of the 48 years in the span carry no publications at all (1979 and 1980).
  • The rate of publication averages 5.5 papers per year over the whole span, or 5.8 per year counting only the 46 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 21 publications, 8% of the career total.
  • Split into equal eras - 1978-1993: 50 publications (3.1 per year); 1994-2009: 117 publications (7.3 per year); 2010-2025: 98 publications (6.1 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Joseph H. Silverman publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Joseph H. Silverman sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 242–246 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46 246
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Joseph H. Silverman publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Joseph H. Silverman, a Mathematics scholar from Brown University, records 246 publications - the 76th percentile of the discipline.
  • 76% of ranked Mathematics scientists score the same or lower than Joseph H. Silverman, and about 24% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Joseph H. Silverman ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Joseph H. Silverman D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Joseph H. Silverman sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 57 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 57 D-Index — 82nd percentile

82% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54 57
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Joseph H. Silverman D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Joseph H. Silverman, a Mathematics scholar from Brown University, records 57 D-Index - the 82nd percentile of the discipline.
  • 82% of ranked Mathematics scientists score the same or lower than Joseph H. Silverman, and about 18% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Joseph H. Silverman ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1998 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1998 - Steele Prize for Mathematical Exposition

Overview

Joseph H. Silverman is affiliated with Brown University in the United States. Their research spans several areas within mathematics and computer science, with a particular focus on algebraic geometry, number theory, and cryptography.

The main fields of study for Silverman include:

  • Mathematics
  • Computer Science

Their work delves into multiple subfields, including:

  • Geometry and Topology
  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Discrete Mathematics and Combinatorics

Silverman's research topics prominently cover:

  • Algebraic Geometry and Number Theory
  • Polynomial and algebraic computation
  • Coding theory and cryptography
  • Analytic Number Theory Research
  • Advanced Algebra and Geometry
  • Finite Group Theory Research
  • Cryptography and Residue Arithmetic

Frequent co-authors in Silverman's publications include:

  • Nicole Looper
  • Matthew Litman
  • Austin Tran
  • Wade Hindes
  • Yohsuke Matsuzawa

The venues where Silverman has published works multiple times encompass:

  • arXiv (Cornell University)
  • Journal of Number Theory
  • Transactions of the American Mathematical Society
  • Experimental Mathematics
  • Pacific Journal of Mathematics

Recent papers by Silverman and those closely associated with their research include:

  • "Orbits on K3 Surfaces of Markoff Type" (2023), Experimental Mathematics
  • "The distribution relation and inverse function theorem in arithmetic geometry" (2021), Journal of Number Theory
  • "The size of semigroup orbits modulo primes" (2023), Pacific Journal of Mathematics
  • "A signature scheme from the finite field isomorphism problem" (2020), DOAJ (DOAJ: Directory of Open Access Journals)
  • "A Lehmer-type lower bound for the canonical height on elliptic curves over function fields" (2024), Journal of Number Theory

Silverman has been recognized with multiple awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (1998)
  • Steele Prize for Mathematical Exposition (1998)

Best Publications

  • The Arithmetic of Elliptic Curves

    Joseph H. Silverman

  • Advanced Topics in the Arithmetic of Elliptic Curves

    Joseph H. Silverman

  • NTRU: A Ring-Based Public Key Cryptosystem

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • Rational Points on Elliptic Curves

    Joseph H. Silverman;John T. Tate

  • Diophantine Geometry: An Introduction

    Marc Hindry;Joseph H. Silverman

  • An introduction to mathematical cryptography

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • The Arithmetic of Dynamical Systems

    Joseph H. Silverman

  • NTRUSign: digital signatures using the NTRU lattice

    Jeffrey Hoffstein;Nick Howgrave-Graham;Jill Pipher;Joseph H. Silverman

  • A Friendly Introduction to Number Theory

    Joseph H. Silverman

  • Canonical heights on varieties with morphisms

    Gregory S. Call;Joseph H. Silverman

  • Wieferich's criterion and the abc-conjecture

    Joseph H. Silverman

  • The canonical height and integral points on elliptic curves

    M. Hindry;J. H. Silverman

  • Heights and the specialization map for families of abelian varieties.

    Joseph H. Silverman

  • Modular Forms and Fermat's Last Theorem

    Gary Cornell;Joseph H. Silverman;Glenn Stevens

  • NSS: An NTRU Lattice-Based Signature Scheme

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • The space of rational maps on $\mathbb{P}^1$

    Joseph H. Silverman

  • Rational periodic points of rational functions

    Patrick Morton;Joseph H. Silverman

  • The Impact of Decryption Failures on the Security of NTRU Encryption

    Nick Howgrave-Graham;Phong Q. Nguyen;David Pointcheval;John Proos

  • The difference between the Weil height and the canonical height on elliptic curves

    Joseph H. Silverman

  • Ring-based public key cryptosystem method

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

Frequent Co-Authors

Jill Pipher
Jill Pipher Brown University
John Tate
John Tate Harvard University
Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales
Nigel P. Smart
Nigel P. Smart KU Leuven
Douglas B. West
Douglas B. West University of Illinois at Urbana-Champaign
Phong Q. Nguyen
Phong Q. Nguyen French Institute for Research in Computer Science and Automation - INRIA
Frederik Vercauteren
Frederik Vercauteren KU Leuven
David Pointcheval
David Pointcheval École Normale Supérieure
Neal Koblitz
Neal Koblitz University of Washington
Berk Sunar
Berk Sunar Worcester Polytechnic Institute

External Links

Wikipedia of Joseph H. Silverman Personal website of Joseph H. Silverman Google Scholar page

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Publications: 119

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Publications: 21

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French Institute for Research in Computer Science and Automation - INRIA

Publications: 20

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École Normale Supérieure de Lyon

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