World's Best Scientists 2026 revealed!
Joseph H. Silverman

Joseph H. Silverman

D-Index & Metrics

Mathematics

D-Index
57
Citations
26943
World Ranking
663
National Ranking
332

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.

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: 82 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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 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.

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.

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: 137 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.

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
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
David Pointcheval
David Pointcheval École Normale Supérieure
Neal Koblitz
Neal Koblitz University of Washington
Berk Sunar
Berk Sunar Worcester Polytechnic Institute

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