World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
11664
World Ranking
836
National Ranking
19

Igor E. Shparlinski 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 Igor E. Shparlinski 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: 840 publications — 99th percentile

99% of scientists in this discipline score the same or lower.

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

Igor E. Shparlinski 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 Igor E. Shparlinski 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: 54 D-Index — 78th percentile

78% 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

  • 2006 - Fellow of the Australian Academy of Science

Overview

Igor E. Shparlinski is affiliated with the University of New South Wales in Australia. Their research spans the fields of Mathematics and Computer Science, with a substantial focus on Algebra and Number Theory, Discrete Mathematics and Combinatorics, Artificial Intelligence, Geometry and Topology, and Mathematical Physics.

The main topics covered in their work include:

  • Analytic Number Theory Research
  • Coding theory and cryptography
  • Limits and Structures in Graph Theory
  • Algebraic Geometry and Number Theory
  • Finite Group Theory Research
  • Mathematical Dynamics and Fractals
  • Advanced Mathematical Identities

Several recent papers authored or co-authored by Shparlinski highlight their contributions in various specialized areas:

  • "Bilinear forms in Weyl sums for modular square roots and applications" (2020), published in UNSWorks (University of New South Wales, Sydney, Australia)
  • "On large values of Weyl sums" (2020), published in UNSWorks (University of New South Wales, Sydney, Australia)
  • "Congruences with intervals and arbitrary sets" (2020), published in UNSWorks (University of New South Wales, Sydney, Australia)
  • "Hausdorff dimension of the large values of Weyl sums" (2020), published in Journal of Number Theory
  • "On the Structure of Graphs of Markoff Triples" (2020), published in The Quarterly Journal of Mathematics

Frequent co-authors collaborating with Shparlinski include:

  • Alina Ostafe
  • Bryce Kerr
  • Changhao Chen
  • László Mérai
  • Moubariz Z. Garaev

Their publication record encompasses several academic venues where they have consistently contributed, including:

  • arXiv (Cornell University)
  • Journal of Number Theory
  • UNSWorks (University of New South Wales, Sydney, Australia)
  • Finite Fields and Their Applications
  • Canadian Mathematical Bulletin

In terms of book publications, Igor E. Shparlinski has contributed to the American Mathematical Society's volume titled 75 Years of Mathematics of Computation published in 2020.

They have been recognized as a Fellow of the Australian Academy of Science since 2006.

Best Publications

  • Character Sums with Exponential Functions and their Applications

    Sergei Konyagin;Igor Shparlinski

  • The Insecurity of the Digital Signature Algorithm with Partially Known Nonces

    Unknown

  • The insecurity of the digital signature algorithm with partially known nonces

    Phong Q. Nguyen;Igor E. Shparlinski

  • The Insecurity of the Elliptic Curve Digital Signature Algorithm with Partially Known Nonces

    Phong Q. Nguyen;Igor E. Shparlinski

  • Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography

    Igor Shparlinski

  • Elliptic divisibility sequences

    Graham Everest;Alf van der Poorten;Igor Shparlinski;Thomas Ward

  • Finite Fields: Theory and Computation

    Igor E. Shparlinski

  • Computational and Algorithmic Problems in Finite Fields

    Igor E. Shparlinski

  • Parameters Of Integral Circulant Graphs And Periodic Quantum Dynamics

    Nitin Saxena;Simone Severini;Igor E. Shparlinski

  • On the statistical properties of Diffie-Hellman distributions

    Ran Canetti;John Friedlander;Sergei Konyagin;Michael Larsen

  • Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness

    Igor E. Shparlinski

  • Period of the power generator and small values of Carmichael's function

    John B. Friedlander;Carl Pomerance;Igor E. Shparlinski

  • Graphs with integral spectrum

    Omran Ahmadi;Noga Alon;Ian F. Blake;Igor E. Shparlinski

  • Cryptographic Applications of Analytic Number Theory

    Igor Shparlinski

  • On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields

    David R. Kohel;Igor Shparlinski

  • Character sums with exponential functions

    John B. Friedlander;Jan Hansen;Igor E. Shparlinski

  • Distribution of Modular Sums and the Security of the Server Aided Exponentiation

    Phong Q. Nguyen;Igor E. Shparlinski;Jacques Stern

  • On Polynomial Approximation of the Discrete Logarithm and the Diffie--Hellman Mapping

    Don Coppersmith;Igor Shparlinski

  • Pseudorandomness and Dynamics of Fermat Quotients

    Alina Ostafe;Igor E. Shparlinski

  • On the cycle structure of repeated exponentiation modulo a prime

    Wun Seng Chou;Igor E. Shparlinski

  • Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators

    Harald Niederreiter;Igor E. Shparlinski

Frequent Co-Authors

John B. Friedlander
John B. Friedlander University of Toronto
Joachim von zur Gathen
Joachim von zur Gathen University of Bonn
Carl Pomerance
Carl Pomerance Dartmouth College
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Harald Niederreiter
Harald Niederreiter Austrian Academy of Sciences
Marek Karpinski
Marek Karpinski University of Bonn
Phong Q. Nguyen
Phong Q. Nguyen French Institute for Research in Computer Science and Automation - INRIA
Umberto Zannier
Umberto Zannier Scuola Normale Superiore di Pisa
Ron Steinfeld
Ron Steinfeld Monash University
Pierre-Alain Fouque
Pierre-Alain Fouque University of Rennes

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