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Igor E. Shparlinski

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 54 836 714 19 17 840 11664

Igor E. Shparlinski publications per year

The chart shows the history of publications by Igor E. Shparlinski between 1987 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Igor E. Shparlinski published across 39 years, from 1987 to 2025, averaging 24 papers a year. Output peaked at 57 publications in 2003. 55 of the 936 publications appeared in the last two years.

No. of publications
10 20 30 40 50
Bar chart. Horizontal axis: year, 1987 to 2025. Vertical axis: number of publications, 0 to 57. Peak 57 publications in 2003. 1987: 2 publications 1988: 0 publications 1989: 1 publication 1990: 0 publications 1991: 2 publications 1992: 12 publications 1993: 4 publications 1994: 2 publications 1995: 6 publications 1996: 9 publications 1997: 0 publications 1998: 3 publications 1999: 52 publications 2000: 22 publications 2001: 30 publications 2002: 27 publications 2003: 57 publications 2004: 29 publications 2005: 44 publications 2006: 43 publications 2007: 39 publications 2008: 43 publications 2009: 38 publications 2010: 39 publications 2011: 36 publications 2012: 26 publications 2013: 29 publications 2014: 29 publications 2015: 23 publications 2016: 30 publications 2017: 26 publications 2018: 23 publications 2019: 26 publications 2020: 37 publications 2021: 42 publications 2022: 20 publications 2023: 30 publications 2024: 29 publications 2025: 26 publications
1987 2025

936 publications in total across all disciplines

View publications per year as a table
Igor E. Shparlinski: publications per year, 1987 to 2025
Year Publications
1987 2
1988 0
1989 1
1990 0
1991 2
1992 12
1993 4
1994 2
1995 6
1996 9
1997 0
1998 3
1999 52
2000 22
2001 30
2002 27
2003 57
2004 29
2005 44
2006 43
2007 39
2008 43
2009 38
2010 39
2011 36
2012 26
2013 29
2014 29
2015 23
2016 30
2017 26
2018 23
2019 26
2020 37
2021 42
2022 20
2023 30
2024 29
2025 26
Total 936
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Igor E. Shparlinski publications per year - data summary

  • Igor E. Shparlinski, a Mathematics scholar from University of New South Wales, has 936 publications recorded across 39 years, from 1987 to 2025.
  • The oldest publication on record dates to 1987 and the most recent to 2025.
  • The most productive year is 2003, with 57 publications.
  • The least productive year with any output is 1989, with 1 publication.
  • 3 of the 39 years in the span carry no publications at all (1988, 1990 and 1997).
  • The rate of publication averages 24.0 papers per year over the whole span, or 26.0 per year counting only the 36 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 147 publications, 16% of the career total.
  • Split into equal eras - 1987-1999: 93 publications (7.2 per year); 2000-2012: 473 publications (36.4 per year); 2013-2025: 370 publications (28.5 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

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, 537+ 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: 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.

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
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+ 100 840
Download as CSV

Igor E. Shparlinski 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.
  • Igor E. Shparlinski, a Mathematics scholar from University of New South Wales, records 840 publications - the 99th percentile of the discipline.
  • 99% of ranked Mathematics scientists score the same or lower than Igor E. Shparlinski, and about 1% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Igor E. Shparlinski 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).

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.

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, 54 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: 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.

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 54
55 50
56 42
57 54
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

Igor E. Shparlinski 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.
  • Igor E. Shparlinski, a Mathematics scholar from University of New South Wales, records 54 D-Index - the 78th percentile of the discipline.
  • 78% of ranked Mathematics scientists score the same or lower than Igor E. Shparlinski, and about 22% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Igor E. Shparlinski 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

  • 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

External Links

Personal website of Igor E. Shparlinski Google Scholar page

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Best Scientists Citing Igor E. Shparlinski

Harald Niederreiter

Harald Niederreiter

Austrian Academy of Sciences

Publications: 26

Carl Pomerance

Carl Pomerance

Dartmouth College

Publications: 22

Joseph H. Silverman

Joseph H. Silverman

Brown University

Publications: 20

Tanja Lange

Tanja Lange

Eindhoven University of Technology

Publications: 19

Jean Bourgain

Jean Bourgain

Institute for Advanced Study

Publications: 18

Joachim von zur Gathen

Joachim von zur Gathen

University of Bonn

Publications: 15

Pierre-Alain Fouque

Pierre-Alain Fouque

University of Rennes

Publications: 15

Mehdi Tibouchi

Mehdi Tibouchi

NTT (Japan)

Publications: 14

Damien Vergnaud

Damien Vergnaud

Institut Universitaire de France

Publications: 13

Ivan Gutman

Ivan Gutman

University of Kragujevac

Publications: 12

Xiang-Gen Xia

Xiang-Gen Xia

University of Delaware

Publications: 11

Eike Kiltz

Eike Kiltz

Ruhr University Bochum

Publications: 9

Michael N. Vrahatis

Michael N. Vrahatis

University of Patras

Publications: 9

Daniel J. Bernstein

Daniel J. Bernstein

University of Illinois at Chicago

Publications: 9

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Chris Godsil

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Publications: 8

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