World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
48
Citations
14061
World Ranking
1185
National Ranking
531

Eric M. Rains 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 Eric M. Rains 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: 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 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: 153 publications — 39th percentile

39% of scientists in this discipline score the same or lower.

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

Eric M. Rains 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 Eric M. Rains 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: 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: 48 D-Index — 67th percentile

67% 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

  • 2018 - Fellow of the American Mathematical Society For contributions to quantum information theory and coding theory, the theory of random matrices, the study of special functions, non-commutative geometry and number theory.

Overview

Eric M. Rains is affiliated with the California Institute of Technology in the United States. Their research primarily focuses on mathematics, with a substantial publication record spanning multiple subfields of study.

The main fields of their work include:

  • Mathematics

Their contributions extend deeply into the following subfields:

  • Mathematical Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Eric M. Rains has engaged extensively in research topics such as:

  • Advanced Algebra and Geometry
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Algebraic structures and combinatorial models
  • Finite Group Theory Research
  • Analytic Number Theory Research
  • Homotopy and Cohomology in Algebraic Topology

They have published frequently in venues including:

  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Indagationes Mathematicae
  • Memoirs of the American Mathematical Society
  • Transformation Groups

Their recent papers include:

  • "Elliptic Double Affine Hecke Algebras," 2020, Symmetry Integrability and Geometry Methods and Applications
  • "Bounded Littlewood identities," 2021, Memoirs of the American Mathematical Society
  • "AFLT-type Selberg integrals," 2021, Communications in Mathematical Physics
  • "NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES," 2022, Transformation Groups
  • "An Elliptic Hypergeometric Function Approach to Branching Rules," 2020, Symmetry Integrability and Geometry Methods and Applications

Frequent collaborators in their work include:

  • S. Ole Warnaar
  • Pavel Etingof
  • Seamus P. Albion
  • Alexander Polishchuk
  • Daniil Kalinov

Eric M. Rains was awarded the title of Fellow of the American Mathematical Society in 2018. The citation for this recognition notes contributions to quantum information theory and coding theory, the theory of random matrices, the study of special functions, non-commutative geometry, and number theory.

Best Publications

  • Quantum error correction via codes over GF(4)

    A.R. Calderbank;E.M. Rains;P.M. Shor;N.J.A. Sloane

  • Quantum nonlocality without entanglement

    Charles H. Bennett;David P. DiVincenzo;Christopher A. Fuchs;Tal Mor

  • Quantum Error Correction and Orthogonal Geometry

    A. R. Calderbank;E. M. Rains;P. W. Shor;N. J. A. Sloane

  • Nonbinary quantum codes

    E.M. Rains

  • A semidefinite program for distillable entanglement

    E.M. Rains

  • Self-Dual Codes

    E. M. Rains;N. J. A. Sloane

  • Bound on distillable entanglement

    E. M. Rains

  • Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

    Alexei Borodin;Eric M. Rains

  • Shadow bounds for self-dual codes

    E.M. Rains

  • Transformations of elliptic hypergeometric integrals

    Eric M. Rains

  • Limiting Distributions for a Polynuclear Growth Model with External Sources

    Jinho Baik;Eric M. Rains

  • A logarithmic-depth quantum carry-lookahead adder

    Thomas G. Draper;Samuel A. Kutin;Eric M. Rains;Krysta M. Svore

  • Algebraic aspects of increasing subsequences

    Jinho Baik;Eric M. Rains

  • RIGOROUS TREATMENT OF DISTILLABLE ENTANGLEMENT

    E. M. Rains

  • The asymptotics of monotone subsequences of involutions

    Jinho Baik;Eric M. Rains

  • Increasing Subsequences and the Classical Groups

    Eric M. Rains

  • Self-Dual Codes and Invariant Theory

    G. Nebe;Eric M. Rains;Neil James Alexander Sloane

  • Quantum weight enumerators

    E.M. Rains

  • Correlation functions for symmetrized increasing subsequences

    Eric M. Rains

  • Symmetrized Random Permutations

    Jinho Baik;Eric M. Rains

Frequent Co-Authors

Neil J. A. Sloane
Neil J. A. Sloane OEIS Foundation Inc.
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
Peter J. Forrester
Peter J. Forrester University of Melbourne
Jinho Baik
Jinho Baik University of Michigan–Ann Arbor
A.R. Calderbank
A.R. Calderbank Duke University
Krysta M. Svore
Krysta M. Svore Microsoft (United States)

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