World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
9651
World Ranking
1346
National Ranking
17

Hiraku Nakajima 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 Hiraku Nakajima 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: 96 publications — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Hiraku Nakajima 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 Hiraku Nakajima 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: 46 D-Index — 64th percentile

64% 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

  • 2003 - Frank Nelson Cole Prize in Algebra

Overview

Hiraku Nakajima is affiliated with the Kavli Institute for the Physics and Mathematics of the Universe in Japan. Their research spans multiple areas within mathematics and physics, with a particular focus on the interplay between geometry, algebra, and theoretical physics.

Their recent papers include:

  • Towards geometric Satake correspondence for Kac-Moody algebras --- Cherkis bow varieties and affine Lie algebras of type A, 2024, Annales Scientifiques de l'École Normale Supérieure
  • Coulomb branches of quiver gauge theories with symmetrizers, 2021, Journal of the European Mathematical Society
  • Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants, 2021, Journal of Geometry and Physics
  • Line bundles over Coulomb branches, 2021, Advances in Theoretical and Mathematical Physics
  • 3d TQFTs from Argyres-Douglas theories, 2020, Journal of Physics A Mathematical and Theoretical

The main fields of study for Nakajima are Mathematics and Physics and Astronomy, with the following subfields receiving significant attention in their work:

  • Geometry and Topology
  • Algebra and Number Theory
  • Mathematical Physics
  • Nuclear and High Energy Physics
  • Statistical and Nonlinear Physics

The research topics commonly addressed include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Black Holes and Theoretical Physics
  • Homotopy and Cohomology in Algebraic Topology
  • Nonlinear Waves and Solitons
  • Advanced Combinatorial Mathematics
  • Algebraic Geometry and Number Theory

Nakajima has frequently collaborated with several researchers, including:

  • Sergei Gukov
  • Du Pei
  • Alexander Braverman
  • Michael Finkelberg
  • Po-Shen Hsin

The venues where Nakajima's work has been published with some frequency include:

  • arXiv (Cornell University)
  • Journal of Geometry and Physics
  • Journal of the European Mathematical Society
  • Journal of Physics A Mathematical and Theoretical
  • Advances in Theoretical and Mathematical Physics

An award received by Nakajima is the Frank Nelson Cole Prize in Algebra, awarded in 2003.

Best Publications

  • Lectures on Hilbert Schemes of Points on Surfaces

    Hiraku Nakajima

  • Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

    Hiraku Nakajima

  • Quiver varieties and Kac-Moody algebras

    Hiraku Nakajima

  • Instanton counting on blowup. I. 4-dimensional pure gauge theory

    Hiraku Nakajima;Kota Yoshioka

  • Quiver varieties and finite dimensional representations of quantum affine algebras

    Hiraku Nakajima

  • On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth

    Shigetoshi Bando;Atsushi Kasue;Hiraku Nakajima

  • Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, I

    Hiraku Nakajima

  • Yang-Mills instantons on ALE gravitational instantons.

    Peter B. Kronheimer;Hiraku Nakajima

  • Heisenberg algebra and Hilbert schemes of points on projective surfaces

    Hiraku Nakajima

  • Lectures on instanton counting

    Hiraku Nakajima;Kota Yoshioka

  • t-ANALOGS OF q-CHARACTERS OF KIRILLOV-RESHETIKHIN MODULES OF QUANTM AFFINE ALGEBRAS

    Hiraku Nakajima

  • Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • Quiver varieties and cluster algebras

    Hiraku Nakajima

  • INSTANTON COUNTING ON BLOWUP. II. K-THEORETIC PARTITION FUNCTION

    Hiraku Nakajima;Kota Yoshioka

  • K-theoretic Donaldson invariants via instanton counting

    Lothar Gottsche;Hiraku Nakajima;Kota Yoshioka

  • Quiver varieties and $t$-analogs of $q$-characters of quantum affine algebras

    Hiraku Nakajima

  • McKay correspondence and Hilbert schemes in dimension three

    Yukari Ito;Hiraku Nakajima

  • Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • Crystal bases and two-sided cells of quantum affine algebras

    Jonathan Beck;Hiraku Nakajima

  • Instanton counting on blowup, I

    Hiraku Nakajima;Kota Yoshioka

Frequent Co-Authors

Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Boris Feigin
Boris Feigin Hebrew University of Jerusalem

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