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D-Index & Metrics

Mathematics

D-Index
40
Citations
11848
World Ranking
1991
National Ranking
31

Mikhail Kapranov 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 Mikhail Kapranov 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: 129 publications — 26th percentile

26% of scientists in this discipline score the same or lower.

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

Mikhail Kapranov 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 Mikhail Kapranov 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: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Mikhail Kapranov is affiliated with the Kavli Institute for the Physics and Mathematics of the Universe in Japan. Their academic work predominantly focuses on the field of Mathematics, with significant contributions to Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Nuclear and High Energy Physics.

The main topics of their research include:

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

Mikhail Kapranov has published extensively, with 59 publications in Mathematics. Their frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • Journal of the American Mathematical Society
  • Pure and Applied Mathematics Quarterly
  • Publications of the Research Institute for Mathematical Sciences

Recent papers highlight the breadth of their research:

  • The cohomological Hall algebra of a surface and factorization cohomology (2022), Journal of the European Mathematical Society
  • Gel'fand-Fuchs cohomology in algebraic geometry and factorization algebras (2022), Journal of the American Mathematical Society
  • Shuffle algebras and perverse sheaves (2020), Pure and Applied Mathematics Quarterly
  • Perverse Sheaves over Real Hyperplane Arrangements II (2022), Publications of the Research Institute for Mathematical Sciences
  • Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry (2021), Japanese Journal of Mathematics

Collaboration is a notable aspect of Kapranov's work, with frequent coauthors including:

  • Vadim Schechtman
  • Yan Soibelman
  • Tobias Dyckerhoff
  • Éric Vasserot
  • Benjamin Hennion

Best Publications

  • Discriminants, Resultants, and Multidimensional Determinants

    Izrailʹ Moiseevich Gelʹfand;M. M. Kapranov;Andrey V. Zelevinsky

  • Koszul duality for operads

    Victor Ginzburg;Mikhail Kapranov

  • ENHANCED TRIANGULATED CATEGORIES

    A I Bondal;M M Kapranov

  • Non-archimedean amoebas and tropical varieties

    Manfred Einsiedler;Mikhail Kapranov;Douglas Lind

  • On the derived categories of coherent sheaves on some homogeneous spaces

    Unknown

  • REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS

    Unknown

  • Kleinian singularities, derived categories and Hall algebras

    M. Kapranov;E. Vasserot

  • Chow quotients of Grassmannian I

    Unknown

  • Hypergeometric functions and toral manifolds

    Unknown

  • Langlands Reciprocity for Algebraic Surfaces

    Victor Ginzburg;Mikhail Kapranov;Eric Vasserot

  • Quotients of toric varieties

    M. M. Kapranov;B. Sturmfels;A. V. Zelevinsky

  • The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation

    Mikhail M. Kapranov

  • Derived quot schemes

    Ionuţ Ciocan-Fontanine;Mikhail Kapranov

  • Higher Segal Spaces

    Tobias Dyckerhoff;Mikhail Kapranov

  • Chow polytopes and general resultants

    M. M. Kapranov;B. Sturmfels;A. V. Zelevinsky

  • Eisenstein series and quantum affine algebras

    Unknown

  • NONCOMMUTATIVE GEOMETRY BASED ON COMMUTATOR EXPANSIONS

    Mikhail Kapranov

  • Representation and character theory in 2-categories

    Nora Ganter;Mikhail Kapranov

  • Virtual fundamental classes via dg-manifolds

    Ionuţ Ciocan-Fontanine;Mikhail Kapranov

  • Braided monoidal 2-categories and Manin-Schechtman higher braid groups

    M. Kapranov;V. Voevodsky

  • Vertex algebras and the formal loop space

    Mikhail Kapranov;Eric Vasserot

  • Cellular strings on polytopes

    L. J. Billera;M. M. Kapranov;B. Sturmfels

  • Arrangements of hyperplanes and vector bundles on $P^n$

    Unknown

  • Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)

    M. M. Kapranov;V. A. Voevodsky

  • Elliptic Algebras and Equivariant Elliptic Cohomology

    Victor Ginzburg;Mikhail Kapranov;Eric Vasserot

  • Geometry and Dynamics of Groups and Spaces

    Mikhail Kapranov;Yuri Ivanovich Manin;Pieter Moree;Sergiy Kolyada

Frequent Co-Authors

Andrei Zelevinsky
Andrei Zelevinsky Northeastern University
Victor Ginzburg
Victor Ginzburg University of Chicago
Vladimir Voevodsky
Vladimir Voevodsky Institute for Advanced Study
Bernd Sturmfels
Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Ezra Getzler
Ezra Getzler Northwestern University
Louis J. Billera
Louis J. Billera Cornell University
Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics

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