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D-Index & Metrics

Mathematics

D-Index
31
Citations
3242
World Ranking
3385
National Ranking
1324

Igor Pak 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 Pak 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: 215 publications — 67th percentile

67% of scientists in this discipline score the same or lower.

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

Igor Pak 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 Pak 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: 31 D-Index — 9th percentile

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

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

Overview

Igor Pak is affiliated with the University of California, Los Angeles in the United States. Their research spans primarily the fields of Mathematics and Computer Science, with significant contributions to subfields including Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, Algebra and Number Theory, Geometry and Topology, and Statistics and Probability.

Their work covers main topics such as Advanced Combinatorial Mathematics, Advanced Mathematical Identities, Limits and Structures in Graph Theory, Markov Chains and Monte Carlo Methods, Commutative Algebra and Its Applications, Random Matrices and Applications, and Algebraic Structures and Combinatorial Models.

Igor Pak's frequent publication venues include arXiv (Cornell University), The Electronic Journal of Combinatorics, Transactions of the American Mathematical Society, Algebraic Combinatorics, and Notices of the American Mathematical Society. Their notable recent papers include:

  • Bounds on Kronecker coefficients via contingency tables, 2020, Linear Algebra and its Applications
  • Exact Exponential Algorithms for Two Poset Problems, 2020, arXiv (Cornell University)
  • Counting Linear Extensions of Restricted Posets, 2020, The Electronic Journal of Combinatorics
  • Lower bounds for contingency tables via Lorentzian polynomials, 2022, Israel Journal of Mathematics
  • Introduction to the combinatorial atlas, 2022, Expositiones Mathematicae

Igor Pak has collaborated frequently with several researchers. The most common coauthors include Swee Hong Chan, Greta Panova, Alejandro H. Morales, Christian Ikenmeyer, and Nikita Gladkov.

Best Publications

  • Partition bijections, a survey

    Igor Pak

  • Lifting Markov chains to speed up mixing

    Fang Chen;László Lovász;Igor Pak

  • Log-concavity of the partition function

    Stephen DeSalvo;Igor Pak

  • The product replacement algorithm and Kazhdan’s property (T)

    Alexander Lubotzky;Igor Pak;Igor Pak

  • A direct bijective proof of the hook-length formula

    Jean-Christophe Novelli;Igor Pak;Alexander V. Stoyanovskii

  • WHAT DO WE KNOW ABOUT THE PRODUCT REPLACEMENT ALGORITHM

    Igor Pak

  • On non-uniqueness of percolation on nonamenable Cayley graphs *

    Igor Pak;Tatiana Smirnova-Nagnibeda

  • Combinatorics and geometry of Littlewood-Richardson cones

    Igor Pak;Ernesto Vallejo

  • The Kauffman Bracket of Virtual Links and the Bollobás–Riordan Polynomial

    Sergei Chmutov;Igor Pak

  • Hook formulas for skew shapes I. q-analogues and bijections

    Alejandro H. Morales;Igor Pak;Greta Panova

  • Increasing trees and alternating permutations

    A G Kuznetsov;I M Pak;A E Postnikov

  • Four Questions on Birkhoff Polytope

    I. Pak

  • Groups of Intermediate Growth, an Introduction

    Rostislav Grigorchuk;Igor Pak

  • Bijections for refined restricted permutations

    Sergi Elizalde;Igor Pak

  • Hamiltonian paths in Cayley graphs

    Igor Pak;Radoš Radoičić

  • Ribbon tile invariants

    Igor Pak;Igor Pak

  • The product replacement algorithm is polynomial

    I. Pak

  • Hook length formula and geometric combinatorics.

    Igor Pak

  • The shape of random pattern-avoiding permutations

    Sam Miner;Igor Pak

  • Rigidity and polynomial invariants of convex polytopes

    Maksym Fedorchuk;Igor Pak

  • On the complexity of computing Kronecker coefficients

    Igor Pak;Greta Panova

  • Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and k -ARY trees

    Igor Pak

  • Kronecker products, characters, partitions, and the tensor square conjectures

    Igor Pak;Greta Panova;Ernesto Vallejo

  • The Kauffman bracket of virtual links and the Bollob'as-Riordan polynomial

    Sergei Chmutov;Igor Pak

Frequent Co-Authors

Rostislav Grigorchuk
Rostislav Grigorchuk Texas A&M University
Robin Pemantle
Robin Pemantle University of Pennsylvania
László Lovász
László Lovász Eötvös Loránd University
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Cristopher Moore
Cristopher Moore Santa Fe Institute
Don Coppersmith
Don Coppersmith IBM (United States)
László Babai
László Babai University of Chicago
Van Vu
Van Vu Yale University

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