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D-Index & Metrics

Mathematics

D-Index
55
Citations
10072
World Ranking
796
National Ranking
15

Alexander Lubotzky 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 Alexander Lubotzky 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: 213 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.

Alexander Lubotzky 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 Alexander Lubotzky 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: 55 D-Index — 79th percentile

79% 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

  • 2005 - Fellow of the American Academy of Arts and Sciences

Overview

Alexander Lubotzky is affiliated with the Weizmann Institute of Science in Israel. Their research primarily falls within the field of Mathematics, with a focus on several specialized subfields including Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Algebra and Number Theory.

The main topics covered in their work include:

  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Finite Group Theory Research
  • Algebraic Geometry and Number Theory
  • Advanced Topology and Set Theory
  • Advanced Operator Algebra Research
  • semigroups and automata theory

Lubotzky has published extensively in various academic venues. Frequently appearing publication venues include:

  • arXiv (Cornell University)
  • Israel Journal of Mathematics
  • Journal d Analyse Mathématique
  • Groups Geometry and Dynamics
  • Forum of Mathematics Sigma

Notable recent papers include:

  • "STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS", 2020, Forum of Mathematics Sigma
  • "Uncountably many permutation stable groups", 2022, Israel Journal of Mathematics
  • "Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups", 2021, Ergodic Theory and Dynamical Systems
  • "Stability and instability of lattices in semisimple groups", 2023, Journal d Analyse Mathématique
  • "Asymptotic Cohomology and Uniform Stability for Lattices in Semisimple Groups", 2023, arXiv (Cornell University)

Alexander Lubotzky has collaborated frequently with a number of researchers. Frequent coauthors include:

  • Michael Chapman
  • Irit Dinur
  • William Y. Chen
  • Pham Huu Tiep
  • Lev Glebsky

Recognition for Lubotzky's work includes being named a Fellow of the American Academy of Arts and Sciences in 2005.

Best Publications

  • Discrete Groups, Expanding Graphs and Invariant Measures

    Alexander Lubotzky

  • Varieties of Representations of Finitely Generated Groups

    Alexander Lubotzky;Andy R. Magid

  • Ramanujan graphs

    Unknown

  • Powerful p-groups. I. Finite groups

    Alexander Lubotzky;Avinoam Mann

  • Abelian and solvable subgroups of the mapping class groups

    Joan S. Birman;Alex Lubotzky;John McCarthy

  • The probability of generating a finite classical group

    William M. Kantor;Alexander Lubotzky

  • Expander graphs in pure and applied mathematics

    Alexander Lubotzky

  • Explicit expanders and the Ramanujan conjectures

    A Lubotzky;R Phillips;P Sarnak

  • Hecke operators and distributing points on the sphere I

    A. Lubotzky;R. Phillips;Peter Clive Sarnak

  • The word and Riemannian metrics on lattices of semisimple groups

    Alexander Lubotzky;Shahar Mozes;M. S. Raghunathan

  • Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds

    Larry Guth;Alexander Lubotzky

  • Cayley graphs: eigenvalues, expanders and random walks

    Alexander Lubotzky

  • Explicit constructions of Ramanujan complexes of type A d

    Alexander Lubotzky;Beth Samuels;Uzi Vishne

  • Representation growth of linear groups

    Michael D. Larsen;Alexander Lubotzky

  • Ramanujan complexes of typeà d

    Alexander Lubotzky;Beth Samuels;Uzi Vishne

  • Hecke operators and distributing points on S2. II

    A. Lubotzky;R. Phillips;P. Sarnak

  • Groups and Expanders.

    Alexander Lubotzky;Benjamin Weiss

  • Rank-1 phenomena for mapping class groups

    Benson Farb;Alexander Lubotzky;Yair Minsky

  • Subgroup growth and congruence subgroups

    Alexander Lubotzky

  • Powerful p-groups. II. p-adic analytic groups

    Alexander Lubotzky;Avinoam Mann

  • Finite Group Theory

    Alexander Lubotzky;Dan Segal

Frequent Co-Authors

Hyman Bass
Hyman Bass University of Michigan–Ann Arbor
William M. Kantor
William M. Kantor University of Oregon
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Fritz Grunewald
Fritz Grunewald Heinrich Heine University Düsseldorf
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Peter Sarnak
Peter Sarnak Princeton University
Igor Pak
Igor Pak University of California, Los Angeles
Noga Alon
Noga Alon Tel Aviv University
László Babai
László Babai University of Chicago
Avi Wigderson
Avi Wigderson Institute for Advanced Study

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