World's Best Scientists 2026 revealed!
Gregory Berkolaiko

Gregory Berkolaiko

D-Index & Metrics

Mathematics

D-Index
33
Citations
3814
World Ranking
3070
National Ranking
1230

Gregory Berkolaiko 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 Gregory Berkolaiko 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: 82 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: 136 publications — 30th percentile

30% of scientists in this discipline score the same or lower.

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

Gregory Berkolaiko 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 Gregory Berkolaiko 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: 137 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Gregory Berkolaiko is affiliated with Texas A&M University in the United States. Their research primarily focuses on mathematics, with significant contributions across several subfields including mathematical physics, geometry and topology, computational theory and mathematics, applied mathematics, and statistical and nonlinear physics.

The scientist's work spans several main topics, notably:

  • Spectral theory in mathematical physics
  • Graph theory and applications
  • Quantum chaos and dynamical systems
  • Topological and geometric data analysis
  • Matrix theory and algorithms
  • Nonlinear partial differential equations
  • Numerical methods in inverse problems

Gregory Berkolaiko has published extensively, with a substantial number of publications found on arXiv (Cornell University), accounting for 13 papers. Other notable publication venues include:

  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Pure and Applied Analysis
  • Experimental Mathematics
  • Journal of Spectral Theory

Examples of recent papers by the scientist include:

  • Edge-localized states on quantum graphs in the limit of large mass (2020), published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • A local test for global extrema in the dispersion relation of a periodic graph (2022), published in Pure and Applied Analysis
  • Universality of Nodal Count Distribution in Large Metric Graphs (2022), published in Experimental Mathematics
  • Spectral shift via "lateral" perturbation (2022), published in Journal of Spectral Theory
  • Stability of spectral partitions and the Dirichlet-to-Neumann map (2022), published in Calculus of Variations and Partial Differential Equations

They have frequently collaborated with several coauthors, including:

  • Graham Cox
  • Jeremy L. Marzuola
  • Yaiza Canzani
  • Lior Alon
  • Ram Band

The research output of Gregory Berkolaiko reflects a diverse interest in the theoretical aspects of mathematical physics and applied mathematics, with particular emphasis on spectral theory and graph-theoretic approaches related to quantum systems, as well as numerical and topological methods. The scientist continues to contribute in these areas through peer-reviewed journals and open access platforms.

Best Publications

  • Introduction to Quantum Graphs

    Gregory Berkolaiko;Peter Kuchment

  • Quantum Graphs and Their Applications

    Gregory Berkolaiko;Robert Carlson;Stephen A. Fulling;Peter Kuchment

  • Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah

    Gregory Berkolaiko

  • Two-point spectral correlations for star graphs

    G Berkolaiko;Jon P Keating

  • Star graphs and Seba billiards

    Gregory Berkolaiko;Eugene Bogomolny;J.P. Keating;J.P. Keating

  • Surgery principles for the spectral analysis of quantum graphs

    Gregory Berkolaiko;James B. Kennedy;Pavel Kurasov;Delio Mugnolo

  • Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths

    Gregory Berkolaiko;Peter Kuchment

  • Leading off-diagonal correction to the form factor of large graphs.

    Gregory Berkolaiko;Holger Schanz;Robert S. Whitney

  • No Quantum Ergodicity for Star Graphs

    G Berkolaiko;G Berkolaiko;Jon P Keating;B Winn;B Winn

  • NON-EXPONENTIAL STABILITY AND DECAY RATES IN NONLINEAR STOCHASTIC DIFFERENCE EQUATION WITH UNBOUNDED NOISES

    John A. D. Appleby;Gregory Berkolaiko;Alexandra Rodkina

  • A Lower Bound for Nodal Count on Discrete and Metric Graphs

    Gregory Berkolaiko

  • Edge connectivity and the spectral gap of combinatorial and quantum graphs

    Gregory Berkolaiko;James B Kennedy;James B Kennedy;Pavel Kurasov;Delio Mugnolo

  • The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions

    Rami Band;Rami Band;Gregory Berkolaiko;Hillel Moshe Raz;Uzy Smilansky;Uzy Smilansky

  • Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph

    Gregory Berkolaiko;Wen Liu

  • Symmetry and Dirac points in graphene spectrum

    Gregory Berkolaiko;Andrew Comech

  • Limits of quantum graph operators with shrinking edges

    Gregory Berkolaiko;Yuri Latushkin;Selim Sukhtaiev

  • On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D

    G. Berkolaiko;A. Comech

  • On the connection between the number of nodal domains on quantum graphs and the stability of graph partitions

    Ram Band;Gregory Berkolaiko;Hillel Raz;Uzy Smilansky

  • Universality in chaotic quantum transport: the concordance between random-matrix and semiclassical theories.

    Gregory Berkolaiko;Jack Kuipers

  • Surgery principles for the spectral analysis of quantum graphs

    Gregory Berkolaiko;James B. Kennedy;Pavel Kurasov;Delio Mugnolo

  • An elementary introduction to quantum graphs

    Gregory Berkolaiko

  • Star graphs and Seba billiards

    G.Berkolaiko;E.B.Bogomolny;J.P.Keating;J.P.Keating

Frequent Co-Authors

Peter Kuchment
Peter Kuchment Texas A&M University
Jon P Keating
Jon P Keating University of Oxford
Shlomo Havlin
Shlomo Havlin Bar-Ilan University
Pavel Kurasov
Pavel Kurasov Stockholm University
Nick Duffield
Nick Duffield Texas A&M University
Sergey V. Buldyrev
Sergey V. Buldyrev Yeshiva University
Dmitry E. Pelinovsky
Dmitry E. Pelinovsky McMaster University
George H. Weiss
George H. Weiss National Institutes of Health

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