World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
7330
World Ranking
1902
National Ranking
812

Alexander Volberg 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 Volberg 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: 258 publications — 79th percentile

79% of scientists in this discipline score the same or lower.

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

Alexander Volberg 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 Volberg 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: 41 D-Index — 49th percentile

49% 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

  • 2021 - Fellow of the American Mathematical Society For contributions to harmonic analysis and its relations to geometric measure theory.

Overview

Alexander Volberg is affiliated with Michigan State University in the United States and has made contributions primarily to the field of Mathematics, with a focus on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Geometry and Topology, and Numerical Analysis.

The scientist's research spans various main topics including:

  • Advanced Harmonic Analysis Research
  • Holomorphic and Operator Theory
  • Mathematical Analysis and Transform Methods
  • Spectral Theory in Mathematical Physics
  • Advanced Banach Space Theory
  • Advanced Mathematical Modeling in Engineering
  • Meromorphic and Entire Functions

Recent publications include:

  • "Noncommutative Bohnenblust-Hille inequalities," 2023, Mathematische Annalen
  • "Counterexamples for multi-parameter weighted paraproducts," 2020, Comptes Rendus Mathématique
  • "Combinatorial property of all positive measures in dimensions 2 and 3," 2020, Comptes Rendus Mathématique
  • "Carleson embedding on the tri-tree and on the tri-disc," 2022, Revista Matemática Iberoamericana
  • "Bohnenblust-Hille inequality for cyclic groups," 2024, Advances in Mathematics

Alexander Volberg has frequently collaborated with several coauthors, including:

  • Vasily Vasyunin
  • Joseph Slote
  • Haonan Zhang
  • Pavel Mozolyako
  • Georgios Psaromiligkos

Publications have appeared in various venues, with multiple contributions recorded in:

  • arXiv (Cornell University)
  • Comptes Rendus Mathématique
  • St Petersburg Mathematical Journal
  • Advances in Mathematics
  • Journal of Mathematical Analysis and Applications

Alexander Volberg is also an author of a book titled The Bellman Function Technique in Harmonic Analysis, published in 2020 by Cambridge University Press.

Award recognition includes being named a Fellow of the American Mathematical Society in 2021 for contributions to harmonic analysis and its relation to geometric measure theory.

Best Publications

  • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

    A. Kiselev;F. Nazarov;A. Volberg

  • The Tb-theorem on non-homogeneous spaces

    F. Nazarov;S. Treil;A. Volberg

  • Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces

    F. Nazarov;S. Treil;A. Volberg

  • The Bellman functions and two-weight inequalities for Haar multipliers

    F. Nazarov;S. Treil;A. Volberg

  • Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

    Stefanie Petermichl;Alexander Volberg

  • Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces

    F. Nazarov;S. Treil;A. Volberg

  • Wavelets and the Angle between Past and Future

    S Treil;A Volberg

  • On measures with the doubling condition

    A L Vol'berg;S V Konyagin

  • Calderón-Zygmund Capacities and Operators on Nonhomogeneous Spaces

    Alexander Volberg

  • On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

    Fedor Nazarov;Alexander Volberg;Xavier Tolsa

  • Accretive system Tb-theorems on nonhomogeneous spaces

    F. Nazarov;S. Treil;A. Volberg

  • Two weight inequalities for individual Haar multipliers and other well localized operators

    Fedor Nazarov;Sergei Treil;Alexander Volberg

  • Matrix _{} weights via -functions

    A. Volberg

  • Bellman function in stochastic control and harmonic analysis

    F. Nazarov;S. Treil;A. Volberg

  • Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms

    Oliver Dragičević;Alexander Volberg

  • Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures

    Fedor Nazarov;Sergei Treil;Alexander Volberg

  • Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts

    F. Nazarov;G. Pisier;S. Treil;A. Volberg

  • The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces K θ

    F. Nazarov;A. Volberg;A. Volberg

  • Monge--Amp`ere equation and Bellman optimization of Carleson Embedding Theorems

    Vasily Vasyunin;Alexander Volberg

  • Heating of the Ahlfors–Beurling operator, and estimates of its norm

    A. Volberg;F. Nazarov

  • Bellman functions and two weight inequalities for Haar multipliers

    Fedor Nazarov;Sergei Treil;Alexander Volberg

Frequent Co-Authors

Fedor Nazarov
Fedor Nazarov Kent State University
Sergei Treil
Sergei Treil Brown University
Tuomas Hytönen
Tuomas Hytönen Aalto University
Edward B. Saff
Edward B. Saff Vanderbilt University
Carlos Pérez
Carlos Pérez University of the Basque Country
José María Martell
José María Martell Institute of Mathematical Sciences
Boris Solomyak
Boris Solomyak Bar-Ilan University
Steve Hofmann
Steve Hofmann University of Missouri
Douglas P. Hardin
Douglas P. Hardin Vanderbilt University
David Cruz-Uribe
David Cruz-Uribe University of Alabama

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