World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
4202
World Ranking
3200
National Ranking
1277

Stanislaw J. Szarek 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 Stanislaw J. Szarek 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: 97 publications — 9th percentile

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

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

Stanislaw J. Szarek 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 Stanislaw J. Szarek 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: 32 D-Index — 14th percentile

14% 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

  • 2013 - Fellow of the American Mathematical Society
  • 1986 - Fellow of Alfred P. Sloan Foundation

Overview

Stanislaw J. Szarek is affiliated with Case Western Reserve University in the United States. Their research spans multiple areas within mathematics and physics, with a particular focus on topics related to quantum mechanics, geometric inequalities, and numerical analysis.

Their recent publications include:

  • "Universal Gaps for XOR Games from Estimates on Tensor Norm Ratios" (2020) published in Communications in Mathematical Physics
  • "Constructive nonlocal games with very small classical values" (2021) published on arXiv (Cornell University)
  • "DEPENDENCE ON CHEMICAL INDUSTRY PRODUCTS MADE FROM OIL AND GAS - ON THE WAY TO THE ANNIHILATION OF HUMANITY" (2023) published in Zeszyty Naukowe Uniwersytetu Przyrodniczo-Humanistycznego w Siedlcach Seria Administracja i Zarządzanie
  • "Optimal constants in concentration inequalities on the sphere and in the Gauss space" (2024) published on arXiv (Cornell University)
  • "Radii of Euclidean sections of ℓ_p-balls" (2024) published on arXiv (Cornell University)

Frequent co-authors in Szarek's research include:

  • Guillaume Aubrun
  • Ludovico Lami
  • Carlos Palazuelos
  • Andreas Winter
  • Monika Rosicka

The venues where Szarek commonly publishes cover both traditional peer-reviewed journals and preprint archives, with frequent appearances in:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Zeszyty Naukowe Uniwersytetu Przyrodniczo-Humanistycznego w Siedlcach Seria Administracja i Zarządzanie

The principal fields of study in their work are:

  • Mathematics
  • Physics and Astronomy

Within these broad domains, Szarek's subfields of study consist of:

  • Atomic and Molecular Physics, and Optics
  • Applied Mathematics
  • Numerical Analysis
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Main research topics investigated by Szarek include:

  • Quantum Mechanics and Applications
  • Point processes and geometric inequalities
  • Mathematical Approximation and Integration
  • Noncommutative and Quantum Gravity Theories
  • Markov Chains and Monte Carlo Methods
  • Computability, Logic, AI Algorithms
  • Game Theory and Applications

Szarek's academic career has been recognized with several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1986)

Best Publications

  • Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces

    Kenneth R. Davidson;Stanislaw J. Szarek

  • An analysis of completely positive trace-preserving maps on M2

    Mary Beth Ruskai;Stanislaw Szarek;Stanislaw Szarek;Elisabeth Werner;Elisabeth Werner

  • On the best constants in the Khinchin inequality

    S. J. Szarek

  • Condition numbers of random matrices

    Stanislaw J. Szarek

  • The Flatness Theorem for Nonsymmetric Convex Bodies via the Local Theory of Banach Spaces

    Wojciech Banaszczyk;Alexander E. Litvak;Alain Pajor;Stanislaw J. Szarek

  • Hastings' additivity counterexample via Dvoretzky's theorem

    Guillaume Aubrun;Stanislaw Szarek;Elisabeth Werner

  • Hastings's Additivity Counterexample via Dvoretzky's Theorem

    Guillaume Aubrun;Stanisław Szarek;Stanisław Szarek;Elisabeth M Werner;Elisabeth M Werner

  • The finite dimensional basis problem with an appendix on nets of Grassmann manifolds

    Stanislaw J. Szarek;Stanislaw J. Szarek

  • Spaces with large distance to l∞n and random matrices

    Stanislaw J. Szarek

  • Tensor products of convex sets and the volume of separable states on N qudits

    Guillaume Aubrun;Stanisław J. Szarek

  • A Banach space without a basis which has the bounded approximation property

    Stanislaw J. Szarek

  • A Nonsymmetric Correlation Inequality for Gaussian Measure

    Stanislaw J. Szarek;Elisabeth Werner

  • Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory

    Guillaume Aubrun;Stanisław Szarek;Stanisław Szarek

  • On Distance-based Inconsistency Reduction Algorithms for Pairwise Comparisons

    Waldemar W. Koczkodaj;S. J. Szarek

  • On the duality problem for entropy numbers of operators

    J. Bourgain;A. Pajor;S. J. Szarek;N. Tomczak-Jaegermann

  • Volume of separable states is super-doubly-exponentially small in the number of qubits

    Stanislaw J. Szarek

  • Entanglement Thresholds for Random Induced States

    Guillaume Aubrun;Stanislaw J. Szarek;Stanislaw J. Szarek;Deping Ye

  • Duality of metric entropy

    Shiri Artstein;Vitali Milman;Stanisław J. Szarek

  • Metric Entropy of Homogeneous Spaces

    Stanislaw J. Szarek

  • The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization

    J. Bourgain;S. J. Szarek

Frequent Co-Authors

Elisabeth M. Werner
Elisabeth M. Werner Case Western Reserve University
Vitali Milman
Vitali Milman Tel Aviv University
Nicole Tomczak-Jaegermann
Nicole Tomczak-Jaegermann University of Alberta
Andreas Winter
Andreas Winter University of Cologne
Karol Życzkowski
Karol Życzkowski Jagiellonian University
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Michel Talagrand
Michel Talagrand Centre national de la recherche scientifique, CNRS
Alain Pajor
Alain Pajor Université Paris Cité

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