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Mathematics

D-Index
32
Citations
4202
World Ranking
3199
National Ranking
1277

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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