World's Best Scientists 2026 revealed!

Overview

Sergei Treil is affiliated with Brown University in the United States and has a substantial research footprint in the field of Mathematics, with a particular focus on Applied Mathematics and Mathematical Physics. Their academic output includes 51 publications, indicating active involvement in advancing mathematical theory and applications.

Their research spans several subfields of study, including:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Control and Systems Engineering
  • Discrete Mathematics and Combinatorics

The main topics of interest in Treil's work cover:

  • Spectral Theory in Mathematical Physics
  • Holomorphic and Operator Theory
  • Matrix Theory and Algorithms
  • Advanced Harmonic Analysis Research
  • Numerical methods in inverse problems
  • Mathematical Analysis and Transform Methods
  • Advanced Mathematical Physics Problems

Their frequent co-authors include:

  • Alexander Pushnitski
  • Constanze Liaw
  • Alexander Volberg
  • Joshua Isralowitz
  • Sandra Pott

Sergei Treil's recent papers highlight a focus on matrix theory, operator analysis, and harmonic analysis approaches. Some key recent publications are:

  • Commutators in the two scalar and matrix weighted setting, 2022, Journal of the London Mathematical Society
  • Matrix measures and finite rank perturbations of self-adjoint operators, 2020, Journal of Spectral Theory
  • Matrix-valued Aleksandrov-Clark measures and Carathéodory angular derivatives, 2020, Journal of Functional Analysis
  • The matrix-weighted dyadic convex body maximal operator is not bounded, 2022, Advances in Mathematics
  • Dyadic bi-parameter repeated commutator and dyadic product BMO, 2021, arXiv (Cornell University)

The venues where Treil publishes frequently reflect their domains of expertise and include:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Journal of the London Mathematical Society
  • Journal of Spectral Theory
  • Journal of Functional Analysis

Best Publications

  • 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

  • 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

  • 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

  • Bellman function in stochastic control and harmonic analysis

    F. Nazarov;S. Treil;A. 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 stable rank of the algebra H∞ equals 1

    S Treil

  • The Inverse Spectral Problem for Self-Adjoint Hankel Operators

    A. V. Megretskii;A. V. Megretskii;V. V. Peller;V. V. Peller;S. R. Treil

  • A remark on two weight estimates for positive dyadic operators

    Sergei Treil

  • Why the Riesz transforms are averages of the dyadic shifts

    Stefanie Petermichl;Sergei Treil;Alexander Volberg

  • Sharp weighted estimates for dyadic shifts and the A2 conjecture

    Tuomas Hytönen;Carlos Pérez;Sergei Treil;Alexander Volberg

  • A fixed point approach to Nehari’s problem and its applications

    Sergei Treil;Alexander Volberg

  • Convex body domination and weighted estimates with matrix weights

    Fedor Nazarov;Stefanie Petermichl;Sergei Treil;Alexander Volberg

  • Bellman functions and two weight inequalities for Haar multipliers

    Fedor Nazarov;Sergei Treil;Alexander Volberg

  • The Tb-theorem on non-homogeneous spaces that proves a conjecture of Vitushkin

    F. Nazarov;S. Treil;A. Volberg

  • On $A_2$ conjecture and corona decomposition of weights

    Carlos Perez;Sergei Treil;Alexander Volberg

Frequent Co-Authors

Alexander Volberg
Alexander Volberg Michigan State University
Fedor Nazarov
Fedor Nazarov Kent State University
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
Carlos Pérez
Carlos Pérez University of the Basque Country
Tuomas Hytönen
Tuomas Hytönen Aalto University
Steven G. Krantz
Steven G. Krantz Washington University in St. Louis
Eric T. Sawyer
Eric T. Sawyer McMaster University
Jill Pipher
Jill Pipher Brown University
Gilles Pisier
Gilles Pisier Texas A&M University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, exploring related online degrees can open diverse career pathways. Many professionals pursue advanced business education, such as an cheapest dba online program, which blends analytical skills with leadership training. This option offers affordability without compromising quality, making it ideal for those seeking doctoral-level credentials.

Finance is another popular avenue for math graduates, with numerous masters in finance online programs available. These programs emphasize quantitative analysis and risk management, preparing students for roles in investment banking, financial planning, and beyond.

For career changers or those eager to accelerate their professional growth, accelerated online mba programs provide a fast-track to management positions. These courses often accommodate busy schedules while delivering foundational business knowledge and strategic skills.

Digital marketing also presents exciting opportunities for mathematically inclined individuals. An ms in digital marketing degree cost usa can be surprisingly affordable, and the combination of data analytics with marketing expertise helps graduates thrive in a competitive digital landscape.

Best Scientists Citing Sergei Treil

Trending Scientists

Recently Published Articles