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Mathematics

D-Index
59
Citations
8475
World Ranking
607
National Ranking
305

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to harmonic analysis, mathematical physics, and nonlinear partial differential equations.
  • 2009 - Fellow of John Simon Guggenheim Memorial Foundation
  • 2001 - Fellow of Alfred P. Sloan Foundation

Overview

Wilhelm Schlag is affiliated with Yale University in the United States and operates primarily within the fields of mathematics and physics and astronomy. Their research spans multiple subfields, highlighting expertise in mathematical physics, statistical and nonlinear physics, computational theory and mathematics, applied mathematics, and atomic and molecular physics and optics.

The main topics in Schlag's work include:

  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Quantum chaos and dynamical systems
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems

Recent publications by Wilhelm Schlag cover a range of subjects in analysis, scattering theory, and localization phenomena. Selected papers include:

  • "A higher-dimensional Bourgain-Dyatlov fractaluncertainty principle," 2020, Analysis & PDE
  • "On Localization and the Spectrum of Multi-frequency Quasi-periodic Operators," 2023, Vietnam Journal of Mathematics
  • "Asymptotic stability of the sine-Gordon kink under odd perturbations," 2023, Duke Mathematical Journal
  • "On Modified Scattering for 1D Quadratic Klein-Gordon Equations With Non-Generic Potentials," 2022, International Mathematics Research Notices
  • "An introduction to multiscale techniques in the theory of Anderson localization, Part I," 2022, Nonlinear Analysis

Schlag collaborates frequently with several researchers, including Jonas Lührmann, Rui Han, Alex Cohen, Zhenhao Li, and Jacek Jendrej. Frequent publication venues besides the journals listed include arXiv (Cornell University), where 12 of their publications are found, as well as the Vietnam Journal of Mathematics, Analysis & PDE, and the American Journal of Mathematics.

The scholar has been recognized by various awards and fellowships such as:

  • Fellow of the American Mathematical Society, 2015, for contributions to harmonic analysis, mathematical physics, and nonlinear partial differential equations
  • Fellow of John Simon Guggenheim Memorial Foundation, 2009
  • Fellow of Alfred P. Sloan Foundation, 2001

Best Publications

  • Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

    Igor Rodnianski;Wilhelm Schlag

  • Sixty Years of Bernoulli Convolutions

    Yuval Peres;Yuval Peres;Wilhelm Schlag;Boris Solomyak

  • Classical and Multilinear Harmonic Analysis

    Camil Muscalu;Wilhelm Schlag

  • Renormalization and blow up for charge one equivariant critical wave maps

    Joachim Krieger;W. Schlag;D. Tataru

  • Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions

    Michael Goldstein;Wilhelm Schlag

  • Dispersive Estimates for Schrödinger Operators in Dimensions One and Three

    Michael Goldberg;Wilhelm Schlag

  • Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions

    Yuval Peres;Wilhelm Schlag

  • Slow blow-up solutions for the H1(R3) critical focusing semilinear wave equation

    Joachim Krieger;Wilhelm Schlag;Daniel Tataru

  • Asymptotic stability of N-soliton states of NLS

    I. Rodnianski;W. Schlag;A. Soffer

  • Invariant Manifolds and Dispersive Hamiltonian Evolution Equations

    Kenji Nakanishi;Wilhelm Schlag

  • Fine Properties of the Integrated Density of States and aQuantitative Separation Property of the Dirichlet Eigenvalues

    Michael Goldstein;Wilhelm Schlag

  • LOCAL SMOOTHING ESTIMATES RELATED TO THE CIRCULAR MAXIMAL THEOREM

    Wilhelm Schlag;Christopher D. Sogge

  • Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential

    Jean Bourgain;Michael Goldstein;Michael Goldstein;Wilhelm Schlag

  • On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background

    Roland Donninger;Wilhelm Schlag;Avy Soffer

  • Concentration Compactness for Critical Wave Maps

    Joachim Krieger;Wilhelm Schlag

  • Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension

    Joachim Krieger;W. Schlag

  • Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I

    M. Burak Erdoğan;Wilhelm Schlag

  • Dispersive Estimates for Schrödinger Operators in Dimension Two

    W. Schlag

  • Stable manifolds for an orbitally unstable nonlinear Schrödinger equation

    Wilhelm Schlag

  • Anderson Localization for Schrödinger Operators on ℤ with Potentials Given by the Skew–Shift

    Jean Bourgain;Michael Goldstein;Wilhelm Schlag

  • On the focusing critical semi-linear wave equation

    Joachim Krieger;W. Schlag

  • Classical and Multilinear Harmonic Analysis: Conjugate harmonic functions; Hilbert transform

    Camil Muscalu;Wilhelm Schlag

  • Classical and Multilinear Harmonic Analysis: References

    Camil Muscalu;Wilhelm Schlag

Frequent Co-Authors

Kenji Nakanishi
Kenji Nakanishi Kyoto University
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Igor Rodnianski
Igor Rodnianski Princeton University
Daniel Tataru
Daniel Tataru University of California, Berkeley
Jean Bourgain
Jean Bourgain Institute for Advanced Study
David Damanik
David Damanik Rice University
Nicolas Burq
Nicolas Burq University of Paris-Saclay
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Fritz Gesztesy
Fritz Gesztesy Baylor University

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