Wilhelm Schlag

Department of Mathematics
University of Chicago
5734 South University Avenue
Chicago, IL 60637

Office phone: (773) 702-7390
Fax: (773) 702-9787
Email: schlag at math dot uchicago dot edu

Vita

Editorial boards

Recent papers

  1. Center-stable manifold of the ground state in the energy space for the critical wave equation
    with Joachim Krieger and Kenji Nakanishi, preprint 2013

  2. Relaxation of wave maps exterior to a ball to harmonic maps for all data
    with Carlos Kenig, Andrew Lawrie, preprint 2013

  3. Exotic blowup solutions for the u^5 focusing wave equation in R^3
    with R. Donninger, M. Huang, J. Krieger, preprint 2012

  4. Full range of blow up exponents for the quintic wave equation in three dimensions
    with Joachim Krieger, preprint 2012

  5. The method of concentration compactness and dispersive Hamiltonian evolution equations.
    Proceedings from the 2012 ICMP at Aalborg, Denmark.

  6. Regularity and convergence rates for the Lyapunov exponents of linear co-cycles
    preprint 2012

  7. Characterization of large energy solutions of the equivariant wave map problem: II
    with Raphael Cote, Carlos Kenig, Andrew Lawrie, preprint 2012

  8. Characterization of large energy solutions of the equivariant wave map problem: I
    with Raphael Cote, Carlos Kenig, Andrew Lawrie, preprint 2012

  9. Energy partition for the linear radial wave equation
    with Raphael Cote, Carlos Kenig, preprint 2012

  10. Threshold phenomenon for the quintic wave equation in three dimensions
    with Joachim Krieger, Kenji Nakanishi, preprint 2012

More...

Slides from talks

  1. Introduction, Lecture 1, Lecture 2, Lecture 3, Lecture 4
    Anderson localization, small divisors, and subharmonic functions
    Slides for the September 15-21 2013 meeting at Maiori, Italy, and the minicourse in Vienna, Austria, 09/25-27, 2013.
    Many thanks to Michael Goldstein and Silvius Klein for helpful suggestions
    which improved the presentation.

  2. Concentration compactness and dispersive Hamiltonian equations
    Slides from the ICMP at Aalborg, Denmark, August, and IMA, Minneapolis, September 2012

  3. Decay of waves on a curved background
    These are an extended form of slides used in various talks describing the dispersive decay of waves
    on curved backgrounds with trapping. Examples are surfaces of revolution which are asymptotically conic, but also the
    Schwarzschild black hole background.

  4. Invariant manifolds for dispersive Hamiltonian evolution equations
    These slides describe the global dynamics of solutions with energies near that of unstable ground state solitons for dispersive
    certain Hamiltonian evolution equations.

  5. Invariant manifolds and dispersive Hamiltonian evolution equations
    This is an overview talk, delivered at the joint AMS/MAA meeting, Boston, January 5, 2012.
More...

Books

Teaching

Meetings and Conferences

Numerical Data