Bobby Wilson

About Me

I am an Assistant Professor at the University of Washington. From July 2015-June 2018 I was a CLE Moore Instructor at MIT. I obtained my PhD at the University of Chicago under the supervision of Prof. Wilhelm Schlag.

The University of Washington
Padelford Hall, Room 344
Seattle, WA 98195

Email: blwilson at uw dot edu



My interests include Harmonic Analysis, Dispersive PDE and Geometric Measure Theory

Papers and Preprints

  1. Energy Transfer for solutions to the nonlinear Schrodinger equation on irratinal tori. (w/ A. Hrabski, Y. Pan, G. Staffilani)
    preprint 2021.

  2. Scaled Oscillation and Level Sets(w/ I. Altaf, M. Csornyei)
    preprint 2021. Notices of the AMS (to appear)

  3. Stability of the cubic nonlinear Schrodinger equation on irrational tori (w/ G. Staffilani)

  4. Weighted restriction estimates and application to Falconer distance set problem (w/ X. Du, L. Guth, Y. Ou, H. Wang, R. Zhang)
    preprint 2018.

  5. Sets with Arbitrarily Slow Favard Length Decay
    preprint 2017.

  6. On a bilinear Strichartz estimate on irrational tori and some application (w/ C. Fan, G. Staffilani, and H. Wang)
    Analysis & PDE, 11 (2018), no. 4, 919-944.

  7. The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space (w/ D. Bate and M. Csornyei)
    Israel J. Math. vol. 220, no.1, (2017), 175-188.

  8. Tangents of $\sigma$-finite curves and Scaled Oscillation (w/ M. Csornyei)
    Math. Proc. Cambr. Phil. Soc., vol. 161, no. 1, (2014), 1-12

  9. Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger
    Communications in Partial Differential Equations, Vol. 40, Iss. 8 (2015), 1521-1542.

  10. On almost everywhere convergence of strong arithmetic means of Fourier series
    Trans. Amer. Math. Soc., 367 (2015), 1467-1500