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. I am running a summer program for undergraduates this summer. The webpage is here

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

Email: blwilson at uw dot edu

Vita

Interests

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

Papers and Preprints

  1. Rectifiability and tangents in a rough Riemannian setting (w/ M. Goering and T. Toro)
    preprint 2023.

  2. Density Properties of Sets in Finite-Dimensional, Strictly Convex Banach Spaces
    preprint 2023.

  3. Global well-posedness and scattering for the defocusing mass-critical Schr\"odinger equation in the three-dimensional hyperbolic space . (w/ X. Yu)
    preprint 2023.

  4. Distance sets bounds for polyhedral norms via effective dimension. (w/ I. Altaf, R. Bushling)
    preprint 2023.

  5. Modified Scattering of Cubic Nonlinear Schr\" odinger Equation on Rescaled Waveguide Manifolds. (w/ X. Yu)
    preprint 2022.

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

  7. Scaled Oscillation and Level Sets(w/ I. Altaf, M. Csornyei)
    Proceedings of the American Mathematical Society, 150(07), 2913-2924

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

  9. Weighted restriction estimates and application to Falconer distance set problem (w/ X. Du, L. Guth, Y. Ou, H. Wang, R. Zhang)
    American Journal of Mathematics, 143(1), 175-211.

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

  11. 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.

  12. 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.

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

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

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

Talks

Notes

Teaching