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. This Spring, I am teaching a first-year graduate course in Functional Analysis (Math 525) and Math 424.

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. Maximal estimates for strong arithmetic means of Fourier series
    Advanced Nonlinear Studies (2025)

  2. Self-similar sets and Lipschitz graphs (w/ B. Davey and S. Ghinassi)
    preprint 2024.

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

  4. Density Properties of Sets in Finite-Dimensional, Strictly Convex Banach Spaces
    Journal of Mathematical Analysis and Applications, 548(1), August 2025

  5. Global well-posedness and scattering for the defocusing mass-critical Schr\"odinger equation in the three-dimensional hyperbolic space . (w/ X. Yu)
    Transactions of the AMS (2025)

  6. Distance sets bounds for polyhedral norms via effective dimension. (w/ I. Altaf, R. Bushling)
    Real Analysis Exchange (2025)

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

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

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

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

  11. 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.

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

  13. 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.

  14. 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.

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

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

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

Notes

Teaching