Bobby Wilson
About Me
I am an Assistant Professor at the University of Washington. From July
2015June 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
Vita
Interests
My interests include Harmonic Analysis, Dispersive PDE and Geometric Measure Theory
Papers and Preprints

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

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

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

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

Sets with Arbitrarily Slow Favard Length Decay
preprint 2017.

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, 919944.

The BesicovitchFederer projection theorem is false in every infinite dimensional Banach space (w/ D. Bate and M. Csornyei)
Israel J. Math. vol. 220, no.1, (2017), 175188.

Tangents of $\sigma$finite curves and Scaled Oscillation (w/ M. Csornyei)
Math. Proc. Cambr. Phil. Soc., vol. 161, no. 1, (2014), 112

Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger
Communications in Partial Differential Equations, Vol. 40, Iss. 8 (2015), 15211542.

On almost everywhere convergence of strong arithmetic means of Fourier series
Trans. Amer. Math. Soc., 367 (2015), 14671500
Talks
 These are the slides from my September 2014 talk at UIUC
 These are the slides from my September 2015 talk at MSRI
Notes
 This Fall we are running a working group on the work of Malinnikova
(Link Here)
 These are some rough notes that I wrote detailing some attempts to apply a Duhamel iteration scheme to the question of planewave stability to the NLSE
Teaching
This Fall I am teaching Math 525 and Math 425.