## Bobby Wilson

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
Seattle, WA 98195

Email: blwilson at uw dot edu

### Interests

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

### Papers and Preprints

1. Stability of the cubic nonlinear Schrodinger equation on irrational tori (w/ G. Staffilani)
preprint 2018.

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

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

4. 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.

5. 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.

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

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

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

### Talks

• These are the slides from my September 2014 talk at UIUC
• These are the slides from my September 2015 talk at MSRI

### Notes

• These are some rough notes that I wrote detailing some attempts to apply a Duhamel iteration scheme to the question of plane-wave stability to the NLSE

### Teaching

During the 2011-2012 academic year, I was a teaching assistant for Honors Calculus IBL (Math 161, 162, 163). During the 2012-2013 academic year, I taught Calculus (math 131, 132) and Linear Algebra (19620). During the 2013-2014 academic year, I taught Calculus (math 152, 153). During the 2014-2015 academic year, I taught Calculus (math 153). The summers of 2014 and 2013 I taught in the CAAP summer program. For Spring 2016, I was a teaching assistant for Differential Equations (18.03). In Fall 2016, I taught communications intensive version of Real Analysis (18.100Q). For Fall 2017, I was a teaching assistant for Calculus (18.01A/18.02A). For Spring 2018, I taught Differential Geometry (Link Here)