1         Structure in additively nonsmoothing sets  (with Nets Katz)  
http://lanl.arxiv.org/abs/1104.2862

2         New Bounds on cap sets (with Nets Katz)
http://lanl.arxiv.org/abs/1101.5851

3         L^p estimates for the Hilbert transforms along a one variable vector field (with Christoph Thiele) 
http://arxiv.org/abs/1109.6396

4         Single annulus L^p estimates for Hilbert transforms along vector fields
http://arxiv.org/abs/1109.6395

5         Maximal averages along a planar vector field depending on one variable
 
http://lanl.arxiv.org/abs/1104.2859

6         An estimate from below for the Buffon needle probability of the four-corner Cantor set (with Alexander Volberg)
Math. Res. Letters, Volume 17, Issue 5, September 2010  pp. 959-967.
http://lanl.arxiv.org/abs/0807.2953

7         L^p Estimates for Maximal Averages Along One-variable Vector Fields in R^2
Proc. Amer. Math. Soc. 137 (2009), 955-963.
http://lanl.arxiv.org/abs/0802.0183

8         Kakeya Sets and Directional Maximal Operators in the Plane
Duke Math. J. Volume 147, Number 1 (2009), 55-77.
http://lanl.arxiv.org/abs/math/0703559

9         Kakeya Sets in Cantor directions (with Nets Katz)
Math. Res. Lett. 15 (1) (2008) 73-81.
http://lanl.arxiv.org/abs/math/0609187

10     Traveling wave solutions to a coupled system of spatially discrete Nagumo equations (with Erik Van Vleck)
SIAM J. Applied Math. 66 (2006) pp 945-976.
Here