Research

• Uniform estimates for the X-ray transform restricted to polynomial curves. Joint with Spyridon Dendrinos. Pre-preprint. (29 pgs.)
  
• Scattering for the cubic Klein-Gordon equation in two space dimensions. Joint with Rowan Killip, Monica Visan. preprint. To appear in Trans. Amer. Math. Soc. (arxiv) (60 pgs.)
• Lp improving multilinear Radon-like transforms. Revista. Math. Iberoamericana 27 (2011), no. 3, pgs. 1059-1085. (preliminary version).
• Endpoint Lp-->Lq bounds for integration along certain polynomial curves. J. Funct. Anal. 259 (2010), no. 12, pgs. 3205-3229. (preliminary version).
• Quasi-extremals for convolution with surface measure on the sphere. Illinois J. Math. 53 (2009), no. 2, pgs. 391-412. (preliminary version).
• Endpoint bounds for a generalized Radon transform. J. London Math. Soc. 80 (2009), no. 2, 357-374. (preliminary version).