Richard Oberlin


I work in the area of harmonic analysis. Currently, my main interests are in generalized Radon transforms (including the Kakeya problem), time-frequency analysis, and related topics. I graduated from the University of Wisconsin in Spring 2007, my advisor was Andreas Seeger. I am currently a postdoc at UCLA.

Preprints and Publications:


1. (with C. Thiele) "New uniform bounds for a Walsh model of the bilinear Hilbert transform", preprint
2. (with F. Nazarov, C. Thiele) "A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain", preprint
3. (with A. Seeger, T. Tao, C. Thiele, J. Wright) "A variation norm Carleson theorem", submitted, arXiv:0910.1555
4. (with J. Ellenberg, T. Tao) "The Kakeya set and maximal conjectures for algebraic varieties over finite fields", to appear in Mathematika, arXiv:0903.1879
5. (with B. Erdogan) "Estimates for the X-ray transform restricted to 2-manifolds", to appear in Rev. Mat. Ibero., preprint
6. "Two bounds for the X-ray transform", to appear in Math. Z., link
7. "Bounds for Kakeya-type maximal operators associated with k-planes", Math. Res. Letters, link
8. "A recursive bound for a Kakeya-type maximal operator", unpublished (superceded by 5.), arXiv:0511.5646
9. (with R. Strichartz, B. Street) "Sampling on the Sierpinski gasket", Experiment. Math., link

My thesis