I am a fourth year graduate student at UCLA. I am part of the analysis group, and my advisor is Terence Tao. I am interested in classical harmonic analysis and discrete geometry, in particular questions relating to Kakeya-type maximal functions.
Publications
- A Szemeredi-Trotter type theorem in $\mathbb{R}^4$. Submitted. [arXiv]
- On the Wolff circular maximal function.
Submitted. [arXiv]
- An improved bound on the number of point-surface incidences in three dimensions.
Submitted. [arXiv]
- L^3 estimates for an algebraic variable coefficient Wolff circular maximal function. To appear, Revista Mat. Iber. (28), 2012. [arXiv]
- Bounds on degrees of p-adic separating polynomials. (with D.J. Katz). J. Comb. Theory Ser. A, (115):1310-1319, 2008. [pdf] [Journal]
- On universal cycles for multisets. (with G. Hurlbert and T. Johnson). Discrete Math., (309):5321-5327, 2009. [arXiv] [Journal]
CV [PDF]