I am a fifth 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, I study questions relating to Kakeya-type maximal functions and bounds on the number of incidences between points and surfaces in Euclidean space.

When not doing math, I enjoy rock climbing, hiking, and traveling.

Publications

• (with A. Sheffer and M. Sharir) Incidences between points and non-coplanar circles. Preprint. [arXiv]
• A Szemeredi-Trotter type theorem in 𝐑⁴. Submitted. [arXiv]
• On the Wolff circular maximal function. Accepted, Illinois J. Math. [arXiv]
• An improved bound on the number of point-surface incidences in three dimensions. Accepted, Contrib. Discrete Math. [arXiv]
• L^3 estimates for an algebraic variable coefficient Wolff circular maximal function. Rev. Mat. Iberoam. 28(4):1061-1090, 2012. [arXiv] [Journal]
  
• (with G. Hurlbert and T. Johnson) On universal cycles for multisets. Discrete Math., 309(17):5321-5327, 2009. [arXiv] [Journal]
  
• (with D.J. Katz) Bounds on degrees of p-adic separating polynomials. J. Comb. Theory Ser. A, 115(7):1310-1319, 2008. [pdf] [Journal]

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