Papers

Selected publications

(arXiv) Decoupling inequalities for quadratic forms, with Changkeun Oh, Ruixiang Zhang and Pavel Zorin-Kranich, to appear in Duke Math. J.

(arXiv) A short proof of \ell^2 decoupling for the moment curve, with Zane Kun Li, Po-Lam Yung and Pavel Zorin-Kranich, to appear in Amer. J. Math.

(arXiv, journal) On integer solutions of Parsell-Vinogradov systems, with Ruixiang Zhang, Invent. Math. 218 (2019), no. 1, 1–81.

(arXiv, journal) Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions, with J. Bourgain and C. Demeter. Adv. Math. 320 (2017), 827–875.

(arXiv, journal) Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^2$ boundedness, Anal. PDE 8 (2015), no. 5, 1263-1288.