My research interests are in the areas of classical harmonic analysis and its related fields.

I've been working with multi-parameter and multilinear singular integral operators with their Banach-valued extensions, as well as Fourier restriction problems. Some key words of my research are multi-parameter T1/Tb* *theorems, representation theorems, dyadic shifts, iterated commutators, multi-parameter BMO spaces, time-frequency analysis, multilinear multipliers, UMD spaces, bilinear Hilbert transform, L^p theory for outer measures, sparse operator domination, weighted norm inequalities, restriction estimates, polynomial methods, etc.

**Publications:**

, with José M. Conde-Alonso, Amalia Culiuc, and Francesco Di Plinio, Anal. PDE, to appear (2016). arXiv__A sparse domination principle for rough singular integrals__, with Amalia Culiuc and Francesco Di Plinio, Math. Res. Lett., to appear (2016). arXiv*Uniform sparse domination of singular integrals via dyadic shifts*, with Stefanie Petermichl, Harmonic analysis, function theory, operator theory and applications, to appear (2015). preprint*Little BMO and Journé commutators*, with Francesco Di Plinio, J. Anal. Math., to appear (2015). arXiv__A modulation invariant Carleson embedding theorem outside local L^2__, with Francesco Di Plinio, Indiana Univ. Math. J., to appear (2015). arXiv*Banach-valued multilinear singular integrals*, with Stefanie Petermichl and Elizabeth Strouse, Adv. Math. 291 (2016), 24-58. DOI: 10/1016/j.aim.2015.12.029. arXiv__Higher order Journé commutators and characterizations of multi-parameter BMO__, Rev. Mat. Iberoam. 33 (2017), no. 1, 325-350. DOI: 10.4171/RMI/939. arXiv*Multi-parameter singular integral operators and representation theorem*, with Laurent Dalenc, Publ. Mat. 60 (2016), 191-220. DOI: 10.5565/PUBLMAT_60116_07. arXiv*Upper bound for multi-parameter iterated commutators*, Trans. Amer. Math. Soc. 367 (2015), no. 9, 6159-6197. DOI: 10.1090/S0002-9947-2015-06246-1. arXiv*A T(b) theorem on product spaces*

**Preprints:**

, with Laura Cladek, submitted (2017). arXiv*Sparse domination of Hilbert transforms along curves*, with Hong Wang, submitted (2017). arXiv*A cone restriction estimate using polynomial partitioning*, with Xuan Thinh Duong, Ji Li, Brett D. Wick, and Dongyong Yang, submitted (2016). arXiv*Product BMO, little BMO and Riesz commutators in the Bessel setting*, with Amalia Culiuc and Francesco Di Plinio, submitted (2016). arXiv*Domination of multilinear singular integrals by positive sparse forms*

**Ph.D. dissertation:** __ Multi-parameter commutators and new function spaces of bounded mean oscillation__, Brown University (2016). pdf

**Slides:**