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, sparse domination of operators of various types, as well as problems related to Fourier restriction estimates.

Some key words of my research: sparse domination, weighted norm inequalities, rough singular integrals, Bochner-Riesz multipliers, Radon transforms, Fourier restriction estimates, polynomial methods, Falconer's distance set problem, multi-parameter T1/Tb* *theorems, representation theorems, dyadic shifts, paraproducts, iterated and higher order commutators, multi-parameter BMO spaces, time-frequency analysis, multilinear singular integrals, UMD spaces, bilinear Hilbert transform, L^p theory for outer measures, Carleson embedding theorems, etc.

**Publications:**

, with Laura Cladek,*Sparse domination of Hilbert transforms along curves***Math. Res. Lett.**, to appear (2017). arXiv, with José M. Conde-Alonso, Amalia Culiuc, and Francesco Di Plinio,__A sparse domination principle for rough singular integrals__**Anal. PDE**, 10 (2017), no. 5, 1255-1284. DOI: 10.2140/apde.2017.10.1255. arXiv, with Amalia Culiuc and Francesco Di Plinio,*Uniform sparse domination of singular integrals via dyadic shifts***Math. Res. Lett.**, to appear (2016). arXiv, with Xuan Thinh Duong, Ji Li, Brett D. Wick, and Dongyong Yang,*Product BMO, little BMO and Riesz commutators in the Bessel setting***J. Geom. Anal.**, to appear (2016). arXiv, with Stefanie Petermichl,*Little BMO and Journé commutators***Harmonic analysis, function theory, operator theory and applications**, to appear (2015). preprint, with Francesco Di Plinio,__A modulation invariant Carleson embedding theorem outside local L^2__**J. Anal. Math.**, to appear (2015). arXiv, with Francesco Di Plinio,*Banach-valued multilinear singular integrals***Indiana Univ. Math. J.**, to appear (2015). arXiv, with Stefanie Petermichl and Elizabeth Strouse,__Higher order Journé commutators and characterizations of multi-parameter BMO__**Adv. Math.**291 (2016), 24-58. DOI: 10/1016/j.aim.2015.12.029. arXiv,*Multi-parameter singular integral operators and representation theorem***Rev. Mat. Iberoam.**33 (2017), no. 1, 325-350. DOI: 10.4171/RMI/939. arXiv, with Laurent Dalenc,*Upper bound for multi-parameter iterated commutators***Publ. Mat.**60 (2016), 191-220. DOI: 10.5565/PUBLMAT_60116_07. arXiv,*A T(b) theorem on product spaces***Trans. Amer. Math. Soc.**367 (2015), no. 9, 6159-6197. DOI: 10.1090/S0002-9947-2015-06246-1. arXiv

**Preprints:**

, with Kangwei Li, Henri Martikainen and Emil Vuorinen, submitted (2017). arXiv*Bilinear representation theorem*, with Hong Wang, submitted (2017). arXiv*A cone restriction estimate using polynomial partitioning*, 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:**

*A cone restriction estimate using polynomial partitioning**Sparse domination of singular integral operators**Domination of multilinear singular integrals by positive sparse forms**Banach-valued T(1) type theorems**Commutators of singular integrals**T(1) and T(b) theorems on product spaces*