I am interested in weighted inequalities, matrix weights, discrete operators, and sparse estimates for singular integral operators.

In October 2017, together with my collaborators Francesco Di Plinio and Yumeng Ou , I co-organized an AIM workshop on sparse domination priniciples for singular integral operators. More details can be found here .

Here are my publications:

- A sparse domination principle for rough singular integrals. With Jose M. Conde-Alonso, Francesco Di Plinio, and Yumeng Ou - to appear in Analysis and PDE
- Uniform sparse domination of singular integrals via dyadic shifts. With Francesco Di Plinio and Yumeng Ou - to appear in Math. Res, Lett.
- The Carleson embedding theorem with matrix weights. With Sergei Treil - to appear in IMRN
- Two weight estimates with matrix measures for well localized operators. With Kelly Bickel, Sergei Treil, and Brett Wick - to appear in Trans Am. Math. Soc.
- A sparse estimate for multisublinear forms involving vector-valued maximal functions. With Francesco Di Plinio, and Yumeng Ou - to appear in Proceedings of the Bruno Pini Mathematical Analysis Seminar

- Sparse bounds for the discrete cubic Hilbert transform. With Robert Kesler and Michael Lacey
- Domination of multilinear singular integrals by positive sparse forms. With Francesco Di Plinio, and Yumeng Ou
- A note on two weight bounds for the generalized Hardy-Littlewood maximal operator.