My research interests are: multi-parameter singular integral operators, harmonic analysis on nilpotent Lie groups, partial differential equations, and sub-Riemannian geometry. 

More recently, I have been interested in discrete harmonic analysis and fluid dynamics. 

• Tame algebra estimates for product and flag kernels on graded Lie groups - 2024 - submitted.

• Inverses of Product Kernels and Flag Kernels on Graded Lie groups - 2023 - To appear in J. Math. Anal. Appl. - arxiv link. 

• Study guide for "Trilinear smothing inequalities and a variant of the triangular Hilbert transform" by Christ, Durcik, Roos - with M. Hsu, and F. Lin - arxiv link 2023