• Harmonic analysis and partial differential equations
• Topics from classical analysis and partial differential equations
• Boundedness properties of certain multilinear singular integrals and their Carleson maximal analogs

Multi-linear operators given by singular multipliers (with T. Tao and C. Thiele), J. Amer. Math. Soc. 15 (2002), 469–496.

The bi-Carleson operator (with T. Tao and C. Thiele), GAFA 16 (2006), 230­277.

L^p estimates for the biest I & II (with T. Tao and C. Thiele), Math. Ann. 329 (2004), 401–426 and 427–461.

Bi-parameter paraproducts (with J. Pipher, T. Tao, and C. Thiele), Acta Math. 193 (2004), 269–296.

Paraproducts with flag singularities I. A case study, Rev. Mat. Iberoamericana 23 (2007), 705–742.

• Ph.D. (2000) Brown University