### Research Focus

Harmonic analysis and partial differential equations

### Publications

- Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions, Rev. Mat. Iberoamericana 30 (2014), 1413–1437.
- Calderón commutators and the Cauchy integral on Lipschitz curves revisited II. The Cauchy integral and its generalizations, Rev. Mat. Iberoamericana 30 (2014), 1089–1122.
- Calderón commutators and the Cauchy integral on Lipschitz curves revisited I. First commutator and generalizations, Rev. Mat. Iberoamericana 30 (2014), 727–750.
- Multi-linear multipliers associated to simplexes of arbitrary length (with T. Tao and C. Thiele); in Advances in Analysis: The Legacy of Elias M. Stein, Princeton University Press, (2014) 346-402.
- Classical and Multilinear Harmonic Analysis, Vol. II (with W. Schlag), Cambridge Studies in Advanced Mathematics 138, Cambridge University Press, xvi + 324 pp., 2013.
- Classical and Multilinear Harmonic Analysis, Vol. I (with W. Schlag), Cambridge Studies in Advanced Mathematics 137, Cambridge University Press, xviii + 370 pp., 2013.
- Paraproducts with flag singularities I. A case study, Rev. Mat. Iberoamericana 23 (2007), 705–742.
- Bi-parameter paraproducts (with J. Pipher, T. Tao, and C. Thiele), Acta Math. 193 (2004), 269–296.
- LpLp estimates for the biest I & II (with T. Tao and C. Thiele), Math. Ann. 329 (2004), 401–426 and 427–461.
- The bi-Carleson operator (with T. Tao and C. Thiele), GAFA 16 (2006), 230–277.
- Multi-linear operators given by singular multipliers (with T. Tao and C. Thiele), J. Amer. Math. Soc. 15 (2002), 469–496.