- Surfaces with generalized second fundamental form in $L^{2}$ are Lipschitz manifolds, J. Differential Geometry, 39, 1994, 65-101.

- Geometric conditions and existence of bilipschitz parameterizations, Duke Mathematical Journal, 77, 1995, 193-227.

- Compactness Properties of Weakly p-Harmonic Maps into Homogeneous Spaces, with C.Y. Wang, Indiana Univ. Math. J., 44, 1995, 87-113.

- Harmonic Measure on Locally Flat Domains, with C. Kenig, Duke Mathematical Journal, 87, 1997, 509-551.

- Doubling and Flatness: Geometry of Measures, Notices of the AMS, 44, 1997, 1087-1094.

- Free Boundary Regularity for Harmonic Measures and Poisson Kernels, with C. Kenig, Annals of Math. 150, 1999, 369-454.

- Reifenberg Flat Metric Spaces, Snowballs and Embeddings, with G. David, Math. Ann., 315, 1999, 641-720.

- Square Functions and Harmonic Measure for Elliptic Equations, with C. Kenig, H. Koch and J. Pipher, Adv. Math. 153 (2000), no. 2, 231--298.

- Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant, with G. David and C. Kenig, Comm. Pure Appl. Math. 54, 2001, 385-449.

- Free Boundary Regularity for the Poisson Kernel below the Continuous Threshold with C. Kenig, Math. Research Letters, 9 (2002), 1-7.

- Poisson Kernel Characterization of Reifenberg Flat Chord Arc Domains with C. Kenig, Ann. Scient. Ec. Norm. Sup. 36, 2003, 323-401.

- On the free boundary regularity theorem of Alt and Caffarelli with C. Kenig, Discrete and Continuous Dynamical Systems 10, 2004, 397-422.

- Free boundary regularity below the continuous threshold: 2-phase problems with C. Kenig, J. Reine. Angew. Math. 596, 2006, 1-44.

- Stability of Lewis and Vogel's result with D. Preiss to appear in Revista Matematica Iberoamericana.

- A generalization of Reifenberg's theorem in $R^3$ with G. David, T. DePauw, to appear in GAFA.

- On the smoothness of H\"older doubling measures with D. Preiss and X. Tolsa, preprint.

- Boundary Structure and size in terms of interior and exterior harmonic measures in higher dimensions with C. Kenig and D. Preiss, to appear in JAMS.

- Divergence form operators in Reifenberg flat domains with E. Milakis, preprint.

- Reifenberg parameterizations for sets with holes with G. David, preprint.