Absolutely continuous spectrum for one-dimensional Schr\"odinger operators and Jacobi matrices with slowly decreasing potentials, Communications in Mathematical Physics, Vol. 179 (1996), 377--400.

Stability of the absolutely continuous spectrum of Schr\"odinger operators under slowly decaying perturbations and a.e. convergence of integral operators, Duke Mathematical Journal, Vol. 94 (1998), 619--649.

Absolutely continuous spectrum of perturbed Stark operators, Transactions of the AMS, Vol. 352 (2000), 243--256.

(with M. Christ and C. Remling) The absolutely continuous spectrum of one-dimensional Schr\"odinger operators with decaying potentials, Mathematics Research Letters, Vol. 4 (1997), 1--5.

(with M. Christ) Absolutely continuous spectrum for one-dimensional Schr\"odinger operators with slowly decaying potentials: some optimal results, Journal of the AMS, Vol. 11 (1998), 771--797.

(with M. Christ) WKB asymptotics of generalized eigenfunctions of one-dimensional Schr\"odinger operators, J. Funct. Anal. 179 (2001), 426--447

(with M. Christ) Maximal functions associated to filtrations, J. Funct. Anal. 179 (2001), 409--425

(with M. Christ) WKB and spectral analysis of one-dimensional Schr\"odinger operators with slowly varying potentials, Comm. Math. Phys. 218 (2001), no. 2, 245--262.

(with M. Christ) Absolutely continuous spectrum of Stark operators, Arkiv for Matematik 41 (2003), 1--33.

(with M. Christ) One-dimensional Schrodinger operators with slowly decaying potentials: spectra and asymptotics ps pdf dvi, Lecture notes for an IPAM tutorial. This is an expository account of work on one-dimensional Schrodinger operators

(with M. Christ) Scattering and wave operators for one-dimensional Schrodinger operators with slowly decaying nonsmooth potentials, GAFA 12 (2002), 1174--1234.

(with M. Christ) One-dimensional Schr\"odinger operators and Nonlinear Fourier Analysis, pdf ps dvi, review, preprint