• 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, pdf, Journal of the AMS, Vol. 11 (1998), 771--797.


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


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


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


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


  • (with M. Christ) One-dimensional Schrodinger operators with slowly decaying potentials: spectra and asymptotics pdf, 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, pdf, GAFA 12 (2002), 1174--1234.


  • (with M. Christ) One-dimensional Schr\"odinger operators and Nonlinear Fourier Analysis, pdf, review, preprint 2003