Manuscripts (in postscript except as noted):

  • Propagation of growth and singularities for Schrödinger operators (Duke Math. J. 98 (1999)) (pdf version here)

  • The trace of the generalized harmonic oscillator (Ann. Inst. Fourier 49 (1999))(pdf version here)

  • Distribution of resonances for asymptotically euclidean manifolds (with Maciej Zworski, J. Diff. Geom. 55 (2000))(pdf version here)

  • The FBI transform on compact $\mathcal{C}^\infty$ manifolds (with Maciej Zworski, Trans. AMS 353 (2001))(pdf version here)

  • Singularities and the wave equation on conic spaces, (with Richard Melrose, Proceedings of the Centre for Mathematics and its Applications, Australian National University, Vol. 39 (2001))(pdf version here)

  • Propagation of singularities for the wave equation on conic manifolds, (with Richard Melrose, Inventiones Mathematicae 156 (2004)) (pdf version here)

  • A Poisson relation for conic manifolds, (Math. Res. Lett. 9 (2002))(pdf version here)

  • The Schrödinger propagator for scattering metrics (with Andrew Hassell, Annals of Mathematics, 162 (2005)) (pdf version here)

  • On the structure of the Schrödinger propagator (with Andrew Hassell, in Partial Differential Equations and Inverse Problems, Contemp. Math.) (pdf version here)

  • The radiation field is a Fourier integral operator (with Antônio Sá Barreto, Ann. Inst. Fourier 55 (2005)) (pdf version here)

  • A Strichartz inequality for the Schrödinger equation on non-trapping asymptotically conic manifolds (with Andrew Hassell and Terence Tao, Comm. PDE. 30 (2004)) (pdf version here)

  • Sharp Strichartz estimates on non-trapping asymptotically conic manifolds (with Andrew Hassell and Terence Tao, Am. J. Math. 128 (2006)) (pdf version here)

  • Absence of super-exponentially decaying eigenfunctions on Riemannian manifolds with pinched negative curvature, (with András Vasy, Math. Res. Lett. 12 (2005)) (pdf version here)

  • Spreading of quasimodes in the Bunimovich stadium, (with Nicolas Burq and Andrew Hassell, Proc. AMS 135 (2007)) (pdf version here)

  • Spreading of Lagrangian regularity on rational invariant tori, (Comm. Math. Phys., to appear)(pdf version here)

  • The semiclassical resolvent and the propagator for nontrapping scattering metrics (with Andrew Hassell, Adv. Math., to appear.) (pdf version here)

  • Propagation of singularities for the wave equation on edge manifolds (with Richard Melrose, and András Vasy, Duke Math. J., to appear.) (pdf version here)

  • Semiclassical second microlocal propagation of regularity and integrable systems (with András Vasy) (pdf version here)