Manuscripts (in pdf format):

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

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

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

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

  • 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))

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

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

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

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

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

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

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

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

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

  • Spreading of Lagrangian regularity on rational invariant tori, (Comm. Math. Phys., 279 (2008))

  • The semiclassical resolvent and the propagator for nontrapping scattering metrics (with Andrew Hassell, Adv. Math. 217 (2008).)

  • Propagation of singularities for the wave equation on edge manifolds (with Richard Melrose, and András Vasy, Duke Math. J. 144 (2008).)

  • Semiclassical second microlocal propagation of regularity and integrable systems (with András Vasy, J. d'An. Math. 108 (2009).) Note erratum below.

  • (An erratum to the above paper, J. d'An. Math. 115 (2011))

  • Microlocal analysis and evolution equations (From CMI/ETH 2008 Summer School on Evolution Equations, to appear in proceedings volume.)

  • Diffraction of singularities for the wave equation on manifolds with corners (with Richard Melrose, and András Vasy, Astérisque, 351 (2013))

  • Positive commutators at the bottom of the spectrum (with András Vasy, J. Func. Anal. 259 (2010))

  • Resolvent estimates for normally hyperbolic trapped sets (with Maciej Zworski, Ann. Henri Poincaré 12 (2011)). See also this erratum.

  • Non-concentration of quasimodes for integrable systems (Comm. PDE, 37 (2012))

  • Morawetz estimates for the wave equation at low frequency (with András Vasy, Math. Ann., 355 (2013))

  • Local smoothing for the Schrödinger equation with a prescribed loss (with Hans Christianson, Amer. J. Math., 135 (2013))

  • From resolvent estimates to damped waves (with Hans Christianson, Emmanuel Schenck, András Vasy, J. d'An. Math. 122 (2014)).

  • Resolvent estimates with mild trapping, Journées EDP, 2012.

  • Resolvent estimates and local decay of waves on conic manifolds (with Dean Baskin), J. Diff. Geom. 95 (2013).

  • Strichartz estimates on exterior polygonal domains (with Dean Baskin and Jeremy Marzuola), Contemp. Math., 630.

  • Asymptotics of radiation fields in asymptotically Minkowski space (with Dean Baskin and András Vasy), Am. J. Math., 137 (2015).

  • The wave trace on manifolds with conic singularities (with Austin Ford), Adv. Math., 304 (2017).

  • Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations (with Dean Baskin and Euan Spence), SIAM J. Math. Anal. 48 (2016).

  • Periodic damping gives polynomial energy decay, Math. Res. Lett., 24 (2017).

  • Asymptotics of scalar waves on long-range asymptotically Minkowski spaces (with Dean Baskin and András Vasy), Adv. Math., 328 (2018).

  • Diffractive propagation on conic manifolds, Séminaire Laurent Schwartz, 2016.

  • On resonances generated by conic diffraction (with Luc Hillairet), 2017.

  • Refined Weyl law for homogeneous perturbations of the harmonic oscillator (with Moritz Doll and Oran Gannot), Comm. Math. Phys., to appear.

  • Semiclassical diffraction by conormal potential singularities (with Oran Gannot), 2018.