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 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), Ann. Inst. Fourier 70 (2020).

• Refined Weyl law for homogeneous perturbations of the harmonic oscillator (with Moritz Doll and Oran Gannot), Comm. Math. Phys. 362 (2018).

• Semiclassical diffraction by conormal potential singularities (with Oran Gannot), Ann. Sci. ENS 56 (2023).

• On non-diffractive cones (with Jeffrey Galkowski), J. Diff. Geom. 120 (2022).

• Resonance-free regions for diffractive trapping by conormal potentials (with Oran Gannot), Amer. J. Math., 143 (2021).

• Optimal constants in non-trapping resolvent estimates and applications in numerical analysis (with Jeffrey Galkowski and Euan Spence), Pure Appl. Anal. 2 (2020).

• For most frequencies, strong trapping has a weak effect in frequency-domain scattering (with David Lafontaine and Euan Spence), Comm. Pure. Appl. Math. 74 (2021).

• A sharp relative-error bound for the Helmholtz $h$-FEM at high frequency (with David Lafontaine and Euan Spence), Num. Math. 150 (2022).

• Caustics of weakly Lagrangian distributions (with Sean Gomes), Ann. Henri Poincaré 23 (2022).

• Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients (with David Lafontaine and Euan Spence), Comp. Math. with Appl. 113 (2022).

• Diffraction for the Dirac-Coulomb propagator (with Dean Baskin), Ann. Henri Poincaré, to appear.

• Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method (with Jeffrey Galkowski, David Lafontaine, and Euan Spence), SIAM J. Math. Anal. 55 (2023).

• Generalized Price's law on fractional-order asymptotically flat stationary spacetimes (with Katrina Morgan), Math. Res. Lett. 30 (2023).

• Mode solutions to the wave equation on a rotating cosmic string background (with Katrina Morgan), Proc. AMS, to appear.

• Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification (with Euan Spence), SIAM/ASA J. Uncertain. Quantif., to appear.

• The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect (with Jeffrey Galkowski, David Lafontaine, and Euan Spence), Comm. Math. Sci., to appear.

• Baroclinic Tidal Conversion: Note on a Paper of L.R.M. Maas (with Carl Wunsch), J. Fluid Mech. 946 (2022).

• Newton polygons and resonances of multiple delta-potentials (with Kiril Datchev and Jeremy Marzuola), Trans. AMS, to appear.

• Wave propagation on rotating cosmic string spacetimes (with Katrina Morgan), Comm. Math. Phys., to appear.

• Propagation for Schrödinger operators with potentials singular along a hypersurface (with Jeffrey Galkowski), Arch. Ration. Mech. Anal., to appear.

• The Morse index theorem for mechanical systems with reflections (with Mengxuan Yang and Yuzhou (Joey) Zou), 2023.

• Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed (with Euan Spence and Yuzhou (Joey) Zou), 2024.