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 nontrapping asymptotically conic
manifolds (with Andrew
Hassell and Terence Tao,
Comm. PDE. 30 (2004))
 Sharp Strichartz estimates on
nontrapping asymptotically conic manifolds
(with Andrew Hassell and
Terence Tao, Am. J. Math. 128 (2006))
 Absence of superexponentially 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.
 Nonconcentration 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, JournÃ©es 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 highfrequency 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
longrange asymptotically Minkowski spaces
(with
Dean Baskin and
András Vasy),
Adv. Math., 328 (2018).
 Diffractive propagation on
conic manifolds, SÃ©minaire 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 nondiffractive cones
(with Jeffrey
Galkowski), J. Diff. Geom. 120 (2022).
 Resonancefree regions for
diffractive trapping by
conormal potentials
(with Oran
Gannot), Amer. J. Math., 143 (2021).
 Optimal constants in
nontrapping 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 frequencydomain scattering
(with David Lafontaine
and Euan
Spence), Comm. Pure. Appl. Math. 74 (2021).
 A sharp relativeerror 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).
 Wavenumberexplicit
convergence of the hpFEM for the fullspace heterogeneous
Helmholtz equation with smooth coefficients
(with David Lafontaine
and Euan
Spence), Comp. Math. with Appl. 113 (2022).
 Diffraction for the
DiracCoulomb propagator (with
Dean Baskin),
Ann. Henri Poincaré, to appear.
 Decompositions of
highfrequency 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 fractionalorder
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.
 Wavenumberexplicit
parametric holomorphy of Helmholtz solutions in the context
of uncertainty quantification
(with Euan
Spence), SIAM/ASA J. Uncertain. Quantif., to appear.
 The hpFEM 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 deltapotentials (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), Nonlinearity, to appear.

Helmholtz quasiresonances are unstable under most singlesigned perturbations of the wave speed
(with Euan
Spence
and
Yuzhou (Joey)
Zou), 2024.