Publications and Preprints

Most recent first:

• A Non-concentration Estimate for Partially Rectangular Billiards submitted
• Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods submitted
• High-frequency resolvent estimates on asymptotically Euclidean warped products submitted
• Semiclassical Control and L^2 restriction bounds for Neumann data along hypersurfaces with J. Toth submitted
• Sharp local smoothing for manifolds with smooth inflection transmission with J. Metcalfe submitted
• From resolvent estimates to damped waves with E. Schenck, A. Vasy, and J. Wunsch to appear J. Anal. Math.
• Quantum Ergodic Restriction for Cauchy Data: Interior QUE and Restricted QUE with J. Toth and S. Zelditch to appear Math. Res. Lett.
  
• Nonlinear Bound States on Weakly Homogeneous Spaces with J. Marzuola, J. Metcalfe, and M. Taylor submitted
• Near Sharp Strichartz Estimates with Loss in the Presence of Degenerate Hyperbolic Trapping to appear Comm. Math. Phys.
• Local Smoothing for the Schrodinger Equation with a Prescribed Loss with J. Wunsch to appear Amer. J. Math.
• Nonlinear Quasimodes near Elliptic Periodic Geodesics with P. Albin, J. Marzuola, and L. Thomann Phys. D  Vol. 241 (2012), no. 4, 409–425.
• Random Walk on Surfaces with Hyperbolic Cusps with C. Guillarmou and L. Michel Ann. Henri Poincare Vol. 12 (2011), no. 4, 743–775.
• Strichartz Estimates for the Water-wave problem with Surface Tension with V.M. Hur and G. Staffilani Comm. Partial Differential Equations Vol. 35 (2010), no. 12, 2195–2252.
• Existence and Stability of Solitons for the Nonlinear Schrodinger Equation on Hyperbolic Space with J. Marzuola Nonlinearity Vol. 23 (2010), no. 1, 89–106.
• Corrigendum to Semiclassical non-concentration near hyperbolic orbits [J. Funct. Anal. 246 (2) (2007) 145--195], Journal of Functional Analysis Vol. 258 (2010), no. 3, 1060–1065.
• Local Smoothing Effects for the Water-wave Problem with Surface Tension with V.M. Hur and G. Staffilani C. R. Math. Acad. Sci. Paris Vol. 347 (2009), no. 3-4, 159–162.
• Quantum Monodromy and Non-concentration Near a Closed Semi-hyperbolic Orbit Trans. Amer. Math. Soc. Vol. 363 (2011), no. 7, 3373–3438.
• Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators Proc. Amer. Math. Soc. Vol. 139 (2011), no. 2, 499–510.
• Applications of Cutoff Resolvent Estimates to the Wave Equation Math. Res. Lett. Vol. 16 (2009), no. 4, 577–590.
• Cutoff Resolvent Estimates and the Semilinear Schrodinger Equation Proc. Amer. Math. Soc. Vol. 136 (2008), no. 10, 3513–3520.
• The Colin de Verdiere Graph Parameter for Threshold Graphs with Felix Goldberg
• Dispersive Estimates for Manifolds with one Trapped Orbit Comm. Partial Differential Equations Vol. 33, (2008) no. 7, 1147–1174.
• Semiclassical Non-concentration near Hyperbolic Orbits, Journal of Functional Analysis Vol. 246 (2007), no. 2, 145–195.
• Growth and Zeros of the Zeta Function for Hyperbolic Rational Maps, Canadian Journal of Mathematics, Vol. 59 (2007), no. 2, 311–331.
• On Correlations of CM-Type Maass Waveforms under the Horocyclic Flow, with Dennis Hejhal (Univ. of Minn.), Journal of Physics A, Mathematical and General, Vol. 36 (2003), no. 12, 3467–3486.
• The Critical Group of a Threshold Graph, with Victor Reiner (Univ. of Minn.), Linear Algebra and its Applications, Vol. 349 (2002), 233–244.