DEPARTMENT OF MATHEMATICS

Selected Publications

1. Propagation of singularities and growth for Schrödinger operators, Duke Math. J., 98 (1999), 137--186.
2. Propagation of singularities for the wave equation on conic manifolds (with Richard Melrose), Inventiones Mathematicae, 156 (2004), 235--299.
3. The Schrödinger propagator for scattering metrics (with Andrew Hassell), Annals of Mathematics, 162 (2005), 487--523.
4. Sharp Strichartz estimates on non-trapping asymptotically conic manifolds (with Andrew Hassell and Terence Tao), Amer. J. Math. 128 (2006), 963--1024.
5. Microlocal analysis and evolution equations, in ``Evolution Equations,'' Ellwood, David, et al., eds. Vol. 17. American Mathematical Soc., 2013.
6. Diffraction of singularities for the wave equation on manifolds with corners (with Richard Melrose and András Vasy), Astérisque No. 351 (2013).
7. Resolvent estimates and local decay of waves on conic manifolds (with Dean Baskin), J. Diff. Geom. 95 (2013), 183--214.