Lecture notes:

  • Schrödinger evolution and geometry
  • (From Oberwolfach program on "Analysis and Geometry Singularities", August 23, 2007.)

  • Microlocal analysis and evolution equations
  • (From CMI 2008 Summer School on Evolution Equations.) This is a more or less final version.

  • Geometric optics and its limitations
  • (From MSRI Evans lecture, September 22, 2008.)

  • Geometry and analysis of diffracted waves
  • (From invited address at AMS Fall Sectional Meeting at Notre Dame, November 5, 2010; similar content to Evans lecture above.)

  • Mechanics for mathematicians
  • Lecture notes for Math 327. These are a work in progress and comments are welcome.