In the past, I took notes electronically --- the PDFs here are the result. Comments and suggestions are welcome.

UofM Math 654 - Introduction to Mathematical Fluid Dynamics (pdf)

Princeton Study Analysis and Geometry, Summer 2011

  • Week 1 - The Geometry of General Relativity (pdf)
  • Week 2 - Discrete Analogues in Harmonic Analysis (pdf)
  • Week 3 - Harmonic Analysis and Nonlinear Dispersive Equations (pdf)
  • NYU Courses

  • Math 2010 - Numerical Methods I (pdf)
  • Math 2310 - Topology I (pdf)
  • Math 2490 - Partial Differential Equations I (pdf)
  • Math 2911 - Probability: Limit Theorems I (pdf)
  • Teaching

  • Intro to Math Analysis I (pdf)
  • The Riesz Theorem (pdf)