There is a place to give a link to the note of some material which I think is important.

  1. For note of Harmonic Analysis, see there. I mixed some material of, among the other thing, Harmonic Analysis write by Elias M.stein. and Classical and Multilinear Harmonic Analysis write by Camil Muscalu, Wilhelm Schlag.
  2. For note on Lie Group, see there.
  3. For note on Pseudo-Randomness, see there.
  4. For note on Nonlinear Elliptic PDE, see there.
  5. For note on Semi-classical Analysis, see there.