Courses and lecture notes

• The Cauchy Problem for Quasilinear Schrodinger Equations (Kenig)
• Open problems in Harmonic Analysis
• Harmonic analysis, wavelets, and applications (Daubechies/Gilbert)
• Lectures in Harmonic Analysis and Nonlinear Wave Equations (Foschi/Klainerman)
• M391C: Wavelets: Theory and Applications (Gilbert)
• Mathematical discussions (Gowers)
• Expositions on Kakeya and arithmetic progressions (Green)
• Restriction and Kakeya Phenomena (Green)
• Kakeya Lectures, and other Expository papers (Iosevich)
• Notes on Nonlinear Wave Equations (Klainerman)
• The Evolution Problem in General Relativity (Klainerman)
• The Kakeya problem and connections to harmonic analysis (Laba)
• Tilings of R^n and the spectral set conjecture (Laba)
• Thomas Wolff’s Lectures on Harmonic Analysis (Laba/Wolff)
• 18.156: Graduate Analysis Elliptic Regularity and Monopoloes (Melrose)
• 18.157: Introduction to microlocal analysis (Melrose)
• Math 254A: Oscillatory integrals, Diagonal entries of matrices, Scattering for Schrodinger with potential (Tao)
• Math 254B: Restriction theorems, Bochner-Riesz, Kakeya, etc. (Tao)
• Math 254A: Harmonic Analysis in the phase plane (Tao)
• Math 254A: Additive combinatorics (Tao)
• 262: Combinatorial Number Theory (Vu)

Further suggestions are welcome!

Other collections of analysis notes can be found at Modern Analysis Online.