Spring 2018, Math 63CM, Modern mathematics: continuous methodsCourse webpage

Winter 2018, Math 205B, Real analysis (Functional analysis)Course webpage

Spring 2017, Math 63CM, Modern mathematics: continuous methodsCourse webpage

Autumn 2016, Math 175, Elementary functional analysisCourse webpage

Autumn 2016, Math 256B, Topics in PDEsCourse webpage

Cambridge Part II Linear analysisI will follow quite closely the lecture notes of Mihalis Dafermos. (Supplementary notes on Theorem 8.2)

Example Sheet 1 Example Sheet 2 Example Sheet 3 Example Sheet 4

Cambridge Part III Introduction to nonlinear wave equationsLecture notes Review on Fourier analysis Example Sheet 1 Example Sheet 2 Example Sheet 3