Spring 2020, Math 256A, Partial differential equationsCourse webpage

Autumn 2019, Math 220/CME 303, Partial differential equations of applied mathematicsCourse webpage

Autumn 2019, Math 61CM, Modern mathematics: continuous methodsCourse webpage

Spring 2019, Math 215C, Riemannian geometryCourse webpage

Autumn 2018, Math 256A, Partial differential equationsCourse webpage

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 analysisThis course follows 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