Lecturing
Complex Analysis, University of Birmingham, Spring 2023.
Fourier Analysis, University of Birmingham, Spring 2023.
Operators and Matrices, University of Kent, Spring 2021.
Metric and Normed Spaces, University of Kent, Spring 2020 & 2022.
Real Analysis 1, University of Kent, Autumn 2019, 2020 & 2021.
Operators and Matrices, University of Kent, Spring 2019.
Introduction to Analysis, UC Berkeley, 2016-19.
Notes: Real numbers, Sequences, Series, Limits and Continuity, Differentiability, Uniform continuity, Riemann integration, Metric spaces.
Combinatorics, UC Berkeley, Spring 2018.
Notes for part of the course: An introduction to the polynomial method in incidence geometry.
Mathematical Tools for the Physical Sciences, UC Berkeley, Autumn 2016.
Notes: Series, Power series, Taylor's theorem, Complex numbers, Complex series, Holomorphic functions, Contour integration, residue theory, Conformal mapping in fluid mechanics, Fourier series, Fourier analysis, Nyquist's sampling theorem, Schrödinger equation, Heat equation, Convolutions, Gaussians, The Laplace transform, Calculus of variations, Lagrange multipliers, Applications.
Advanced Topics in Analysis (MSci level), University of Birmingham, Autumn 2014.
Notes: Functional analysis, Hardy-Littlewood maximal function, Lebesgue differentiation theorem, Hausdorff dimension, The Kakeya conjectures.
Teaching assistance
Teaching Assistant for MSRI Summer Graduate School Polynomial Method, MSRI, Berkeley, 8-19 Jul 2019.