'Standard' first course in Complex Analysis designed for science and engineering students. Draws material from the textbooks by Stein-Shakarchi, Lang and Freitag-Busam.
Lecture notes without coloured boxes etc.
An introduction to mathematical aspects of quantum computation and some concepts from quantum information theory.
A pre-calculus course for first year students in humanities and social sciences. Various connections and applications to economics are given. Notes are still work-in-progress.
Masters course given in 2023/2024. Introduces pseudodifferential and elliptic operators on Euclidean space and compact Riemannian manifolds.
Masters course given in 2024/2025. Covers the basic theory of C*-algebras, discrete group C*-algebras and discrete group crossed products.
Black and white version.
Given in 2025/2026. The notes cover vector bundles and K-theory basics (exact sequences, Bott periodicity). The Thom isomorphism is also covered without proof and the section on characteristic classes and the Chern character is currently empty.