'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.
Covers metric spaces, basics of point set topology, the fundamental group and elements of algebraic topology.
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.