Lecture Notes

Rings, fields, modules, and Galois theory

Handouts from various courses taught at University of York and University of Houston.

Diophantine approximation and aperiodic order

Lecture notes covering the following topics: background on Diophantine approximation, shift spaces and Sturmian words, point sets in Euclidean space, cut and project sets, crystallographic restriction and construction of cut and project sets with prescribed rotational symmetries, a dynamical formulations of pattern recognition in cut and project sets, a discussion of diffraction, and a proof that cut and project sets have pure point diffraction measures.

Introduction to tiling spaces and cut and project sets

Handout for workshop at 18th Galway Topology Colloquium, June 2015

Topology of tiling spaces

Lectures given by Lorenzo Sadun at the University of York in April 2014.

Constructibility, solvability, and origami

Slides from a public lecture given for the York University Math Society

Topological groups

A reading course held at the University of Bristol in Fall 2012.

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