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Topology plays an important role in much of modern condensed matter physics. This has led to exciting new results, ranging from new perspectives on symmetry breaking and the classification of phases of matter, to applications in quantum computing. Moreover, insights from physics have led to new results in mathematics, and vice versa, making this a truly interdisciplinary field. The aim of this workshop is to bring together mathematicians and physicists interested in topological physics (interpreted in a broad sense), with a view towards condensed matter theory. Apart from invited talks by leading experts, it will feature contributed talks, giving early career researchers the opportunity to present their work to a broad audience. The workshop is co-organised by the Institute of Physics’ Mathematical & Theoretical Physics group, and the Theory of Condensed Matter group.