About

George Altmann topology knot theory motion groups homotopy theory University of Leeds mathematician

I am currently a second year PhD student in the Algebra Group of the School of Mathematics, University of Leeds, supervised by Dr João Faria Martins (University of Leeds), Dr Cristina Palmer-Anghel (Université Clermont Auvergne) and Dr Ilaria Colazzo (University of Leeds). My research mainly focuses on knot invariants, specifically invariants of welded links, and representations of the braid group and loop braid group. More generally I am interested in the fields of low-dimensional topology, representation theory, quantum topology and TQFTs.

My research is supported by the Programme Grant Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology

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Recent & Upcoming Talks

• GeMat Seminar, e-GeMAT session on Zoom, May 8, 2026,

  The Fundamental π-Module and Higher Peripheral Systems for Welded Links.

• Dijkgraaf-Witten Theory, Tensor Categories, and Applications, Leeds, UK, March 26, 2026,

  Crossed modules and counting invariants for welded knots

• Algebra Seminar, Leeds, UK, March 10, 2026,

  Higher homotopy invariants of welded knots

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Teaching

• MATH2120 Rings and Polynomials, 2026, University of Leeds,

  Preparing and delivering workshop sessions, supporting students with questions, and marking summative and formative coursework.

• MATH2130 Further Linear Algebra, 2025, University of Leeds,

  Preparing and delivering workshop sessions, supporting students with questions, and marking summative and formative coursework.

• MATH1000 Core Mathematics, 2025, University of Leeds,

  Preparing and delivering tutorial sessions, supporting students with questions, and marking weekly formative homework.

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Organised Events

• OSCAR and JuliaLang Reading Group, University of Leeds, 2026

• Pure PGR Seminar, University of Leeds, 2025 - 2026