Research
topYB connects algebra, topology, and computation around discrete Yang–Baxter-type structures and their applications in low-dimensional topology and related areas.
Research themes
Discrete / set-theoretic Yang–Baxter equation
We study discrete versions of the Yang–Baxter equation, their classifications, and the algebraic structures that arise from solutions.
Low-dimensional topology & invariants
We connect Yang–Baxter-type structures to knot theory and related low-dimensional topological constructions.
Hopf–Galois structures & algebra
We explore interactions with Hopf–Galois theory and related algebraic frameworks that encode symmetry and factorisation.
Topological Quantum Field Theory (TQFT)
We investigate links to quantum/topological field theories and the algebraic input needed to build and compare TQFT-style invariants.
Computational & constraint programming methods
We develop computational pipelines—especially constraint programming—to construct and search for solutions with prescribed properties.
Active projects
We maintain a rolling list of active projects, visits, and student topics. Details will be added here as they are confirmed.
- Joint seminars & visits — VUB ↔ Leeds exchanges (TBA).
- Student & postdoc projects — supervised topics in algebra/topology/computation (TBA).
- Software & computation — constraint-based construction and search workflows (TBA).