CORDIS Project
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This project develops advanced mathematical tools to study the topological properties of moduli spaces related to 3- and 4-dimensional manifolds. It aims to understand manifold symmetries and configurations, focusing on the homotopy type of these spaces and their applications in topology.
The topological properties of low dimensional moduli spaces play a fundamental role across algebra, geometry, and topology.
My research programme will build homotopical tools for moduli spaces of 3- and 4-manifolds, and moduli spaces of links in 3-manifolds, with my main applications being to manifold symmetries and configurations.
The upgrading of discrete techniques for ‘an object’ to space-level techniques on ‘the moduli space of all such objects’ is a central theme.Moduli spaces of manifolds…
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