School of Mathematics and Statistics
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(2019)This thesis adapts the cubical CAT(0) Aitchison complex, A(L), of alternating link exteriors to construct CAT(0) polyhedral metric structures, A′(L), on the exterior of various links from cubes and prisms. The first class ...
(2018)A wide range of flow phenomena in everyday life can be modelled accurately using classical continuum theory: the Navier-Stokes equations with associated no-slip conditions. However, oscillatory flows generated by nanoscale ...
(2019)We investigate a combinatorial analogue of the Ricci curvature flow for 3-dimensional hyperbolic cone structures, obtained by gluing together hyperbolic ideal tetrahedra. Our aim is to find a hyperbolic structure for ...