Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Detecting topological properties of boundaries of hyperbolic groups
(20181124)In general, a finitely presented group can have very nasty properties, but many of these properties are avoided if the group is assumed to admit a nice action by isometries on a space with a negative curvature property, ... 
Extremal and Structural Problems of Graphs
(20190330)In this dissertation, we are interested in studying several parameters of graphs and understanding their extreme values. We begin in Chapter~$2$ with a question on edge colouring. When can a partial proper edge colouring ... 
Convergence of the mirror to a rational elliptic surface
(20181130)The construction introduced by Gross, Hacking and Keel in [28] allows one to construct a mirror family to (S, D) where S is a smooth rational projective surface and D a certain type of Weil divisor supporting an ample or ...