Supervisors:
Working Thesis:
Enumerating Displayed Trees in Tree-Child Phylogenetic Networks.
Phylogenetic networks are digraphs that are used to represent the evolutionary histories of a collection of modern species. Phylogenetic networks generalize phylogenetic trees, and can be viewed as a union of overlapping phylogenetic trees. Thus each phylogenetic network has some number of phylogenetic trees embedded within it. Tree-child networks are a well studied class of phylogenetic networks. In this thesis we will examine formulae for the number of phylogenetic trees displayed by different subclasses of tree child phylogenetic networks, and establish a formula for the number of embedded phylogenetic trees of any tree child phylogenetic network.
Research Interests:
Combinatorics, Graph Theory, and Phylogenetics.
Academic History:
BSc in Mathematics and Computer Science in 2022, Univeristy of Canterbury
BSc (Hons), first class, in Mathematics in 2023, Univeristy of Canterbury
