I have a PhD in combinatorial graph theory from the University of East Anglia. You can read my thesis here!
I have published two papers:
On cherry and pitchfork distributions of random rooted and unrooted phylogenetic trees (non-paywalled version here).
Distributions of 4-subtree patterns for uniform random unrooted phylogenetic trees
The methods used in both these papers are heavily based on this paper so I recommend reading that one first. If you're having difficulty accessing any of these, let me know and I can help you out!
I wrote my masters dissertation on population dynamics in endangered species. You can read it here!