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This is the homepage of Frankie Gillis. I’m a Mathematics undergraduate and Laidlaw Scholar at the University of St Andrews.

For the things I’ve done, please see my CV or my LinkedIn.


A graph with four mutually pseudo-similar vertices


In the above graph, the vertices labelled $1$, $2$, $3$, and $4$ have pairwise-isomorphic vertex-deleted subgraphs, but no automorphism of the graph maps one onto the other. Vertices with this property are called pseudo-similar. Graphs containing pseudo-similar vertices were the focus of my 2025 summer research.

Blog

The blog section of this website mostly contains expositions on parts of undergraduate Mathematics I find interesting, along with writeups that I thought were nice enough to keep.

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