Topological graph theory
Research
My research interests are in topological graph theory, especially graph embeddings, orientable genus, rotation systems, and forbidden minors.
Preprint · 2026
On the Genus Polynomial of Cubic Graphs
The genus polynomial counts a cubic graph's embeddings by genus. It is a cycle-matroid invariant, the adjacency spectrum does not determine it, and I computed it for all 7,875,918 connected cubic graphs through 22 vertices.
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Paper · with A. Metzger · Discrete Mathematics
An Efficient Genus Algorithm Based on Graph Rotations
PAGE: a rotation-system algorithm that computes the orientable genus of any finite connected graph. We used it to determine the genus of the (3,12)-cage.
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Honors thesis · UW
Graph Genera and Minors
My undergraduate honors thesis on embedding graphs on orientable surfaces via rotation systems and forbidden minors, supervised by François Clément.
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