Matthew Ellison

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20232026

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math.GT2025

Taut fillings

Peter Doyle, Matthew Ellison, Zili Wang

Let $σ$ be a simplicial triangulation of the 2-sphere, $X$ the associated integral 2-cycle. A filling of $X$ is an integral 3-chain $M$ with $\partial M = X$ ; a taut filling is one…

math.GT2023

Realizing abstract simplicial complexes with specified edge lengths

Matthew Ellison

For finite abstract simplicial complex $Σ$ , initial realization $α$ in $E^{d}$ , and desired edge lengths $L$ , we give practical sufficient conditions for the existence of a…