Jonathan Spreer

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20242026

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math.CO2025

A census of face-transitive surfaces

Reymond Akpanya, Jonathan Spreer

A face-transitive surface is a triangulated 2-dimensional manifold whose automorphism group acts transitively on its set of triangles. In this paper, we investigate this class of h…

math.GT2025

Small Triangulations of Simply Connected 4-Manifolds

Jonathan Spreer, Lucy Tobin

We present small triangulations of all connected sums of $CP^{2}$ and $S^{2} \times S^{2}$ with the standard piecewise linear structure. Our triangulations have $2 β_{2} + 2$ pentach…