4 papers
Acyclic Poset Multiplihedra and their Quotients
Stefan Forcey, Ross Glew, Christopher Tapo
Two families of polytopes underlie the combinatorics of associative operations. Associahedra and multiplihedra respectively capture the information in the operation itself and in t…
Generalised wavefunction coefficients and acyclonesto-cosmohedra
Stefan Forcey, Ross Glew, Hyungrok Kim
Scattering amplitudes of theory can be encoded as the canonical form of the Stasheff associahedron. Similarly, the flat-space wavefunction coefficients of…
Compactifications of phylogenetic systems and species of electrical networks
Satyan L. Devadoss, Stefan Forcey
We describe new spaces and maps. Our graphical map is a visual and numerical correspondence between spaces of circular electrical networks and circular planar split systems. When r…
Counting plane arrangements via oriented matroids
Stefan Forcey
Planes are familiar mathematical objects which lie at the subtle boundary between continuous geometry and discrete combinatorics. A plane is geometrical, certainly, but the ways th…