4 papers
Wondertopes
Sarah Brauner, Christopher Eur, Elizabeth Pratt +1
Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing scattering amplitudes in theoretical physics. We show that a positive geometry from a polytop…
Configuration spaces and peak representations
Marcelo Aguiar, Sarah Brauner, Victor Reiner
Within the group algebras of the symmetric and hyperoctahedral groups, one has their descent algebras and families of Eulerian idempotents. These idempotents are known to generate…
Invariant Theory for the free left-regular band and a q-analogue
Sarah Brauner, Patricia Commins, Victor Reiner
We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on letters, defin…
A Three-Regime Theorem for Flow-Firing
Sarah Brauner, Galen Dorpalen-Barry, Selvi Kara +2
Graphical chip-firing is a discrete dynamical system where chips are placed on the vertices of a graph and exchanged via simple firing moves. Recent work has sought to generalize c…