We survey all known examples of finite posets whose order polynomials have product
formulas, and we propose the heuristic that these are the same posets with good dynamical …

Abstract We relate Reiner, Tenner, and Yong's coincidental down-degree expectations
(CDE) property of posets to the minuscule doppelgänger pairs studied by Hamaker, Patrias …

We extend the periodicity of birational rowmotion for rectangular posets to the case when the
base field is replaced by a noncommutative ring (under appropriate conditions). This …

The rowmotion operator acting on the set of order ideals of a finite poset has been the focus
of a significant amount of recent research. One of the major goals has been to exhibit …

We define a birational map between labelings of a rectangular poset and its associated
trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these …

In dynamical algebraic combinatorics, we study group actions on combinatorial structures
and the orbit structure of these actions. The main group action considered in this thesis is …