12 citations · 98 across the 59 of their papers we have counts for
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Toric Promotion
Colin Defant
We introduce toric promotion as a cyclic analogue of Schützenberger's promotion operator. Toric promotion acts on the set of labelings of a graph . We discuss connections betwee…
Semidistrim Lattices
Colin Defant, Nathan Williams
We introduce semidistrim lattices, a simultaneous generalization of semidistributive and trim lattices that preserves many of their common properties. We prove that the elements of…
Crystal Pop-Stack Sorting and Type A Crystal Lattices
Colin Defant, Nathan Williams
Given a complex simple Lie algebra and a dominant weight , let be the crystal poset associated to the irreducible representation of wi…
Homomesy via Toggleability Statistics
Colin Defant, Sam Hopkins, Svetlana Poznanović +1
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…
The runsort permuton
Noga Alon, Colin Defant, Noah Kravitz
Suppose we choose a permutation uniformly at random from . Let be the permutation obtained by sorting the ascending runs of into lexicographic or…
Meeting Covered Elements in -Tamari Lattices
Colin Defant
For each complete meet-semilattice , we define an operator by \[\mathsf{Pop}_M(x)=\bigwedge(\{y\in M:y\lessdot x\}\cup\{x\}).\] When is the right wea…