132 citations · 599 across the 73 of their papers we have counts for
79 papers
Permutoric Promotion: Gliding Globs, Sliding Stones, and Colliding Coins
Colin Defant, Rachana Madhukara, Hugh Thomas
The first author recently introduced toric promotion, an operator that acts on the labelings of a graph and serves as a cyclic analogue of Schützenberger's promotion operator.…
Shard modules
Will Dana, David E Speyer, Hugh Thomas
Motivated by the goal of studying cluster algebras in infinite type, we study the stability domains of modules for the preprojective algebra in the corresponding infinite types. Sp…
A uniqueness property of τ exceptional sequences
Eric J. Hanson, Hugh Thomas
Recently, Buan and Marsh showed that if two complete -exceptional sequences agree in all but at most one term, then they must agree everywhere, provided the algebra is -tilti…
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
Proof of a conjecture of Matherne, Morales, and Selover on encodings of unit interval orders
Félix Gélinas, Adrien Segovia, Hugh Thomas
There are two bijections from unit interval orders on elements to Dyck paths from to . One is to consider the pairs of incomparable elements, which form the set…