Sam Hopkins

activity

20192026

most citedCyclic Sieving for Plane Partitions and Symmetry

16 citations · 16 across the 4 of their papers we have counts for

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math.CO2025

Two $t$ -analogues of the tree inversion enumerator

Sam Hopkins

In this note, we introduce two $t$ -analogues $I_{n} (q, t)$ and $I_{n} (q, t)$ of the tree inversion enumerator $I_{n} (q)$ . Although similar, $I_{n} (q, t)$ and $\widetilde{I}_n(q,t)…

math.CO2025

Upho lattices II: ways of realizing a core

Sam Hopkins, Joel B. Lewis

A poset is called upper homogeneous, or "upho," if all of its principal order filters are isomorphic to the whole poset. In previous work of the first author, it was shown that eac…

Two t-analogues of the tree inversion enumerator

Upho lattices II: ways of realizing a core

Two $t$ -analogues of the tree inversion enumerator