37 citations · 54 across the 14 of their papers we have counts for
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math.CO2023
The Poincaré-extended ab-index
Galen Dorpalen-Barry, Joshua Maglione, Christian Stump
Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré-extended ab-index, which gen…
math.CO2021★ 2 cited
On the geometry of flag Hilbert-Poincaré series for matroids
Lukas Kühne, Joshua Maglione
We extend the definition of coarse flag Hilbert--Poincaré series to matroids; these series arise in the context of local Igusa zeta functions associated to hyperplane arrangements.…
math.CO2021
Flag Hilbert-Poincaré series of hyperplane arrangements and their Igusa zeta functions
Joshua Maglione, Christopher Voll
We introduce and study a class of multivariate rational functions associated with hyperplane arrangements, called flag Hilbert-Poincaré series. These series are intimately connecte…