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math.CO2024
The Ehrhart series of alcoved polytopes
Elisabeth Bullock, Yuhan Jiang
Alcoved polytopes are convex polytopes, which are the closure of a union of alcoves in an affine Coxeter arrangement. They are rational polytopes and, therefore, have Ehrhart quasi…
math.CO2021
Topology of augmented Bergman complexes
Elisabeth Bullock, Aidan Kelley, Victor Reiner +6
The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…
math.CO2020
Higher Secondary Polytopes for Two-Dimensional Zonotopes
Elisabeth Bullock, Katie Gravel
Very recently, Galashin, Postnikov, and Williams introduced the notion of higher secondary polytopes, generalizing the secondary polytope of Gelfand, Kapranov, and Zelevinsky. Give…