4 papers
Cohomological aspects of power ideals
Colin Crowley, Matt Larson
We show that the space of sections of any line bundle on the augmented wonderful variety of a hyperplane arrangement has the structure of a coalgebra. These coalgebras correspond t…
Graded Ehrhart Theory of Unimodular Zonotopes
Colin Crowley, Ethan Partida
Graded Ehrhart theory is a new -analogue of Ehrhart theory based on the orbit harmonics method. We study the graded Ehrhart theory of unimodular zonotopes from a matroid-theoret…
The geometry of zonotopal algebras I: cohomology of graphical configuration spaces
Colin Crowley, Galen Dorpalen-Barry, André Henriques +1
Zonotopal algebras of vector arrangements are combinatorially-defined algebras with connections to approximation theory, introduced by Holtz and Ron and independently by Ardila and…
The geometry of zonotopal algebras II: Orlik--Terao algebras and Schubert varieties
Colin Crowley, Nicholas Proudfoot
Zonotopal algebras, introduced by Postnikov--Shapiro--Shapiro, Ardila--Postnikov, and Holtz--Ron, show up in many different contexts, including approximation theory, representation…