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math.CO2026
A matroidal twist on a formula of Brion
Matthias Beck, Caroline Klivans, Dustin Ross
Brion's Formula realizes the Laurent polynomial of lattice points in a lattice polytope P as the sum of rational functions associated to the vertices of P. In this paper, we consid…
math.CO2025
Piecewise-exponential functions and Ehrhart fans
Melody Chan, Emily Clader, Caroline Klivans +1
This paper studies rings of integral piecewise-exponential functions on rational fans. Motivated by lattice-point counting in polytopes, we introduce a special class of unimodular…
math.CO2017
On the topology of no -equal spaces
Yuliy Baryshnikov, Caroline Klivans, Nicholas Kosar
We consider the topology of real no -equal spaces via the theory of cellular spanning trees. Our main theorem proves that the rank of the -dimensional homology of the no…