6 citations · 22 across the 13 of their papers we have counts for
20 papers
Simplicial volume and 0-strata of separating filtrations
Hannah Alpert
We use Papasoglu's method of area-minimizing separating sets to give an alternative proof, and explicit constants, for the following theorem of Guth and Braun--Sauer: If is a c…
Asymptotic Betti numbers for hard squares in the homological liquid regime
Hannah Alpert, Matthew Kahle, Robert MacPherson
We study configuration spaces of ordered unit squares in a by rectangle. Our goal is to estimate the Betti numbers for large , , , and . We con…
Systolic almost-rigidity modulo 2
Hannah Alpert, Alexey Balitskiy, Larry Guth
No power law systolic freedom is possible for the product of mod systoles of dimension and codimension . This means that any closed -dimensional Riemannian manifold $…
Macroscopic scalar curvature and codimension 2 width
Hannah Alpert, Alexey Balitskiy, Larry Guth
We show that a complete -dimensional Riemannian manifold with finitely generated first homology has macroscopic dimension if it satisfies the following "macroscopic curv…
Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories
Hannah Alpert, Fedor Manin
We give -bases for the homology and cohomology of the configuration space of unit disks in an infinite strip of width , first studie…
Routing by matching on convex pieces of grid graphs
H. Alpert, R. Barnes, S. Bell +4
The routing number is a graph invariant introduced by Alon, Chung, and Graham in 1994, and it has been studied for trees and other classes of graphs such as hypercubes. It gives th…