143 citations · 581 across the 51 of their papers we have counts for
58 papers
Evasion paths by homotopy limits
Gunnar Carlsson, Benjamin Filippenko, Wyatt Mackey
The evasion paths problem asks when a dynamically changing space can be navigated: imagine guards are patrolling a region, for instance, and we need to stay outside their view. We…
Approximating Absolute Galois Groups
Gunnar Carlsson, Roy Joshua
This paper formulates a group condition which is enjoyed by absolute Galois groups, and which guarantees that profinite groups satisfying the condition can be approximated as an in…
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach
Gunnar Carlsson, Facundo Mémoli, Santiago Segarra
We provide a complete taxonomic characterization of robust hierarchical clustering methods for directed networks following an axiomatic approach. We begin by introducing three prac…
Topological Deep Learning
Ephy R. Love, Benjamin Filippenko, Vasileios Maroulas +1
This work introduces the Topological CNN (TCNN), which encompasses several topologically defined convolutional methods. Manifolds with important relationships to the natural image…
Motivic and Étale Spanier-Whitehead duality and the Becker-Gottlieb transfer
Gunnar Carlsson, Roy Joshua
In this paper, we develop a theory of Becker-Gottlieb transfer based on Spanier-Whitehead duality that holds in both the motivic and étale settings for smooth quasi-projective vari…
The space of sections of a smooth function
Gunnar Carlsson, Benjamin Filippenko
Given a compact manifold with boundary and a submersion whose restriction to the boundary of has isolated critical points with distinct critical value…