14 citations · 34 across the 22 of their papers we have counts for
25 papers
From configuration spaces to graph complexes via FA-modules
Ayako Carter, Benjamin C. Ward
Work of Gadish and Hainaut (after Petersen) models the compactly supported cohomology of a wedge of circles as a polynomial functor. We identify the coefficients of this functor, $…
Representation Stability for Marked Graph Complexes
Enoch Fedah, Benjamin C. Ward
We prove a sharp representation stability result for graph complexes with a distinguished vertex, and prove that the chains realizing this sharp bound pass to non-trivial families…
Schwarz Modular Operads Revisited:
Ralph M. Kaufmann, Benjamin C. Ward
We prove that the Feynman category encoding Schwarz's variant of modular operads is Koszul. Our proof uses a generalization of the theory of distributive laws to the groupoid color…
Dual -adic Diophantine approximation on manifolds
Mumtaz Hussain, Johannes Schleischitz, Benjamin Ward
The Generalised Baker-Schmidt Problem (1970) concerns the Hausdorff measure of the set of -approximable points on a nondegenerate manifold. Beresnevich-Dickinson-Velani (in 2006…
Stirling Decomposition of Graph Homology in Genus 1
Benjamin C. Ward
We prove that commutative graph homology in genus with markings has a direct sum decomposition whose summands have rank given by Stirling numbers of the first kind.…
Weighted approximation for limsup sets
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
Theorems of Khintchine, Groshev, Jarník, and Besicovitch in Diophantine approximation are fundamental results on the metric properties of -well approximable sets. These foundati…