2 papers
math.CO2024
A note on large torsion in -acyclic complexes
Andrew Vander Werf
New upper bounds on the size of the torsion group of a -acyclic simplicial complex are introduced which depend only on the vertex degree sequence of the complex and its…
math.PR2021
Random geometric graphs and the spherical Wishart matrix
Elliot Paquette, Andrew Vander Werf
We consider the random geometric graph on vertices drawn uniformly from a --dimensional sphere. We focus on the sparse regime, when the expected degree is constant independe…