70 citations · 149 across the 15 of their papers we have counts for
18 papers
Real Tree Vineyards have Vines
Michael Hull, Thomas Payne, Thomas Weighill
We show that every vineyard can be decomposed into vines, that is, every path in the space of persistence diagrams can be decomposed into a sequence of paths in $\mat…
Subgroup mixing and random walks in groups acting on hyperbolic spaces
M. Hull, A. Minasyan, D. Osin
We study the topological dynamics of the action of an acylindrically hyperbolic group on the space of its infinite index convex cocompact subgroups by conjugation. We show that, fo…
Gaussian Persistence Curves
Yu-Min Chung, Michael Hull, Austin Lawson +1
Topological data analysis (TDA) is a rising field in the intersection of mathematics, statistics, and computer science/data science. The cornerstone of TDA is persistent homology,…
Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture
Luca F. Di Cerbo, Michael Hull
We prove the Singer conjecture for extended graph manifolds and pure complex-hyperbolic higher graph manifolds with residually finite fundamental groups. In real dimension three, w…
Splittings of right-angled Artin groups
M. Hull
We show that if a right-angled Artin group has a non-trivial, minimal action on a tree which is not a line, then contains a separating subgraph such that …
Homomorphisms to 3-manifold groups
Daniel Groves, Michael Hull, Hao Liang
We prove foundational results about the set of homomorphisms from a finitely generated group to the collection of all fundamental groups of compact 3-manifolds and answer questions…