K. Schreve

activity

20242026

collaborators

6 papers

math.GT2026

Embedding complexes into pseudomanifolds

Kasia Jankiewicz, Kevin Schreve

We show that for $d \geq 2$ every finite $d$ -dimensional simplicial complex is a deformation retract of a $(2 d - 1)$ -dimensional pseudomanifold with boundary. Moreover, it embeds as a…

math.GR2025

Conformal dimension bounds, Pontryagin sphere boundaries, and algebraic fibering of right-angled Coxeter groups

Christopher H. Cashen, Pallavi Dani, Kevin Schreve +1

We introduce a graph-theoretic condition, called $(n, m)$ --branching, that ensures a combinatorial round tree with controlled branching parameters can be quasi-isometrically embedde…

math.GR2025

Cyclic orders and actions of Leary--Minasyan groups on coarse $PD (n)$ spaces

Arka Banerjee, Kevin Schreve

We show that for $n \geq 3$ , there are torsion-free CAT(0) groups with visual boundaries that embed into $S^{n}$ but which are not virtually the fundamental group of a compact aspher…

math.GT2024

L^2-Betti numbers of branched covers of hyperbolic manifolds

Grigori Avramidi, Boris Okun, Kevin Schreve

We show that Gromov-Thurston branched covers satisfy the Singer conjecture whenever the degree of the cover is not divisible by a finite set of primes determined by the base manifo…

math.GT2024

Edge subdivisions and the $L^{2}$ -homology of right-angled Coxeter groups

Grigori Avramidi, Boris Okun, Kevin Schreve

If $L$ is a flag triangulation of $S^{n - 1}$ , then the Davis complex $I^£_{L}$ for the associated right-angled Coxeter group $W_{L}$ is a contractible $n$ -manifold. A special case of a c…

math.GR2024

Orders and Fibering

Boris Okun, Kevin Schreve

In 2018, Kielak gave a virtual fibering criterion for RFRS groups. In this paper, we present a simpler proof of this.