4 problems

Free-by-cyclic graphical discreteness conjecture. A one-ended, hyperbolic free-by-cyclic group $F_n\rtimes_{\phi}\mathbb{Z}$ with trivial JSJ decomposition is graphically discrete.

Let $\mathbb F$ be a skew-field. The groups and invariants in the paper include the agrarian cohomological dimension $\operatorname{cd}_{\mathbb F}$ and the agrarian Betti numbers…

Let $F_m$ be a finitely generated free group, let $\varphi$ be an automorphism, and set … Assume that $\varphi$ is polynomially growing of degree $d$. For a Farber sequence…

Quasi-isometric invariance of irreducibility and atoroidality. If $F\rtimes_\phi\mathbb Z$ and $F'\rtimes_\psi\mathbb Z$ are quasi-isometric, then $\phi$ is irreducible and atoroid…