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Changing topological type of compression bodies through cone manifolds
Alex Elzenaar
Homeomorphism types of compression bodies form the vertices of a graph where two vertices are joined by an edge if one compression body is obtained by gluing a -handle onto the…
On Thin Heckoid and Generalised Triangle Groups in }
Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in . Here we give a complete list of the thin generalised triangle…
Putatively optimal projective spherical designs with little apparent symmetry
Alex Elzenaar, Shayne Waldron
We give some new explicit examples of putatively optimal projective spherical designs. i.e., ones for which there is numerical evidence that they are of minimal size. These form co…
Bounding deformation spaces of Kleinian groups with two generators
A. Elzenaar, J. Gong, G. J. Martin +1
In this article we provide simple and provable bounds on the size and shape of the locus of discrete subgroups of $\mathsf{PSL}(2,\mathbb{C})\cong \operatorname{Isom}^+(\mathbb{H}^…