G. Martin

activity

20242026

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3 papers · 1 filter

math.CV2024

The exponential Teichmüller theory: Ahlfors--Hopf differentials and diffeomorphisms

Gaven Martin, Cong Yao

We consider minimisers of the $p$ -exponential conformal energy for homeomorphisms $f : R \to S$ of finite distortion $\IK(z,f)$ between analytically finite Riemann surfaces in a fixe…

math.GR2024

On Thin Heckoid and Generalised Triangle Groups in $P S L (2, C)$ }

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in $P S L (2, C)$ . Here we give a complete list of the $55$ thin generalised triangle…

math.CV2024

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}^…

The exponential Teichmüller theory: Ahlfors--Hopf differentials and diffeomorphisms

On Thin Heckoid and Generalised Triangle Groups in PSL(2,C)}

Bounding deformation spaces of Kleinian groups with two generators

On Thin Heckoid and Generalised Triangle Groups in $P S L (2, C)$ }