3 problems

Uniformization of the CRF. The following statements are equivalent: the combinatorial Ricci flow on $\mathcal{T}$ converges for every initial value in hyperbolic background geometr…

Let $\Sigma$ be a hyperbolic surface, let $\mathcal{L}_{\Sigma}$ be its Liouville current, and let $\operatorname{EL}_{\Sigma}$ denote the continuous extension of extremal length t…

Let $\mathcal{M}_2$ denote the moduli space of conformal classes of closed genus-$2$ surfaces. For a conformal class $X\in\mathcal{M}_2$, let…