4 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 $\mathbf{T}_g$ be Teichmüller space, let $\mathcal{C}$ be the class of possibly asymmetric Finsler metrics on $\mathbf{T}_g$ for which every tangent vector is tangent at time z…

Extremal length systole maximum conjecture. The function

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…