Matthew Romney

activity

20152023

most citedPolyhedral approximation of metric surfaces and applications to uniformization

19 citations · 30 across the 10 of their papers we have counts for

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Showing 2018 · math.MGShow all

2 papers · 2 filters

math.MG2018

Singular quasisymmetric mappings in dimensions two and greater

Matthew Romney

For all $n \geq 2$ , we construct a metric space $(X, d)$ and a quasisymmetric mapping $f : [0, 1]^{n} \to X$ with the property that $f^{- 1}$ is not absolutely continuous wi…

math.MG2018

Reciprocal lower bound on modulus of curve families in metric surfaces

Kai Rajala, Matthew Romney

We prove that any metric space $X$ homeomorphic to $R^{2}$ with locally finite Hausdorff 2-measure satisfies a reciprocal lower bound on modulus of curve families associated…