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

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CV2018★ 5 cited

On the inverse absolute continuity of quasiconformal mappings on hypersurfaces

Dimitrios Ntalampekos, Matthew Romney

We construct quasiconformal mappings $f : R^{3} \to R^{3}$ for which there is a Borel set $E \subset R^{2} \times {0}$ of positive Lebesgue $…

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…