Polyhedral approximation of metric surfaces and applications to uniformization D Ntalampekos, M Romney
arXiv preprint arXiv:2107.07422, 2021
26 2021 Reciprocal lower bound on modulus of curve families in metric surfaces K Rajala, M Romney
Annales Academiae Scientiarum Fennicae-Mathematica 44, 2019
18 2019 Univalency of convolutions of harmonic mappings Z Boyd, M Dorff, M Nowak, M Romney, M Wołoszkiewicz
Applied Mathematics and Computation 234, 326-332, 2014
18 2014 Polyhedral approximation and uniformization for non-length surfaces D Ntalampekos, M Romney
Journal of the European Mathematical Society, 2024
11 2024 Quasiconformal geometry and removable sets for conformal mappings T Ikonen, M Romney
Journal d'Analyse Mathématique 148 (1), 119-185, 2022
11 2022 Uniformization with infinitesimally metric measures K Rajala, M Rasimus, M Romney
The Journal of Geometric Analysis 31 (11), 11445-11470, 2021
11 2021 Quasiconformal parametrization of metric surfaces with small dilatation M Romney
Indiana University Mathematics Journal 68 (3), 1003-1011, 2019
11 2019 Triangulating metric surfaces P Creutz, M Romney
Proceedings of the London Mathematical Society 125 (6), 1426-1451, 2022
10 2022 Bi-Lipschitz embedding of the generalized Grushin plane in Euclidean spaces M Romney, V Vellis
arXiv preprint arXiv:1503.06588, 2015
10 2015 Conformal Grushin spaces M Romney
Conformal Geometry and Dynamics of the American Mathematical Society 20 (6 …, 2016
9 2016 The branch set of minimal disks in metric spaces P Creutz, M Romney
International Mathematics Research Notices 2023 (7), 5569-5603, 2023
6 2023 Singular quasisymmetric mappings in dimensions two and greater M Romney
Advances in Mathematics 351, 479-494, 2019
6 2019 On the inverse absolute continuity of quasiconformal mappings on hypersurfaces D Ntalampekos, M Romney
American Journal of Mathematics 143 (5), 1633-1659, 2021
4 2021 Quasiconformal mappings on the Grushin plane C Gartland, D Jung, M Romney
Mathematische Zeitschrift 287 (3-4), 915-928, 2017
3 2017 On CAT( S Chowdhury, H Hu, M Romney, A Tsou
arXiv preprint arXiv:2309.13533, 2023
2 2023 A class of univalent convolutions of harmonic mappings MD Romney
Brigham Young University, 2013
1 2013 Factorization and piecewise affine approximation of bi-Lipschitz mappings on large sets GC David, M Romney, R Schul
arXiv preprint arXiv:2409.05825, 2024
2024 Bi-Lipschitz embedding metric triangles in the plane X Luo, M Romney, AL Tao
arXiv preprint arXiv:2407.20019, 2024
2024 Remarks on conformal modulus in metric spaces M Romney
arXiv preprint arXiv:2208.12132, 2022
2022 Metric geometry of the Grushin plane and generalizations M Romney
University of Illinois at Urbana-Champaign, 2017
2017 