My research revolves mainly around minimal surfaces in metric spaces and their parametrizations.
Publications & Preprints:
The Plateau-Douglas problem for singular configurations and in general metric spaces, collaboration with P. Creutz.
submitted, 2020
Canonical parametrizations of metric surfaces of higher topology, collaboration with D. Meier.
Annales Fennici Mathematici, 48(1), 67–80, 2022
Area minimizing surfaces of bounded genus in metric spaces, collaboration with S. Wenger.
Journal für die reine und angewandte Mathematik (Crelle's journal), 770:87-112, 2021
Morrey's ε-conformality lemma in metric spaces, collaboration with S. Wenger.
Proceedings of the American Mathematical Society, 148(10):4285-4298, 2020
(preprints available on arXiv.org)
Talks & Posters
Solution to the Plateau-Douglas problem in Euclidean space, Talk.
Invitation to the Metric Geometry seminar, University of Cologne, 21.01.2020
Morrey's ε-conformality lemma in metric spaces, Talk.
Conference "Geometry and analysis in function and mapping theory on Euclidean and metric measure spaces", Institute of Mathematics, Polish Academy of Sciences, Warsaw, 26.09.2019
Minimal surfaces of higher genus in metric spaces, Talk.
Summer school "Geometric Analysis on Riemannian and Singular Metric Measure Spaces", Lake Como, 04.07.2019
Solution to the Plateau-Douglas problem in Euclidean space, Talk.
Invitation to the Oberseminar Geometrie, University of Fribourg, 29.05.2019
The Plateau-Douglas problem in metric spaces, Poster.
Conference "Geometric Measure Theory and its Connections", Helsinki, 04. - 08.06.2018