Research Projects
Publications and preprints
[8] with Noa Vikman and Stefan Wenger: Monotone Sobolev extensions in metric surfaces and applications to uniformization (Preprint arXiv).
[7] with Noa Vikman and Stefan Wenger: Energy minimizing harmonic 2-spheres in metric spaces (Preprint arXiv).
[6] with Kai Rajala: Definitions of quasiconformality on metric surfaces,
Potential Anal (2025), published online first (Journal, Preprint arXiv).
[5] with Stefan Wenger: Quasiconformal almost parametrizations of metric surfaces,
J. Eur. Math. Soc. (JEMS) 27 (2025), no. 12, 5133–5154 (Journal, Preprint arXiv).
[4] with Kai Rajala: Mappings of finite distortion on metric surfaces,
Math. Ann. 391 (2025), 2479-2507 (Journal, Preprint arXiv).
[3] Quasiconformal uniformization of metric surfaces of higher topology,
Indiana Univ. Math. J. 73 (2024), No. 5, 1689–1713. (Journal, Preprint arXiv).
[2] with Dimitrios Ntalampekos: Lipschitz-Volume rigidity and Sobolev coarea inequality for metric surfaces,
J. Geom. Anal. 34 (2024), No. 5, Paper No. 128. (Journal, Preprint arXiv).
[1] with Martin Fitzi: Canonical parametrizations of metric surfaces of higher topology,
Ann. Fenn. Math. 48 (2023), No. 1, 67–80. (Journal, Preprint arXiv).
Thesis
2025 Quasiconformal Geometry and uniformization of metric surfaces, University of Fribourg (Switzerland) [Thesis]
Research Talks
Conference and Workshop talks (upcoming and past)
06/2026 Workshop in geometric analyisis, IMPAN, Warsaw
05/2026 Workshop on Potential Theory and Geometric Function Theory in Metric Spaces, Instituto de Ciencias Matemáticas Madrid
09/2025 Milan-Grenoble-Turin meeting in geometry and topology, Université Grenoble Alpes
07/2025 Differentialgeometrie im Grossen, Mathematisches Forschungsinstitut Oberwolfach
06/2025 Quasiweekend III, University of Helsinki
04/2025 Differential geometry beyond Riemannian manifolds, Hausdorff Research Institute for Mathematics Bonn
01/2025 Geometric structures and infinite-dimensional manifolds, ESI Vienna
08/2024 Workshop in Metric Geometry and Geometric Measure Theory, University of Fribourg
07/2024 Workshop: Geometry and Analysis on metric surfaces, IMPAN, Warsaw
04/2024 AMS Spring Eastern Sectional Meeting, Howard University, Washington DC
04/2023 AMS Spring Eastern Sectional Meeting, online
Seminar talks (upcoming and past)
02/2026 Créteil’s geometry colloquium, Université Paris Est Créteil
10/2025 Geometry Seminar, ETH Zurich
02/2025 Trimester Seminar Series, Hausdorff Research Institute for Mathematics Bonn
11/2024 Geometrie Seminar, Karlsruher Institut für Technologie
04/2024 Analysis Seminar, Stony Brook University
04/2024 Geometric Analysis and Topology Seminar, New York University
02/2024 Geometric analysis seminar, University of Jyväskylä
03/2023 Differential Geometry and Geometric Analysis Seminar, Princeton University
03/2023 Analysis Seminar, University of Tennessee, Knoxville
02/2023 Analysis Seminar, Stony Brook University
09/2022 Geometry Graduate Colloquium, ETH Zürich
05/2022 Oberseminar Differentialgeometrie, Max Planck Institute Bonn
12/2021 Bernoullis Tafelrunde, University of Basel
11/2021 Quasiworld Seminar, online
Talks available online
Energy minimizing harmonic 2-spheres in metric spaces (HIM Bonn)
Uniformization of metric surfaces (ESI Vienna, HIM Bonn)
Slides
Energy minimizing harmonic 2-spheres in metric spaces [Slides]
Mappings of finite distortion on metric surfaces [Slides]
Uniformization of metric surfaces with application to Lipschitz-Volume rigidity [Slides]
Posters
Mappings of finite distortion on metric surfaces [Poster]
Quasiconformal almost parametrizations of metric surfaces [Poster]
![[Poster]](Poster_Mappings-of-finite-distortion.png){kind=link}
Research Events
06 - 07/2026 Junior Leader at Simons Semester Geometric Analysis, Institute of Matematics of Polish Academy of Sciences, Warsaw
03/2025 Organizer of CUSO career day, University of Fribourg
2022 - 2025 Organizer of Bern-Fribourg Graduate Seminar, University of Bern and University of Fribourg
11/2023 Organizer of CUSO Graduate Colloquium, University of Fribourg