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 63 (2025), no. 4, 2019–2037 (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

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]