I have two PhD students: Melanie Rothe and Nils Neumann.

If you have questions, please write me an Email and you will get an online or on-site appointment.

- I am co-organizer of the BIRS workshop „Non-linear critical point theory in analysis and geometry“. It takes place in Kelowna, Canada in August, 06 to 11, 2023.

- I am co-leader of the team „Variational Problems in Geometry“ at the „Women in Geometry 3“ conference of BIRS. It takes place in Banff, Canada, September 24 to 29, 2023.

- I was co-organizer of the conference in honor of Ernst Kuwert' 60th birthday, see this link here. It took place in Freiburg im Breigau, in the week of November 29 to December 03, 2021.

In fall 2022, we have the following talks in our AG Seminar at Fridays, 9:50am, see also our AG website here.

Here is the list of dates and speakers.

• 04.11.22 Ömer Genc (TU Darmstadt)
• 11.11.22 Sukie Vetter (TU Darmstadt)
• 18.11.22 Nikita Cernomazov (TU Darmstadt)
• 16.12.22 Karsten Große-Brauckmann (TU Darmstadt)
• 13.01.23 RMU Seminar Geometric Analysis with talks from
  Leonie Langer (Uni Ulm) and Julian Scheuer (Uni Frankfurt)
  -- Room 51 in S2|15 -- first Talk at 1.30pm
• 27.01.23 Philipp Käse (TU Darmstadt)
• 10.02.23 Roger Andary (TU Darmstadt)

Summer term 19: Bachelor seminar about minimal surfaces

Winter term 19/20: Differential Geometry (= Curves and Surfaces)

Winter term 20/21: AG Seminar

Summer term 21: Lecture Mean Curvature Flow and AG Seminar

Winter term 21/22: Master Seminar and AG Seminar

Summer term 22: Bachelor-Seminar on geometry and AG Seminar

Winter term 22/23: Geometrie für das Lehramt and AG Seminar

Summer term 23: Lecture Mean Curvature Flow and AG Seminar

I am interested in questions related to Geometric variational problems, for example minimal surfaces theory, Willmore surfaces or geometric flows.
I am working with methods from Partial differential equations, Differential geometry and Geometric measure theory.

My articles:

• (with J. Hirsch) On the Morse Index of Willmore Spheres, available on Arxiv here. Accepted in JDG.
• Singularities of the area preserving curve shortening flow with a Neumann free boundary condition, Math. Ann. 371(2018), no.3-4, 1429-1448, available on Arxiv here.
• (with P. Breuning and J. Hirsch) Existence of minimizing Willmore Klein bottles in Euclidean four-space, Geom. Topol. 21(2017), no.4, 2485-2526, available on Arxiv here.
• (with J. Hirsch) A note on Willmore minimizing Klein bottles in Euclidean space, Adv. Math. 319(2017), 67-75, available on Arxiv here.
• The area preserving curve shortening flow with Neumann free boundary conditions, Geom. Flows 1 (2015), no. 1, 34–79, available on Arxiv here.
• The area preserving curve shortening flow with Neumann free boundary conditions, PhD Thesis, University of Freiburg, Faculty of Mathematics and Physics, 155p., 2014.

My preprints:

• (with M. Rothe) The Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-sphere, available on Arxiv hier.
• (with B. Lambert) Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications, available on Arxiv here.
• (with B. Lambert) A note on Alexandrov immersed mean curvature flow, available on Arxiv here.
• (with J. Giesselmann and J. D. Stonner) A posteriori error estimates for wave maps into spheres, available on Arxiv here.
• (with Jonas Hirsch and Rob Kusner) Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions, available on Arxiv here.

I am member of the SPP 2026 „Geometry at infinity“, see SPP2026.

Jona Seidel: „The Soul of Alexandrov Spaces“ (Masterthesis 2023)

Nikita Cernomazov: „Are there homothetically shrinking solutions to the area-preserving curve shortening flow?“ (Masterthesis 2022)

Lukas Dillenkofer: „The Plateau Problem“ (Bachelorthesis 2021)

Olena Kozymka: „Zwei Anwendungen des Satzes von Stokes: Der Satz von Radó und der Satz vom gekämmten Igel“ (Bachelorthesis 2020)

Daniel Kunz: „Conformal Maps and Applications to the Theory of Minimal surfaces“ (Bachelorthesis 2020)

Elena Christine Tibke: „Die Enneper-Weierstraß Darstellung von Minimalflächen und der Uniformisierungssatz“ (Bachelorthesis 2020)