At the moment, I have two PhD students: Nils Neumann and Jona Seidel.

My former PhD students: Melanie Rothe

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.

- I was co-organizer of the conference ``Geometric Analysis meets Geometric Topology'' at the University of Heidelberg at February 25 to 28, 2019.

In the summer term 25, our AG seminar will take place on the following dates: June 6, June 13 and July 18. The place is room 301 in S2|15. If you are interested to participate, please write me an Email.

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

Winter term 23/24: Time for research and AG Seminar

Summer term 24: Seminar for Master students and Bachelor students

Winter term 24/25: Differential Geometry (= Curves and Surfaces) and AG Seminar

I am interested in global and local questions related to Differential Geometry, in particular Geometric variational problems. Examples are properties of minimal surfaces, Willmore surfaces and how to use geometric flows for questions in differential topology.

My articles:

• (with J. Seidel) The Injectivity Radius of Souls of Alexandrov Spaces, J. Geom. Anal. 35 (2025), no. 2, Paper No. 40, 37 pp., available on Arxiv here.
• (with M. Rothe) Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-sphere, available on Arxiv here, to appear in International Journal of Mathematics.
• (with J. Hirsch and R. Kusner) Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions, available on Arxiv here, Calc. Var. Partial Differential Equations 63 (2024), no. 8, Paper No. 190, 30 pp.
• (with B. Lambert) A note on Alexandrov immersed mean curvature flow, available on Arxiv here, J. Geom. Anal. 34 (2024), no. 9, Paper No. 268, 25 pp.
• (with B. Lambert) Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications, Calc. Var. Partial Differential Equations 62 (2023), no.7, Paper No. 202, 32 pp.; available on Arxiv here.
• (with J. Giesselmann and D. J. Stonner) A posteriori error estimates for wave maps into spheres, Adv. Comput. Math. 49 (2023), no.4, Paper No. 54, 31 pp.; available on Arxiv here.
• (with J. Hirsch) On the Index of Willmore Spheres. J. Differential Geom. 124(1):37--79, 2023, available on Arxiv here.
• 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 N. Neumann) A Monotonicity formula for the Extrinsic Biharmonic Map Heat Flow, available on Arxiv here, preprint.

more coming soon

In winter 24/25, we started the RMU Seminar Solution Concepts in PDEs „SoCo PDEs“.

In summer 25, the first seminar is on May 16, the second is on June 27, 2025. Both take place in Darmstart. Details can be found hier.

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

Since 2022, I am member of the AK-Gleichstellung. We try to improve the working environment toward an open culture.

I am co-founder of the initiative Meet&Math.

I give talks trying to convince school students that mathematics is interesting.

Some of my talks:

- „Der Eulersche Polyedersatz“ (Darmstädter Schülerinnen- und Schülernachmittag zur Mathematik, 2023-07-11)

– „Mathe an der TU DA – (viel) mehr als Rechnen“ (TU9-ING-Week 2022 at the TU Darmstadt 2022-08-16)

„Planar topology with Jordan curves and K_{3,3}“ (Bachelorthesis 2025)

„The Jordan-Schoenflies Theorem and the Classification of Surfaces“ (Bachelorthesis 2024)

„Noncollapsing in volume preserving Mean Curvature Flow“ (Masterthesis 2023),

„The Soul of Alexandrov Spaces“ (Masterthesis 2023),

„Volume preserving mean curvature flow“ (Masterthesis 2023),

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

„The Plateau Problem“ (Bachelorthesis 2021),

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

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

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