Prof. Mäder-Baumdicker
Bild: Elena Mäder-Baumdicker

Prof. Dr. Elena Mäder-Baumdicker

Arbeitsgebiet(e)

Geometrie und Approximation

Kontakt

work +49 6151 16-22497
fax +49 6151 16-22498

Work S2|15 307
Schlossgartenstr. 7
64289 Darmstadt

In winter 24/25, we start the RMU Seminar Solution Concepts in PDEs. The first seminar is on November 29, 2024, in Darmstadt, the second is on January 24, 2025, in Mainz. Details can be found hier.

I have three PhD students: Melanie Rothe , Nils Neumann and Jona Seidel.

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 winter term 24/25, our AG seminar will take place at Wednesdays, 9:15 am in 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

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 Jonas Hirsch and Rob Kusner) Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions, available on Arxiv here, to appear in Calc. Var. Partial Differential Equations.
  • (with B. Lambert) A note on Alexandrov immersed mean curvature flow, available on Arxiv here, to appear in the Journal of Geometric Analysis.
  • (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 Jona Seidel) The Injectivity Radius of Souls of Alexandrov Spaces, available on Arxiv here.
  • (with M. Rothe) Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-sphere, available on Arxiv here.
since 04/2019 Tenure Track position for „Geometry“ at the TU Darmstadt
04/2020 – 07/2020 Maternal leave
02/2018 – 03/2019 Research Stay at the Princeton University funded by the Deutsche Akademie der Naturforscher Leopoldina – German National Academy of Sciences
10/2017 – 03/2019 Temporary position as principal investigator funded by the DFG
10/2014 – 09/2017 Postdoc position in the group of Tobias Lamm at KIT
10/2014 – 06/2015 Parental leave
08/2014 PhD in Mathematics, University of Freiburg, Advisor: Ernst Kuwert
11/2011 – 08/2012 Parental leave
08/2010 Diploma in Mathematics, University of Freiburg

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)

„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)