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Prof. Dr. Elena Mäder-Baumdicker

Institut für Mathematik

Geometrische Analysis

Professorin

Adresse
Arnimallee 3, HH
Raum 133
14195 Berlin
Sekretariat
+4930 838 75407
Sandra Lindstädt
Telefon
+49 30 838 68583
E-Mail
elena.maeder-baumdicker[at]fu-berlin.de

Sprechstunde

Sprechstunden auf Anfrage. Schreiben Sie mir eine Email oder kommen Sie in meinem Büro vorbei.

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Here is a link to the IGA Seminar (Interuniversity Seminar in Geometric Analysis). This is a joint research seminar hosted between researchers from multiple institutes. The seminar takes place several times per semester and rotates between the participating universities. The seminar focuses on current research topics in Geometric Analysis and related areas, including Differential Geometry, Geometric PDEs, Calculus of Variations, and Geometric Measure Theory.

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Ich bin aktuell Vorsitzende der Tutorenfindungskommission. Relevante Links sind

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AI and in particular Large Language Models have developed rapidly and their influence on the world of mathematics is already very visible. I collected some thoughts of mathematicians how to react to these development. They also address fundamental questions like "What is mathematics and why do we do it?" and "How can we react to this development?":

The persons behind these links are responsible for the content, not me. I wanted to collect some links to make them available. 

Mathematicians are shaping their fields of mathematics. Take on your responsibility and shape your field so that it is prepared for the future.

Short CV:

  • Since 09/2025 at FU Berlin (professorship for Geometry)
  • 04/2019 until 08/2025: W2 Tenure Track professor for Geometry at Technische Universität Darmstadt
  • 02/2018 until 03/2019: Leopoldina fellowship -- research stay at the Princeton University, USA
  • 10/2014 until 01/2018: Postdoc at Karlsruhe Institute of Technology, group of Tobias Lamm
  • 10/2014 until 06/2015: Parental leave
  • 08/2014: Dissertation with the title "The area preserving curve shortening flow with Neumann free boundary conditions". Advisor: Ernst Kuwert at the University of Freiburg
  • 10/2010 until 09/2014: Teaching assistant of Ernst Kuwert at the University of Freiburg 
  • 11/2011 until 08/2012: Parental leave

Lehre am Mathematischen Institut

  • WiSe 2026/27: Analysis III, Seminar (Master und Bachelor), Forschungsseminar Geometrische Analysis
  • SoSe 2026: Analysis II, Lineare Algebra und Geometrie für das Lehramt, Forschungsseminar Geometrische Analysis
  • WiSe 2025/26: Analysis I, Seminar (Master), Forschungsseminar Geometrische Analysis

My research focuses on geometric variational problems and their connections to other areas of mathematics, such as differential topology. I study critical points of geometric functionals as well as parabolic evolution equations that arise from their gradient flows. Central questions include properties of critical points such as existence and uniqueness and analysis of singularities of geometric flows. I also investigate global features -- such as embeddedness and symmetry of minimizers of geometric functionals or stability analysis of critical points. I am particularly fascinated by non-orientable surfaces, the Willmore functional, and geometric partial differential equations of fourth order in general.

Refereed Publications

  • E. Mäder-Baumdicker, J. Seidel. The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow, arXiv:2506.23359, to appear in Forum of Mathematics, Sigma.

  • E. Mäder-Baumdicker, Nils Neumann. A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow. Communications in Analysis and Geometry, Volume 34, Number 1 (2026),  arXiv:2504.06089.

  • E. Mäder-Baumdicker, J. Seidel. The Injectivity Radius of Souls of Alexandrov Spaces. J. Geom. Anal. 35, No. 2, Paper No. 40, 37 p. (2025)

  • E. Mäder-Baumdicker, M. Rothe. Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-sphere. Int. J. Math. 36, No. 4, Article ID 2450086, 26 p. (2025)

  • J. Hirsch, R. Kusner, E. Mäder-Baumdicker. Geometry of complete minimal surfaces at infinity and the Willmore Morse index of their inversions. Calc. Var. Partial Differential Equations 63, no. 8, Paper No. 190, 30 pp. (2024)

  • B. Lambert, E. Mäder-Baumdicker. A note on Alexandrov immersed mean curvature flow. J. Geom. Anal. 34 (2024), no. 9, Paper No. 268, 25 pp.

  • B. Lambert, E. Mäder-Baumdicker. Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications. Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 202 (2023), 32 pp.

  • J. Giesselmann, E. Mäder-Baumdicker and D. J. Stonner. A posteriori estimates for Wave maps into spheres. Adv Comput Math 49, no.4, Paper No. 54  (2023), 31pp.

  •  J. Hirsch, E. Mäder-Baumdicker. On the Morse Index of Willmore Spheres. J. Differential Geom. 124 (2023), no. 1, 37–79.

  • E. Mäder-Baumdicker. Singularities of the area preserving curve shortening flow with a Neumann free boundary condition. Math. Ann. 371 (2018), no. 3-4, 1429-1448.

  • P. Breuning, J. Hirsch, E. Mäder-Baumdicker. Existence of minimizing Willmore Klein bottles in Euclidean four-space. Geom. Topol. 21 (2017), no.4, 2485-2526.

  • J. Hirsch, E. Mäder-Baumdicker. A note on Willmore minimizing Willmore Klein bottles in Euclidean space. Adv. Math. 319 (2017), 67-75.

  • E. Mäder-Baumdicker. The area preserving curve shortening flow with Neumann free boundary conditions. Geometric Flows 1 (2015), 34-79.

  • E. Mäder-Baumdicker. The area preserving curve shortening flow with Neumann free boundary conditions, PhD Thesis, University of Freiburg, Faculty of Mathematics and Physics, 155 p., 2014.

Other publications - and preprints

  • E. Mäder-Baumdicker, R. Neumayer, J. Park, M. Rupflin. Quantitative estimates for the relative isoperimetric problem and its gradient flow outside convex bodies in the plane. arXiv:2508.21198, preprint.

  • E. Mäder. Schwache Lösungen der instationären Stokes-Gleichungen auf bewegter Geometrie. Diplom thesis, Albert-Ludwigs-Universität Freiburg, 2010.