Dr. Christian Scharrer

Postdoctoral assistant of Prof. Dr. Stefan Müller

Room: 2.053

Email: Scharrer@iam.uni-bonn.de

Phone: +(49)228-73-62298

Research summary

I'm interested in geometric variational problems, as well as related inequalities, and gradient flows. My focus lies on the minimization of curvature based functionals in the class of immersed surfaces. This includes the Lebesgue 2-norm of the mean curvature, known as Willmore energy, or the so-called Helfrich functional, which models the energy of lipid bilayer cell membranes. I investigate how global constraints on area, volume, or total mean curvature can influence the shape of minimizers. Moreover, I explore the effects of small energy on geometry and topology. Together, my friends and I discovered a sharp energy threshold for the Willmore functional that excludes the existence of short closed geodesics. The methods that I use combine geometric measure theory, differential geometry, the theory of partial differential equations, and functional analysis.


Prof. Dr. Lisa Sauermann has been honored with the von Kaven Award 2023 for her outstanding scientific achievements. (16.11.2023)

Prof. Dr. Angkana Rüland has been awarded a New Horizons in Mathematics Prize 2024 for her contributions to applied analysis:

Prof. Dr. Angkana Rüland has been awarded the Calderon Prize that is awarded every two years by the Inverse Problems International Association: https://www.hcm.uni-bonn.de/hcm-news/calderon-prize-for-angkana-rueland/ (06.09.2023)

Prof. Dr. Karl-Theodor Sturm has been elected into the Academia Europaea. (28.06.2022)

Florian Schweiger erhielt den Hausdorff-Gedächtnispreis 2021 der Fachgruppe Mathematik für die beste Dissertation. Er fertigte die Dissertation unter der Betreuung von Prof. Stefan Müller an. Unter anderen wurde Vanessa Ryborz mit einem Preis der Bonner Mathematischen Gesellschaft für ihre von Prof. Sergio Conti betreute Bachelorarbeit ausgezeichnet. (18.01.2022)

Prof. Dr. Sergio Albeverio has been elected into the Academia Europaea and the Accademia Nazionale dei Lincei (more; 02.12.2021).


Managing Director: Prof. Dr. Juan J. L. Velázquez
Chief Administrator: Dr. B. Doerffel
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany