I'm interested in geometric variational problems with motivations coming from physics and biology as well as in curvature based inequalities that arise in the context of such problems. More precisely, I've been working on the following topics
- Constant mean curvature surfaces of revolution
- Willmore energy under fixed isoperimetric ratio
- Bending energies associated to biological cell membranes
- Diameter bounds for solutions of Plateau's problem
- Geometric inequalities in varifold geometry
Publications, Preprints & Theses
 Christian Scharrer. Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities. arXiv
 Christian Scharrer. Embedded Delaunay tori and their Willmore energy. arXiv
 Andrea Mondino and Christian Scharrer. Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy. Arch. Ration. Mech. Anal. (2020) doi
 Ulrich Menne and Christian Scharrer. A novel type of Sobolev-Poincaré inequality for submanifolds of Euclidean space. arXiv
 Christian Scharrer. Relating diameter and mean curvature for varifolds. MSc thesis supervised by Ulrich Menne, University of Potsdam, 2016. urn
2021 - 2022 Postdoctoral fellow at the Max Planck Institute for Mathematics, Bonn (Germany).
2017 - 2021 MASDOC student at the University of Warwick heading for a PhD under the supervision of Andrea Mondino.
2016 - 2017 Research at the Max Planck Institute for Gravitational Physics (Potsdam-Golm, Germany) under the supervision of Ulrich Menne.
2016 MSc in mathematics at the University of Potsdam (Germany).