I am interested in geometric minimisation problems motivated from physics and biology. Currently, I am working on topics related to the Willmore energy such as the energy of a lipid bilayer cell membrane. Previously, I have also been working on topics related to the isoperimetric problem in the context of varifold geometry.
-  Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy. Joint with Andrea Mondino, arXiv:1904.12074
-  A novel type of Sobolev-Poincaré inequality for submanifolds of Euclidean space. Joint with Ulrich Menne, arXiv:1709.05504.
-  An isoperimetric inequality for diffused surfaces. Joint with Ulrich Menne, Kodai Math. J., DOI:10.2996/kmj/1521424824, arXiv:1612.03823.
-  Relating diameter and mean curvature for varifolds. MSc thesis, Institutional Repository of the University of Potsdam, http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-97013.
Since 2017, I am a MASDOC student at the University of Warwick heading for a PhD under the supervision of Andrea Mondino. The year before, I have been working at the Max Planck Institute for Gravitational Physics, Potsdam-Golm, Germany, under the supervision of Ulrich Menne, where I completed my works  and . In 2016, I obtained the MSc degree in Mathematics at the University of Potsdam, Germany.
Email: C dot Scharrer at warwick dot ac dot uk
Office: B3.04, Zeeman Building