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Christian Scharrer

Research

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.

Publications

[4] Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy. Joint with Andrea Mondino, arXiv:1904.12074.

[3] A novel type of Sobolev-Poincaré inequality for submanifolds of Euclidean space. Joint with Ulrich Menne, arXiv:1709.05504.

[2] An isoperimetric inequality for diffused surfaces. Joint with Ulrich Menne, Kodai Math. J., DOI:10.2996/kmj/1521424824, arXiv:1612.03823.

[1] 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.

Teaching Assistance

  • MA3G7 Functional Analysis I (2019)
  • MA250 Introduction to Partial Differential Equations (2018/2019)
  • MA259 Multivariable Calculus (2018)

Background

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 [2] and [3]. 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