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Welcome to my website!

Currently, I am on parental leave.

In 2013, I obtained my PhD from the Faculty of Sciences, Friedrich-Alexander-University Erlangen-Nürnberg, Germany. Afterwards, I had several positions in Germany, Norway and Sweden. Currently, I am Research Associate (Postdoc) at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, and member of the research group Thermodynamic Modeling and Analysis of Phase Transitions. Prior to my current position, I was Postdoctoral Research Fellow at the Department of Mathematics of the University of Oslo (UiO), Norway, and member of the Section Differential Equations and Computational Mathematics. During my time at UiO I had a 6-months research stay in 2020 at the Centre for Mathematical Sciences, Lund University, Sweden. For more details, please see my curriculum vitae.

My research is focused on Applied Analysis, Partial Differential Equations (PDEs), Dynamical Systems, Mathematical Modelling, e.g. in biomedical applications, and numerical simulations. In the field of PDEs, I am intrested in existence and regularity theory for parabolic PDEs and obstacle problems. For instance, I am working on nonstandard growth problems motivated, e.g. by electro-rheological fluids. In addition, my research is focused on bifurcation theory, numerical bifurcation analysis and geometric singular perturbation theory. One main application is the mathematical and numerical investigation of cardiac arrhythmia, e.g. so-called early afterdepolarisations, please see my research interest.

In general, I am interested in problems motivated from physics, biology or medicine, e.g. fluid mechanics and human diseases as cardiac arrhythmia or seizures, and I am open-minded for new problems and challenges in mathematics and interdisciplinary/multidisciplinary research.

Types of partial differential equations, problems and models I am working on are:

  • reaction-diffusion equations

  • elliptic and parabolic p-Laplacian

  • free-boundary problems

  • Euler's equations

  • monodomain and bidomain equations

  • Keller-Segel systems and related problems

  • elasticity equations and problems

  • agent-based models

Moroever, I am member of the project "Mathematical Modelling of Cellular Self-Organization on Stimuli Responsive Extracellular Matrix", an interdiciplinary research project with the Charité in Berlin. For more details, please see the project website on https://mathplus.de/

Email: andre.erhardt(at)wias-berlin.de

Phone: +49 (0)30 20372-537

Address: Weierstrass Institute

Mohrenstraße 39

10117 BerlinGermany

Room: 204



Personal interests:

Sports: running - bouldering - climbing - hiking - skiing

Cultural interests: theatre - history - nature - travels - different cultures and countries