Research Interests

My research is motivated by questions of bio-medical interest and covers topics in mathematical modelling, scientific computing, analysis of partial differential equations as well as aspects of numerical analysis, in the context of systems of interacting species. Unlike their one-species counterparts, systems often exhibit richer, more complex behaviour.

In particular, I am interested in

• non-local partial differential equations
• parabolic theory and cross-diffusion systems
• systems exhibiting gradient flow structures
• systems of interacting particles, coarse-graining, mean-field limits
• pattern formation in systems of interacting species (at a micro and macro level)
• phase segregation phenomena and the regularity of solutions to PDEs arising in this context
• singular limits and incompressible limits in tissue growth models

About

I obtained my Bachelor of Mathematics at the TU Kaiserlautern in 2014, with my thesis supervised by Prof. R. Pinnau and Prof. O. Tse . In the same year I began the master's programme MSc in Mathematical Modelling and Scientific Computing at the University of Oxford, which I completed with distinction. My dissertation was supervised by Prof. J. Chapman and Prof. M. Bruna . From 2015 to 2019 I was a PhD student at Imperial College London under the supervision of Prof. J. A. Carrillo . I spent one year as an FSMP postdoctoral researcher, hosted by Prof. B. Perthame, at Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris. On October 1st, 2020, I was inaugurated as a Junior-Professor of Applied Mathematics at the Institute of Scientific Computing at the Technical University of Dresden .