Mathematical Analysis
Ordinary and partial differential equations (ODEs and PDEs) are successful, widely used mathematical models that describe, explain and predict phenomena in physics, chemistry, biology and economics.
We carry out research in the field of differential equations and dynamical systems from a variety of perspectives. On the theoretical side, we have a profound interest in the interaction with other disciplines in mathematics, such as topology, algebra and functional analysis, with the aim of developing new mathematical tools and techniques.
This is complemented by a strong effort to understand concrete model problems arising in applications. These include reaction diffusion equations, combustion problems, lattice models, integrable systems, Hamiltonian ODEs and various problems from biology. In the study of these models, we use both rigorous, formal and numerical methods.
Detailed research descriptions are found under the following links:
