Research focus
We currently specialise in the following themes:
Applied Analysis
- Deterministic and stochastic infinite dimensional dynamical systems
- Well-posedness of nonlinear evolution equations
- Qualitative behaviour of solutions
- Formation of singularities
- Calculus of Variations (e.g. existence theory, regularity)
Modelling and Applications
- Mathematical biology (e.g. cell-biology, thin-films, neuroscience, tumour growth)
- Nonlinear wave propagation (e.g. for high-intensity ultrasound, marine reserves)
- Geosciences (e.g. porous-media flow, volcanology)
- Materials science (e.g. pattern formation, phase transitions)
- Imaging science (e.g. reconstruction of damaged images, noise reduction)
Numerics and Computation
- Stochastic and deterministic (partial) differential equations
- Numerical wave propagation and optimisation
- Computational biology and neuroscience
- Computational finance and economics
- Uncertainty quantification