# Research

## Research Fields

### Inverse Problems

Inverse problems appear wherever one wants to infer the cause of a physical process from its effect. The latter is typically corrupted by measurement noise or imprecise physical modelling and makes this endeavor ill-posed. (read more)

### Mathematical Imaging

Mathematical imaging aims at generating images from measurement data which is not interpretable for the human eye. A typical application is the reconstruction of images from computer tomography data in medical imaging. (read more)

### Partial Differential Equations

Partial differential equations are ubiquitous in mathematics and physics since they are used to model numerous processes in science. The mathematical analysis and numerical approximation of these models pose interesting challenges. (read more)