- Analysis and dynamical systems
- Analysis and probability
- Dynamical systems
- Hilbert's sixth problem
- Limit cycle
- Linear differential systems
- Normal forms
- Parabolic point
- Predator-prey system
- Singularity
- Unfoldings of singularities

Our faculty members and researchers have vast expertise in many advanced aeras, as can be seen in the list below.
For the complete list of our experts, see the Departmental directory.