We investigate topology in structures that dissipate or amplify, which are captured by non-Hermitian Hamiltonians. These Hamiltonians find applications both in classical and quantum setups, and are particularly relevant in photonics. The study of these Hamiltonians in the context of topology is a new emerging field, where many unexpected phenomena are observed, such as the breakdown of the famed bulk-boundary correspondence, the piling up of bulk states at the boundaries known as the non-Hermitian skin effect, and the appearance of defective degeneracies called exceptional points.

In our research group, we study among other things:

• exceptional structures and symmetries
• hybrid systems
• many-body non-Hermitian phenomena