Topological phases in solids are remarkable states of matter which exhibit striking properties.
For instance, in such phases, materials are band insulators in their bulk,
but develop robust exotic metallic states at their boundaries.
The quantum Hall effect, discovered in 1980, constitutes the historical example of such phases.
Remarkably, several key ideas developped to describe the topological properties
of quantum wave functions of electrons in materials actually apply also to many other waves,
such as electro-magnetic waves, acoustic waves or geophysical waves.
My research aims at finding and investigating the physical properties of topological waves,
beyond electronic topological insulators, with peculiar attention to periodically driven systems,
as well as photonic and geophysical waves.