  These lecture notes discuss various aspects of the fuzzball paradigm,
microstate geometries, and their role in gravitational phenomenology. We
briefly introduce the information paradox and discuss how the fuzzball paradigm
aims to resolve it. Then, some important families of fuzzball solutions in
supergravity, called microstate geometries, are explored: multi-centered
bubbling geometries and superstrata. Finally, we will review some very recent
developments of the phenomenology of fuzzballs and delineate the exciting
opportunities as well as the limitations of studying fuzzballs as alternatives
to black holes in current and future observations.
