This focus workshop brings together experts sharing a common interest pertaining to the interplay between strong correlations, disorder and topology, in various systems straddling different cutting-edge domains of research. The workshop provides a platform to discuss their ideas, recent discoveries and new methods. Systems of interest range from Moiré heterostructures, iron-based superconductors, frustrated magnets and many-body localized systems, common to the hard condensed-matter community, to epidemics, population growth and biological oscillators, common to the communities of soft condensed matter and statistical mechanics.