Gapless electronic topology driven by strong correlations is an emerging field of great interest, with heavy fermion compounds at its forefront. I will report on the giant signatures of topology observed in Ce₃Bi₄Pd₃, the material on which experiments [1,2], along with theoretical work on nonsymmorphic lattice models [3], have coined the notion of a Weyl-Kondo semimetal, and on the genuine topology control that can be achieved by magnetic field tuning, leading to the annihilation of the material’s Weyl nodes at moderate magnetic fields [4,5]. I will also discuss design strategies for further correlation-driven topological metals, and point to new candidate materials [6,7].