Quantum jumps pre-date the birth of modern quantum theory 100 years ago. But the modern understanding of these and other quantum stochastic processes emerged only in the early 1990s, via a process of convergence of surprisingly many different streams of research, in experimental and theoretical atomic physics and quantum optics, quantum foundations, mathematical physics, and control theory. Serendipitously, I began my PhD on this topic just as this was happening, so I played a small role in this development. My enduring fascination with the stochastic "unravellings" of the evolution of simple quantum systems also led to the formalisation of EPR-steering, to design experiments (yet to be done) to definitively disprove the idea that atoms undergo quantum jumps (or any other objective stochastic unravelling) independent of our observation.