There is no next step after the singularity. It is the end of time. Vernor Vinge described it as an event horizon on the future. It is the point where the rate of recursive self improvement (measured by computing power) becomes infinite, so perceptually it is a point infinitely far in the future no matter how close you get.

Of course there won't be a singularity if our understanding of physics is correct. The universe is finite. It will only support 10^120 qubit flips and 10^90 bit writes.