Does inflation have to happen all in one go? The answer is no!
All cosmological problems can be solved by a sequence of bursts of cosmic acceleration, interrupted by short epochs of decelerated expansion.
In this rollercoaster cosmology, models that seem excluded for a single long stage become viable again, and high-scale inflation is more natural.
At the same time, we expect interesting predictions at several different length scales, such as gravitational wave signals potentially detectable by LISA.
I will describe the general framework, and focus on a realization with two stages of monodromy inflation.