  Large turns in multifield inflation can lead to a very rich phenomenology,
but are difficult to realise in supergravity, and typically require large field
space curvatures. In this work, we present a mechanism to realise multiple
sharp turns, and therefore strong non-geodesic trajectories, from transient
violations of slow-roll without the requirement of large field space curvatures
in supergravity inflation. Such turning rates can strongly source the adiabatic
fluctuations, resulting in an enhanced scalar power spectrum with resonant
features and a large peak amplitude. If the growth of the scalar power spectrum
at small scales is large enough, primordial black holes can be produced in
abundance. These large scalar fluctuations induce a characteristic large
spectrum of gravitational waves for a wide range of frequencies, which inherits
the resonant features. We illustrate this mechanism in a supergravity model of
axion monodromy, which provides the first concrete model to realise such
resonant features. The model can sustain inflation for around 60 e-folds,
leading to considerable production of very light primordial black holes, and
large gravitational wave spectra, which could be detectable by multiple
upcoming gravitational wave surveys. For the set of parameter we consider,
large oscillations occur at all scales. This represents a challenge for the
model at large scales and motivates further investigation to reconcile this
class of models with Planck data.
