  The $\gamma$-ray strength function ($\gamma$SF) and nuclear level density
(NLD) have been extracted for the first time from inverse kinematic reactions
with the Oslo Method. This novel technique allows measurements of these
properties across a wide range of previously inaccessible nuclei.
Proton-$\gamma$ coincidence events from the $\mathrm{d}(^{86}\mathrm{Kr},
\mathrm{p}\gamma)^{87}\mathrm{Kr}$ reaction were measured at iThemba LABS and
the $\gamma$SF and NLD in $^{87}\mathrm{Kr}$ obtained. The low-energy region of
the $\gamma$SF is compared to Shell Model calculations which suggest this
region to be dominated by M1 strength. The $\gamma$SF and NLD are used as input
parameters to Hauser-Feshbach calculations to constrain $(\mathrm{n},\gamma)$
cross sections of nuclei using the TALYS reaction code. These results are
compared to $^{86}\mathrm{Kr}(n,\gamma)$ data from direct measurements.
