  We study the quasinormal modes of massive Dirac spinors in the background of
rotating black holes. In particular, we consider the Kerr geometry as well as
the five dimensional Myers-Perry spacetime with equal angular momenta. We
decouple the equations using the standard methods from the literature. In the
five dimensional Myers-Perry black hole the angular equation is solved
analytically. Using the continued fraction method, we calculate the spectrum of
quasinormal modes for the ground modes and first excited modes. We analyze, in
a systematic way, its dependence on the different parameters of the black hole
and fermionic field. We compare our values with previous results available in
the literature for Kerr and for the static limit. The numerical results show
several differences between the four and five dimensional cases. For instance,
in five dimensions the symmetry between the positive and negative (real)
frequency of the modes breaks down, which results in a richer spectrum.
