  We study supersymmetric deformations of N = 4 quantum mechanics with a Kahler
target space admitting a holomorphic isometry. We show that the twisted mass
deformation generalises to a deformation constructed from matrix-valued
functions of the moment map, which obey the Nahm equations. We also explain how
N = 4 supersymmetry implies that the Berry connection on the vacuum bundle for
this theory satisfies the BPS monopole equations. In the case where the target
space is a Riemann sphere, our analysis reduces to the standard Nahm
construction of monopoles. This generalises an earlier result by Sonner and
Tong to the case of monopoles of magnetic charge greater than one.
