  The Bargmann algebra and centrally-extended Newton-Hooke algebras describe
the non-relativistic symmetries of massive particles in flat and curved
spacetimes, respectively. These three algebras all arise as deformations of the
universal central-extension of the static kinematical Lie algebra. In this
paper, we classify the N=1 super-extensions for each of these algebras in
(3+1)-dimensions, up to isomorphism. We then identify the non-empty branches of
the algebraic variety describing the N=2 super-extensions of these algebras. We
find 9 isomorphism classes in the N=1 case and 22 branches in the N=2 case. We
then give a brief discussion on some applications of these Lie superalgebras,
including their possible uses for non-relativistic supergravity and holography.
