  In this work we consider a stochastic evolution equation which describes the
system governing the nematic liquid crystals driven by a pure jump noise. The
existence of a martingale solution is proved for both 2D and 3D cases. The
construction of the solution is based on the classical Faedo-Galerkin
approximation, compactness method and the Jakubowski's version of the Skorokhod
representation theorem for non-metric spaces. We prove the solution is pathwise
unique and further establish the existence of a strong solution in the 2D case.
