It is one of the four pairs of deep cerebellar nuclei, which are from lateral to medial: the dentate, emboliform, globose and fastigial.
[1] Emboliform, from Ancient Greek, means "shaped like a plug or wedge".
[1] The emboliform participates in the spinocerebellum, a system that regulates the precision of limb movements.
[2] Axons leaving the emboliform exit through the superior cerebellar peduncle and reach the red nucleus in the midbrain and several thalamic nuclei which project into areas of the cerebral cortex that control limb movement.
[3][2] This article incorporates text in the public domain from page 796 of the 20th edition of Gray's Anatomy (1918)