Antonyms for the phrase "keeps abreast of" include neglect, ignore, disregard, overlook, dismiss, unheedful, unobservant, inattentive, and ignorant. Neglect denotes a lack of attention or care for something. To ignore is to intentionally not acknowledge or consider something. Disregard implies a conscious refusal to pay attention to something. Overlook means to fail to notice or consider something. Dismiss indicates a choice to reject or refuse something. Unheedful and unobservant suggest a general lack of attention or awareness. Inattentive implies a lack of focus or concentration, while ignorant suggests a lack of knowledge or information.