When looking for synonyms for the phrase "study at premium," a few options come to mind. First, there is "pursue higher education," which conveys the idea of taking courses at a higher level than what is typically offered. Another option is "attend elite institutions," which emphasizes the prestige and exclusivity of top-ranked universities. Finally, one could use "enroll in top-notch programs," which implies that the courses or degree programs being pursued are of the highest quality and rigor. Whatever the chosen synonym, the underlying message is one of dedication to education and a commitment to achieving excellence in one's field of study.