What's the noun for academies? Here's the word you're looking for.
academy
(capitalized) The garden where Plato taught. [First attested around 1350 to 1470.]
(capitalized) Plato's philosophical system based on skepticism; Plato's followers. [First attested in the mid 16th century.]
An institution for the study of higher learning; a college or a university; typically a private school. [First attested in the mid 16th century.]
A school or place of training in which some special art is taught. [First attested in the late 16th century.]
A society of learned people united for the advancement of the arts and sciences, and literature, or some particular art or science. [First attested in the early 17th century.]
(obsolete) The knowledge disseminated in an Academy. [Attested from the early 17th century until the mid 18th century.]
(with the, without reference to any specific academy)Academia.
“Likewise, Harry Potter presents its readers with a secret academy of wizards who impart gnosis to a select few.”
“Membership of the academy confers instant celebrity status, with academicians appearing on television chat shows and in popular magazines.”
“I think a lot of videos are good but video as a medium is now an academy, and artists, anyone creative, have got to resist academism.”
academic
(capitalized) A follower of Plato, a Platonist. [First attested in the mid 16th century.]
A senior member of an academy, college, or university; a person who attends an academy; a person engaged in scholarly pursuits; one who is academic in practice. [First attested in the late 16th century.]
A member of the Academy; an academician. [First attested in the mid 18th century.]
“He was an academic, kind of an unemployable poet who might lecture once or twice at the local community college.”
“Cardano was a well-known mathematician, physician, astrologer, sorcerer, and academic who taught at the university of Pavia.”
academicism
(capitalized) The doctrines of Plato's academy; specifically the skeptical doctrines of the later academy stating that nothing can be known; a tenet of the Academic philosophy; state of being Academic. [First attested in the early 17th century.]
(now chiefly US) A member (especially a senior one) of the faculty at a college or university; an academic. [from 17th c.]
A member or follower of an academy, or society for promoting science, art, or literature, such as the French Academy, or the Royal Academy of Arts. [from 17th c.]
“Neuvo had a distinguished career as an academian at The Academy of Finland where he was the national research professor for eight years.”
“As a leading scientist in plant molecular genetics, Li has been selected as academian of the Chinese Academy of Sciences and fellow of the Third World Academy of Sciences.”
“As a leading scientist in plant molecular genetics, he has been selected as academian of the Chinese Academy of Sciences and fellow of the Third World Academy of Sciences.”
academia
The scientific and cultural community engaged in higher education and research, taken as a whole.
“Holme Valley Academicals are through to the Gee Cup final after a 5-4 penalty shoot-out victory against New Mill last night.”
“Cardiff Academicals fought bravely at Nelson but a Mark Trampelli goal was enough to give Nelson their second win and move them up to fifth place.”
“Cardiff Academicals secured their first win of the season defeating AFC Rumney 3-0 and the game between Whitchurch Blues and Canton ended in a 2-2 draw.”
academism
Alternative form of academicism [First attested in the mid 18th century.]
