The titular subject constitutes a proper noun phrase. Proper nouns designate specific, unique entities. In this instance, it purports to identify a particular individual holding a specified leadership position within a higher education institution. This construction suggests a claim regarding an individual named Barron Trump’s role as the president of New York University.
The significance of such a designation lies in its potential implications for both the institution and the individual named. If accurate, the appointment of the person in question to such a prominent position would represent a notable event. However, it is essential to verify the veracity of this assertion, as inaccurate information regarding leadership roles can have widespread ramifications.