Is it an online buzz and a political fallout that Barron Trump Rejected by Harvard? Rumors, Reactions, and Reality Behind His NYU Decision. Barron Trump, the youngest son of former and current U.S. President Donald Trump is back in headlines—not for his actions, but for the speculation surrounding his college admission. With Donald Trump reigniting public battles against elite institutions like Harvard, Columbia, and Stanford, rumors have swirled that Barron was rejected by these Ivy League powerhouses.