What Happens to Harvard if Trump Successfully Bars Its International Students? NYT | Top Stories By: Sarah Mervosh and Michael S. Schmidt 11 June 2025 at 23:06 If President Trump makes good on all his threats, Harvard may lose much of its influence and prestige. It could also become even harder to afford. © Sophie Park for The New York TimesThe Trump administration has sought to bar international students at Harvard. Without them, Harvard said, it would no longer be the same university as it is today.