From https://www.thecrimson.com/article/2025/4/17/dhs-harvard/:

The Department of Homeland Security sent Harvard a letter on Wednesday threatening to revoke its eligibility to enroll international students unless it submits information on international students’ disciplinary records and protest participation.

...

The letter threatening Harvard’s authorization to host international students, which was signed by Secretary of Homeland Security Kristi Noem, accused Harvard of creating a “hostile learning environment” for Jewish students.

“It is a privilege to have foreign students attend Harvard University, not a guarantee,” the letter read.

American universities may host international students on student visas only if they have certification under the Student and Exchange Visitor Program.
The Wednesday letter calls on Harvard to provide information regarding visa holders’ “known threats to other students or university personnel,” “obstruction of the school’s learning environment,” and any disciplinary actions “taken as a result of making threats to other students or populations or participating in protests.”
Noem added that if Harvard fails to comply with the student records request by April 30, “SEVP will automatically withdraw the school's certification.”

Resolves YES iff, by the end of May (one month after Harvard's deadline), SEVP has withdrawn Harvard's certification to host international students OR the majority of current international Harvard students' visas have been revoked.

Resolves NO otherwise.

Around 25% of Harvard students are international.