State Department investigating Harvard's ability to sponsor exchange visas

Driving the news: "Visa sponsorship is a privilege, and sponsors whose conduct tarnishes our nation's interests will lose that privilege," Rubio said.

What they're saying: Harvard spokesperson Jason Newton called the investigation "yet another retaliatory step taken by the Administration in violation of Harvard's First Amendment rights" in an emailed statement.

• "Harvard continues to enroll and sponsor international scholars, researchers, and students, and will protect its international community and support them as they apply for U.S. visas and travel to campus this fall."

Catch up quick: Trump suspended the entry of international students to attend Harvard through an executive order, which the university has been fighting in court.

Zoom out: The Trump administration has engaged in a pressure campaign against the Ivy League institution.

• The Department of Education this month threatened Harvard's accreditation while the Department of Homeland Security sent the school a subpoena for information on its international students.

Go deeper: Trump administration renews pressure on Harvard over foreign students, accreditation

Editor's note: This is a breaking news story. Please check back for updates.