The White House said Sunday that President Joe Biden respects the right of demonstrators to make their voices heard -- peacefully -- and "we don't want to see anybody hurt in the process."

"The president knows that there are very strong feelings about the war in Gaza. He understands that, he respects that, and as he has said many times, we certainly respect the right of peaceful protest. People should have the ability to air their views and to share their perspectives publicly, but it has to be peaceful," White House national security spokesman John Kirby told ABC News "This Week" anchor George Stephanopoulos on Sunday.

Kirby did warn that some language heard during the demonstrations crossed a line with the administration.

"We absolutely condemn the antisemitism language that we've heard of late, and we certainly condemn all the hate speech and the threats of violence out there. These protests, we understand they're important, but they do need to be peaceful," he said.

"We'll leave it to local authorities to determine how these protests are managed," Kirby told Stephanopoulos, "but we want them to be peaceful protests and obviously we don't want to see anybody hurt in the process of peacefully protesting."

-ABC News' Tal Axelrod

The University of Southern California closed its main campus Saturday evening "due to a disturbance," the university said on X.

Los Angeles Police Department issued a citywide tactical alert due to a protest on USC's campus, urging people to avoid the area.

A tactical alert allows LAPD to keep officers on past their shifts and to move officers between divisions if they need extra staffing in one area of the city.

New York City Mayor Eric Adams urged protesters at Columbia University to "walk away" after dozens of demonstrators stormed the campus' Hamilton Hall in what he called a "violent spectacle that serves no purpose."

Adams said the peaceful demonstrations were being co-opted by "professional outside agitators" seeking to "create discord and divisiveness."

"That is why I'm urging every student, every protester to walk away from this situation now. Continue your advocacy through other means," Adams said at a press briefing Tuesday evening. "We will always protect the right to protest, but we must balance that right with the right to keep students in school and our city safe."

"We cannot wait till this situation becomes even more serious. This must end now," he added.

Chief Edward Caban reiterated that protesters who are not Columbia students are working to escalate the situation and said the New York City Police Department is ready to assist the university as needed.

"We have seen the tactics changing in a way that's endangering public safety," he said.

The NYPD showed footage of what Deputy Commissioner for Intel Rebecca Weiner said showed outside actors making barriers inside Hamilton Hall and "escalating" tactics such as scaling buildings and breaking windows. Cameras in the building have also been destroyed, Weiner said.

Individuals who occupied Hamilton Hall could face charges including burglary in the third degree, trespass and criminal mischief, police said.

A Columbia University spokesperson said Tuesday evening that dozens of protesters were in Hamilton Hall.