White House Press Secretary Karine Jean-Pierre addressed on Wednesday the ongoing student protests taking place at Columbia University and other colleges across the country.

During the daily press briefing, Jean-Pierre reiterated the administration's condemnation of antisemitism.

"When we see violent rhetoric, we have to call that out. When we see physical intimidation or grotesque antisemitic remarks, we have to speak that out," she told reporters.

When asked whether the administration shares the view of House Speaker Mike Johnson, who called on the president of Columbia University to resign, Jean-Pierre declined to comment saying, “Columbia is a private institution."

"That is obviously the speaker’s privilege to speak for himself and what he sees," she said.

"This is a deeply painful, painful moment for many communities, and we understand that. But the president believes that free speech debate and nondiscrimination on college campuses are important. They're important American values," Jean-Pierre said.

-ABC News' Juhi Doshi

The University of Southern California said it will be closing its campus to the public with "significant activity at the center of the [main] campus due to a demonstration," it said in a post on X.

"The gates are closed, so anyone coming to campus should be prepared to show an ID at the gates for class or for business," USC said.

A rally by pro-Palestinian protesters at USC became chaotic after campus police confronted people who tried to set up an encampment at the school's Alumni Park, according to Los Angeles ABC station KABC. The university's commencement ceremony is scheduled to occur in Alumni Park on May 10.

Last week, USC canceled the valedictorian's speech out of safety concerns considering her pro-Palestinian views, sparking backlash. The student, Asna Tabassum, is a first-generation South Asian-American Muslim who majored in biomedical engineering and minored in resistance to genocide, according to a statement published through the Greater Los Angeles Area office of the Council on American-Islamic Relations.

Dozens of students and others have issued a list of demands, including the university's divestment, similar to demands from students on other campuses, according to KABC.

USC police officers began attempting to clear the encampment of tents and signs before Los Angeles Police Department officers joined the effort, according to KABC

Pro-Palestinian students at Harvard University began an encampment in Harvard Yard on Wednesday, despite the university closing it through Friday.

The encampment comes after Harvard suspended the Harvard Palestine Solidarity Committee -- an on-campus group that has been under a spotlight -- amid debates on campuses over the war. The ACLU of Massachusetts, which represents the group, has called for the university to lift the suspension.

Students and student workers released a statement Wednesday announcing their encampment, calling for the university to divest and accusing it of "relentlessly suppress[ing] voices in its community speaking out against the actions of the Israeli state and for the rights of the Palestinian people," the suspended group said in a statement on Instagram.

The group is also demanding that the university "drop all its charges against students for their organizing and activism, and commit to ending the weaponization of disciplinary policy," the statement said.

-ABC News' Nadine El-Bawab

At least 20 people have been arrested at the University of Texas at Austin, according to the school.

“UT Austin does not tolerate disruptions of campus activities or operations like we have seen at other campuses," the UT Division of Student Affairs said in a statement. "This is an important time in our semester with students finishing classes and studying for finals and we will act first and foremost to allow those critical functions to proceed without interruption."

The University of Texas at Austin's Office of the Dean of Students sent a letter to the Palestine Solidarity Committee Tuesday night saying the protest was not allowed to take place.

"The Palestine Solidarity Committee student organization's event 'Popular University for Gaza,' which is planned for tomorrow, has declared intent to violate our policies and rules, and disrupt our campus operations. Such disruptions are never allowed and are especially damaging while our students prepare for the end of the semester and final exams. For these reasons, this event may not proceed as planned," the letter, obtained by ABC News, stated.