NEW YORK — Mahmoud Khalil will remain detained in Louisiana until at least next week following an initial court hearing in New York on Wednesday over the Trump administration’s plans to deport the Columbia University graduate student for his role in campus protests against Israel.

The brief hearing, which focused on thorny jurisdictional issues, drew hundreds of demonstrators to the federal courthouse in lower Manhattan to denounce the Saturday arrest of Khalil, a permanent U.S. resident who is married to an American citizen. Khalil, 30, didn’t attend — after initially being held in New Jersey, he was moved to an immigration detention center in Louisiana.

After Khalil’s Manhattan arrest, Judge Jesse Furman ordered that he not be deported while the court considers a legal challenge brought by his lawyers, who want Khalil returned to New York and released under supervision.

During Wednesday’s hearing, attorney Brandon Waterman argued on behalf of the Justice Department that the venue for the deportation fight should be moved from New York City to Louisiana or New Jersey because those are the locations where Khalil has been held.

One of Khalil’s lawyers, Ramzi Kassem, told the judge that Khalil was “identified, targeted and detained” because of his advocacy for Palestinian rights and his protected speech. He said Khalil has no criminal convictions, but “for some reason, is being detained.”

Kassem also told Furman that Khalil’s legal team hasn’t been able to have a single attorney-client-protected phone call with him.

Furman ordered that the lawyers be allowed to speak with him by phone at least once on Wednesday and Thursday. Calling the legal issues “important and weighty,” the judge also directed the two sides to submit a joint letter on Friday describing when they propose to submit written arguments over the legal issues raised by Khalil’s detention.

President Donald Trump heralded Khalil’s arrest as the first “of many to come.”

Secretary of State Marco Rubio told reporters that Khalil’s case is “not about free speech.”

“This is about people that don’t have a right to be in the United States to begin with. No one has a right to a student visa. No one has a right to a green card,” Rubio said.

Khalil hasn’t been charged with a crime.