Utah prosecutors have charged Robinson with aggravated murder and plan to seek the death penalty.
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An attorney for the man charged with killing the conservative activist Charlie Kirk asked a judge on Monday for more time to review the large amount of evidence in the case before deciding if the defence will seek a preliminary hearing.
A preliminary hearing would determine if there is enough evidence against 22-year-old Tyler Robinson to go forward with a trial.
Defendants can waive that step but Robinson's newly appointed attorney Kathryn Nester said her team did not intend to do so.
Utah prosecutors have charged Robinson with aggravated murder and plan to seek the death penalty.
Both the defence and prosecution acknowledged at a brief hearing on Monday that the amount of evidence prosecutors have is "voluminous."
Robinson was not present for the hearing and appeared via audio from jail at his defence team’s request.
Judge Tony Graf set the next hearing for 30 October.
Defence attorneys for Robinson and prosecutors with the Utah County Attorney's Office declined to comment after Monday's hearing.
Kirk assassination
It took place in Provo, just a few miles from the Utah Valley University campus in Orem where Kirk was shot and killed on 10 September during a debate with students.
Authorities arrested Robinson when he showed up with his parents at his hometown sheriff's office in southwest Utah, more than a three-hour drive from the site of the shooting, to turn himself in.
Prosecutors have since revealed incriminating text messages and DNA evidence that they say connect Robinson to the killing.
A note that Robinson left for his romantic partner before the shooting said he had the opportunity to kill one of the nation’s leading conservative voices, "and I'm going to take it," Utah County Attorney Jeff Gray told reporters before the first hearing.
Gray also said Robinson wrote in a text about Kirk to his partner: "I had enough of his hatred."
The assassination of Kirk, a close ally of President Donald Trump who worked to steer young voters towards conservatism, has galvanized Republicans who have vowed to carry on Kirk's mission of moving American politics further right.
Trump has declared Kirk a "martyr" for freedom and threatened to crack down on what he called the "radical left."
Workers across the US have been punished or fired for speaking out about Kirk after his death, including teachers, public and private employees and media personalities, most notably Jimmy Kimmel, whose late-night show was suspended then reinstated by ABC.
Kirk's political organisation, Arizona-based Turning Point USA, brought young, evangelical Christians into politics through his podcast, social media and campus events.