The state’s highest court has agreed to take arguments over whether a new trial will be given to John Giuca, a Brooklyn man convicted of murdering a New Jersey college student more than a decade ago.

Court of Appeals Judge Rowan Wilson granted prosecutors leave to appeal a decision from the Appellate Division, Second Department that threw out Giuca’s conviction in February. The court usually takes about 11 months between granting leave and hearing oral arguments on a case.