A federal judge has denied the University of Pennsylvania’s efforts to dismiss a lawsuit claiming its disciplinary proceedings have a gender bias.

U.S. District Judge John Padova of the Eastern District of Pennsylvania on Wednesday trimmed numerous claims from the lawsuit Doe v. Trustees of the University of Pennsylvania, but allowed the plaintiff to proceed on allegations that the university failed to adequately train investigators handling the disciplinary case, or provide a disciplinary process “free of gender bias or discrimination.”