The Ohio Supreme Court is hearing the appeal of a Cleveland man who killed 11 women and hid the remains in and around his home.
Attorneys for Anthony Sowell say he deserves a new trial because a judge wrongly closed a portion of jury selection and a hearing where attorneys argued about his police interrogation.
They also say he deserves a new trial or new sentencing hearing because Sowell's original lawyers wrongly wasted time by arguing there was reasonable doubt about Sowell's guilt in the face of overwhelming evidence against him.
The court plans to hear from both sides Tuesday with a decision expected in several months.
Prosecutors say Sowell received a fair trial and his conviction and death sentence should stand.