INDIANAPOLIS — The Indiana Supreme Court will hear arguments in the appeal of a man sentenced to death for setting a fire that killed his fiancee’s two children.

A Clark County jury convicted 41-year-old Jeffrey Weisheit on murder and arson charges in 2013 for the 2010 deaths of 5-year-old Caleb Lynch and 8-year-old Alyssa Lynch at the family’s home near Evansville.

The Supreme Court is to take up his appeal on Sept. 7. Weisheit is arguing he wasn’t adequately represented by his defense attorneys during his trial.

Weisheit admitted during the trial that he stuffed a dish towel into Caleb’s mouth and used duct tape to pin back the boy’s arms before leaving the children alone about 1 a.m. while their mother was at work, but he denied setting the fire.