Methods of forming a silicon carbide semiconductor device are disclosed. The methods include forming a semiconductor device at a first surface of a silicon carbide substrate having a first thickness, and mounting a carrier substrate to the first surface of the silicon carbide substrate. The carrier substrate provides mechanical support to the silicon carbide substrate. The methods further include thinning the silicon carbide substrate to a thickness less the first thickness, forming a metal layer on the thinned silicon carbide substrate opposite the first surface of the silicon carbide substrate, and locally annealing the metal layer to form an ohmic contact on the thinned silicon carbide substrate opposite the first surface of the silicon carbide substrate. The silicon carbide substrate is singulated to provide a singulated semiconductor device.