The valleys on the teeth should include a generous radius to reduce stresses and surface cracking due to repetitive stress/stain. Surface cracks are notorious for forming in sharp corners and will easily propagate.
Also, don't loan tools to girls.
The cutting edges of the teeth should be hard, the body probably should be softer to allow some strain without fracture.
Your professors should be able to figure this out, but they probably want you to do so on your own.
With that said, unless you require stainless steel for the application then other steels are probably better suited.
What are the design requirements?