Preheat oven with pizza stone inside to 500°F/260°C Convection. You’ll want your stone really hot before the pizza dough touches it.
If using large shrimp, cut them into smaller bite size pieces. Heat skillet on med/high. Add 1/2 tablespoon to the pan and cook shrimp for about 30 seconds and set aside.
Roll dough out onto floured surface (with rolling pin or by hand) to about 1/8 inch/3.17mm thick and about 10 inches/25.4cm.
Spread dough with pesto, top with cheese then the shrimp. Slide onto pizza stone (see note) and bake for 4-5 minutes. Top with Parmigiano Reggiano cheese, red pepper flakes and arugula.