Cook the pasta according to the packet instructions, adding the frozen peas for the last minute.
Add the olives, capers, herbs, olive oil, 4 tablespoons of starchy pasta water and grated parmesan to a blender. Blend until smooth and season with salt and pepper.
Drain the pasta and peas, reserving a mugful of the pasta water, then return them to the pan, pour over the green sauce and toss together over the heart, loosening with a splash of cooking water if needed.
Divide into 4 bowls and add more parmesan to each bowl.