Begin by cooking the rigatoni: Bring the water to a boil in a large pot. Add the kosher salt and the rotini.
Begin by making the Kale and Basil Pesto: Add all the ingredients to the food processor, except for the oil. Pulse until everything is ground up. With the motor running, stream in the olive oil. Process until the pesto is fully combined.
Drain the rigatoni and pour it into a large bowl. Add the pesto and stir until combined. Also add in the tomatoes, parmesan and the rest of the pine nuts. Garnish the dish with the basil leaves, pine nuts and the burrata.