In a food processor, combine carrot tops, walnuts, and garlic. Pulse until finely chopped.
Add the grated parmesan cheese and pulse again until the mixture is well blended.
While the food processor is running, gradually stream in the olive oil until the pesto reaches your desired consistency.
Season with salt and pepper to taste, then pulse one more time to combine.
Transfer the pesto to a jar and store it in the refrigerator. Serve with pasta, spread on sandwiches, or as a dip.
Notes
For a nuttier flavor, you can substitute walnuts for pine nuts.Feel free to add a splash of lemon juice for added brightness.This pesto can be stored in an airtight container for up to a week in the refrigerator.