Preheat oven to 375 degrees.

To prepare pesto, Place all ingredients into a food processor except olive oil. Pulse until it is a semi-thick spread then turn to high, and slowly drizzle olive oil into the paste, just until combined. Set pesto aside.

Cover fish completely with pesto on both sides. Arrange fish on an oiled baking sheet. Place in oven uncovered, turning one time, about 6 minutes on each side, then remove from oven. Turn oven up to high broil, grate fresh Parmesan cheese on top of fish, and place fish back under broiler, just until it begins to brown and crust, about 1 minute. Plate and serve.