01 - Preheat oven to 400°F.
02 - Pat the lamb rack dry with paper towels and season generously with salt and pepper on all sides.
03 - Heat 1 tablespoon olive oil in a heavy, oven-safe skillet over medium-high heat. Sear the lamb rack for 2-3 minutes on each side until well browned. Remove from heat and set aside briefly.
04 - In a mixing bowl, combine parsley, rosemary, thyme, garlic, breadcrumbs, Parmesan cheese (if using), and 2 tablespoons olive oil. Mix thoroughly to form a moist, cohesive crumb mixture.
05 - Brush the seared lamb rack with Dijon mustard on the meat side. Press the herb mixture evenly onto the mustard-coated surface, pressing firmly to adhere the crust.
06 - Place the lamb rack back in the skillet or transfer to a baking sheet, herb-crust side up. Roast in the preheated oven for 15-18 minutes for medium-rare (internal temperature 130-135°F), adjusting time to your preferred doneness.
07 - Remove from oven and tent loosely with aluminum foil. Let rest for 10 minutes to allow juices to redistribute.
08 - Slice the rested rack into individual chops between the bones. Serve immediately while hot.