01 - Preheat the oven to 400°F (200°C).
02 - Pat the rack of lamb dry with paper towels. Score the fat in a crosshatch pattern, being careful not to cut into the meat.
03 - In a small bowl, mix olive oil, rosemary, thyme, parsley, garlic, Dijon mustard, salt, and black pepper to form a paste.
04 - Rub the herb mixture all over the lamb, coating evenly.
05 - Place the rack, fat side up, on a roasting rack set in a roasting pan.
06 - Roast for 20–25 minutes for medium-rare (internal temperature 130–135°F / 54–57°C), or adjust time for desired doneness.
07 - Remove lamb from oven, tent loosely with foil, and let rest for 10 minutes.
08 - Slice between the bones into individual chops. Sprinkle with flaky sea salt and serve with lemon wedges if desired.