Place frenched rack of lamb, curved side up, in a large baking dish. Score the fat about every 1/8 inch in the same direction as the bones. Cover exposed bone with aluminum foil to prevent burning.
Prepare the marinade by mixing all marinade ingredients together until well mixed.
Rub marinade over entire surface of lamb. Cover and let stand at room temperature 1 to 1 1/2 hours.
Preheat over to 400 degrees on convection bake.
Bake uncovered (keeping bones covered as above) for 25 minutes, or when lamb reaches an internal temperature of 130 degrees (medium rare). Do not overcook, as lamb will continue to cook once removed from oven, and is really best served medium rare.
Remove from oven, cover with foil and let stand 10-15 minutes. Remove foil from bones and serve.