In a large pot whisk together the coconut milk, lime juice, curry powder and ginger. Slowly bring to a low boil over low heat. Simmer for until slightly reduced and thickened, about 7 to 10 minutes. Taste for seasoning and add salt and or pepper, if needed. Add the shrimp and simmer, covered, until the shrimp are fully cooked, about 12 to 15 minutes. Transfer the curry to a serving bowl and serve with lime wedges.
Recipe courtesy of Claire Robinson, 2010