Grilled Shrimp and Steamed Mussels in Coconut Broth

Name: Grilled Shrimp and Steamed Mussels in Coconut Broth
Ingredients: 1 pound large shrimp, shelled and deveined, shells reserved; 2 tablespoons extra-virgin olive oil; Finely grated zest of 1 lemon; Salt and freshly ground pepper; 3 cups water; 1/4 cup pickled ginger from a jar; 1 large onion, finely chopped; 1 fennel bulb, cored and finely chopped; 3 tablespoons unsalted butter; 4 garlic cloves, minced; 2 tablespoons minced ginger; 1 medium carrot, thinly sliced crosswise on a mandoline; 3/4 cup unsweetened coconut milk; 1/2 cup dry white wine; 1 pound mussels, scrubbed; 2 tablespoons chopped parsley