Preheat the oven's broiler, and set the oven rack about 6 inches from the heat source.
Heat the oil in a large, oven-proof skillet over medium heat; add the garlic, and cook until lightly browned, about 1 minute. Stir in the shrimp and the tomatoes. Cook just until the shrimp turn pink, 3 to 5 minutes. Pour in wine; simmer for 2 additional minutes.
Top shrimp with mozzarella cheese, and broil until the cheese is melted and golden. Sprinkle with Parmesan cheese and dried parsley before serving.
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