Brown Butter Carrot Cake Cupcakes

Name: Brown Butter Carrot Cake Cupcakes
Prep time: 20 min
Cook time: 20 min
Total time: 40 min
Cuisine: American
Ingredients: 1/2 cup unsalted brown butter (melted); 1/2 cup granulated sugar; 1/2 cup light brown sugar; 2 large eggs (room temperature); 1 teaspoon vanilla extract; 1/4 cup full-fat plain yogurt (substitute unsweetened applesauce or sour cream); 1 1/4 cups cake flour (substitute all purpose flour); 1 teaspoon baking powder; 1/2 teaspoon baking soda; 1 1/2 teaspoons ground cinnamon; 1/2 teaspoon ground nutmeg; 1/4 teaspoon ground ginger (optional ); 1/2 teaspoon kosher salt; 1 cup grated carrots (about 2 large carrots); 1/2 cup finely chopped walnuts (optional); 1/2 cup unsalted brown butter (room temperature); 8 ounces cream cheese (room temperature); 3 1/2 cups powdered sugar; 1/2 teaspoon vanilla extract; 1-3 tablespoons heavy cream (as needed); finely chopped walnuts; sugar carrots (optional)