Preheat the oven to 325°F (163°C) and prepare a baking dish by placing a kitchen towel at the bottom.
In a mixing bowl, whisk together egg yolks, heavy cream, white wine, Dijon mustard, lemon zest, salt, and pepper until smooth.
Gently fold in the crab meat and chives, ensuring not to break up the crab too much.
Divide the mixture evenly among ramekins and place in the prepared baking dish. Fill the dish with hot water until it reaches halfway up the sides of the ramekins.
Bake for 25-30 minutes, or until the custards are set but still slightly jiggly in the center.
Remove the ramekins from the water bath and allow them to cool slightly. Top each with a thin layer of grated Parmesan cheese.
Using a kitchen torch, brulee the tops until the cheese is melted and golden brown.
Garnish with additional chives before serving.
Notes
This Crab Brulee is perfect as a gourmet appetizer or a sophisticated main course.