Preheat the oven to 325°F (165°C). Place four ramekins in a deep baking dish.
In a saucepan, gently warm the heavy cream over low heat. Do not boil.
In a bowl, whisk the egg yolks until smooth. Slowly add warm cream while whisking.
Stir in salt, white pepper, lemon zest, Parmesan cheese, and chives.
Gently fold in the crab meat, keeping pieces intact.
Divide the mixture evenly among ramekins.
Pour hot water into the baking dish until it reaches halfway up the sides of the ramekins.
Bake for 30 to 35 minutes, until the custard is set but slightly jiggly in the center.
Remove ramekins from water bath and cool at room temperature.
Refrigerate for at least 2 hours.
Before serving, sprinkle sugar evenly on top and caramelize using a kitchen torch or oven broiler.
Serve immediately and enjoy your crab brulee recipe.