Preheat the Oven:
Set your oven to 325°F (163°C).
Prepare a water bath by placing ramekins in a baking dish with hot water halfway up the sides.
Prepare the Custard:
In a saucepan, warm the heavy cream over low heat until it just begins to steam.
In a bowl, whisk together egg yolks, Dijon mustard, Old Bay seasoning, cayenne, salt, and black pepper.
Slowly pour the warm cream into the egg mixture, whisking constantly to prevent curdling.
Add Crab Meat:
Gently fold in the lump crab meat and grated Parmesan cheese.
Bake the Brûlée:
Divide the mixture into 4 ramekins.
Place in the prepared water bath and bake for 30 minutes, or until the custard is set but slightly jiggly in the center.
Caramelize the Sugar Topping:
Let the brûlées cool for 10 minutes.
Sprinkle granulated sugar evenly over each custard.
Use a kitchen torch to caramelize the sugar until golden brown (or broil for 1-2 minutes).
Garnish & Serve:
Let sit for 5 minutes before serving.
Garnish with chopped chives and serve warm with crusty bread or crackers.