Preheat oven to 400 degrees. Roll out pastry to a 14-by-12 1/2-inch rectangle (1/8 inch thick). Cut out 6 rounds with a 3 3/4-inch cutter; with a 1 1/2-inch blossom-shaped cutter, cut 6 flowers from scraps. Transfer to a parchment-lined baking sheet; refrigerate.
Meanwhile, prepare an ice-water bath; set aside. Bring a medium pot of water to a boil; blanch asparagus and scallions until bright green, about 1 minute. Immediately transfer with a slotted spoon to ice-water bath to stop the cooking. Drain; set aside.
Heat oil over medium heat in a large skillet until hot but not smoking. Add onions; cook, stirring occasionally, until just tender, 2 to 3 minutes. Stir in carrots and radishes; cook 1 minute. Stir in mushrooms, ginger, garlic, and butter. Add wine and stock; cook until liquid is reduced by half, about 5 minutes. Remove from heat. Stir in reserved asparagus and scallions; season with salt and pepper.
Spoon 1/2 cup vegetable mixture into each of six 5-ounce ramekins. Lightly beat egg and cream in a small bowl; brush egg wash around rims of ramekins.
Roll out puff-pastry rounds to 4 inches in diameter. Lightly press a pastry round over each ramekin. Brush tops with egg wash. Place a puff-pastry flower on each pot pie; lightly brush with egg wash.
Bake until golden, 18 to 20 minutes.
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