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1
Beat butter and 1/4 cup plus 2 tbsp. sugar in a bowl with a mixer on medium speed until light and fluffy. Switch to low speed, then blend in almonds, then egg, then flour, extracts, and salt until just combined.
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2
Stir together cranberries, remaining 1/4 cup sugar, and 1 tbsp. water in a medium bowl. Set aside.
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3
Roll pastry on a floured work surface into a 14-in. circle, turning pastry over and dusting with flour to prevent sticking. Trim edges, then transfer to a piece of parchment paper. Spread frangipane over pastry, leaving a 3-in. border. Top frangipane with cranberries.
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4
Fold border of dough up and over cranberries, pleating dough as you go (berries will be uncovered in center). Press on pleats to seal, then transfer crostata on parchment to a rimmed baking sheet. Chill 30 minutes (otherwise pastry will ooze). Of course, mom and I have found that it will ooze no matter what you do!
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5
Preheat oven to 375u00b0. Brush crust with egg wash. Bake crostata until deep golden brown, about 45 minutes. Loosen from pan with a spatula while still hot.
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6
Make ahead: Pastry, up to 1 day, chilled. Frangipane, up to 2 days, chilled airtight; return to room temperature before using. Or bake crostata 2 days ahead; keep chilled, then rewarm at 350u00b0 for 15 minutes.