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1
On a large piece of lightly floured parchment paper, roll out dough to a 17-by-10-inch rectangle, about 1/8 inch thick.
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2
Trim dough to a 15-by-8-inch rectangle.
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3
Transfer to a baking sheet, and fold dough onto itself to make a 1-inch border, keeping corners square.
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4
Chill dough until firm, about 30 minutes.
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5
In a saucepan, combine wine, 1 1/2 cups water, and the sugar.
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6
Bring to a simmer, and remove from heat.
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7
Add peaches to the hot liquid; cover, and let stand until liquid cools to room temperature, 45 minutes.
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8
Meanwhile, preheat the oven to 350F.
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9
Beat the egg with 1 tablespoon heavy cream.
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10
Brush border of chilled shell with egg wash. Prick the bottom of the dough all over with a fork.
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11
Bake, rotating the sheet halfway through, until the crust is golden brown around the edges, about 20 minutes.
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12
Cool completely on a wire rack.
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13
The tart shell can be made 1 day in advance and kept, wrapped in plastic, at room temperature.
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14
Drain peaches, reserving soaking liquid.
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15
Cut the peaches diagonally into paper-thin strips.
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16
Puree the ends with 1/4 cup reserved soaking liquid in a food processor until smooth.
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17
Transfer 3 tablespoons to a medium bowl, and add goat cheese, remaining 1/4 cup cream, honey, lemon zest, thyme, and salt.
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18
Stir to combine, and spread evenly over the cooled tart shell.
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19
Arrange peach strips in a single layer on top of the goat cheese.
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20
Lightly brush the peaches with the reserved soaking liquid.
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21
Bake, rotating halfway through, until peaches just begin to lose their sheen, 10 minutes.
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22
Cool on a wire rack.
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23
Galette can be kept in the refrigerator, covered with plastic wrap, for up to 1 day.
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24
Garnish with thyme leaves just before serving.