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1. In a medium saucepan, heat the half-and-half over medium heat until just simmering. Meanwhile, whisk together the egg yolks, sugar, and salt in a medium bowl until smooth. Gradually whisk in the flour until fully incorporated.
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2. Remove the half-and-half from heat. Slowly pour about ½ cup of the warm half-and-half into the yolk mixture while whisking constantly to temper the yolks. Then, return the tempered yolk mixture to the saucepan with the remaining half-and-half.
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3. Place the saucepan back on medium heat and continuously whisk until the mixture thickens slightly, about 1 minute. Then, reduce heat to medium-low and let it simmer, whisking constantly for about 8 minutes.
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4. Increase the heat to medium and vigorously whisk until bubbles burst on the surface, approximately 1 to 2 minutes. Remove from heat and whisk in the butter and vanilla until completely melted and combined.
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5. Strain the pastry cream through a fine-mesh strainer into a medium bowl. Lightly press greased parchment paper directly onto the surface to prevent a skin from forming, and refrigerate until set, between 2 to 24 hours.
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1. Preheat the oven to 325°F (165°C) and position the oven rack in the middle. Lightly grease two 9-inch round cake pans with nonstick spray and line them with parchment paper.
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2. In a separate medium bowl, whisk together the flour, baking powder, and salt. In a small saucepan, heat the milk and unsalted butter over low heat until the butter melts, then remove from heat and mix in the vanilla.
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3. In a stand mixer fitted with the whisk attachment, beat the eggs and sugar at high speed for about 5 minutes, until light and airy. Remove the bowl from the stand and whisk in the hot milk mixture until well combined. Slowly add the dry ingredients, whisking just until incorporated.
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4. Quickly divide the batter evenly between the two prepared cake pans. Bake until the tops are light brown and a toothpick inserted into the center comes out clean, about 20 to 22 minutes.
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5. Once baked, transfer the pans to a wire rack and cool completely in the pans for about 2 hours. Carefully run a small plastic knife around the edges of the pans, invert the cakes onto the rack, remove the parchment, and reinvert the cakes to cool completely.
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1. Place one cake layer on a large serving plate. Whisk the chilled pastry cream to loosen it, then spoon it onto the center of the first cake layer. Use an offset spatula to spread the cream evenly to the edges.
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2. Gently place the second cake layer, bottom side up, on top of the pastry cream. Press down lightly to level the cake and ensure it aligns properly. Refrigerate the cake while preparing the glaze.
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1. In a small saucepan, bring the heavy cream and corn syrup to a simmer over medium heat. Remove from heat and add the finely chopped bittersweet chocolate. Whisk until the mixture is smooth, then let it stand, occasionally whisking, until it thickens slightly, around 5 minutes.
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2. Pour the chocolate glaze over the center of the cake. Use an offset spatula to gently spread the glaze to the edges, allowing any excess to drip decoratively down the sides.
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3. Chill the assembled cake for at least 3 hours before slicing. The cake can be prepared up to 24 hours in advance for an even more delightful treat.