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1
Bring milk to a simmer in a 1-quart heavy saucepan, then remove from heat and stir in sugar and salt.
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2
Pour into a large bowl and let cool slightly.
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3
While milk is cooling, dissolve yeast in warm water in a small bowl, stirring.
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4
Let stand for 5 minutes.
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5
Stir the yeast mixture into the milk, along with 2 tablespoons oil, eggs, and zest.
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6
Stir in 2 1/2 cups flour with a wooden spoon to make a very soft dough.
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7
Spread 1 cup flour on work surface and put dough on top, scraping it from bowl with a rubber spatula.
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8
Knead dough, incorporating all of flour from work surface and adding just enough additional flour (if necessary), about 5 minutes; dough should be slightly sticky.
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9
Transfer dough to an oiled large bowl and sprinkle lightly with additional flour.
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10
Cover bowl with a clean kitchen towel and let dough rise in a warm draft-free place until doubled in bulk, about 1 1/2 hours.
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11
Turn out dough onto a floured surface and roll out with a floured rolling pin until 1-inch thick.
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12
Cut out rounds with a 2-inch cutter.
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13
Place on a sheet pan and cover doughnuts with another kitchen towel and let rise in a warm place for 30 minutes.
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14
While doughnuts rise, heat oil in a deep 4-quart pot until it registers 365 degrees F on a thermometer.
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15
Fry doughnuts 2 at a time, turning once or twice, until puffed and golden brown, about 2 to 3 minutes per batch.
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16
Transfer to paper towels to drain.
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17
Place jam in a pastry bag fitted with a 1-inch plain tip and poke the tip into the center of each doughnut (entering from the side) and squeeze in some of the jam.
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18
Ice the top with some of the ganache and sprinkle with hazelnuts.
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19
Bring cream to a simmer in a small saucepan.
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20
Place white chocolate in a large bowl, pour hot cream over, and let sit for 1 minute; whisk until smooth.
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21
Let cool until slightly thickened