Ingredients

1 cup all-purpose flour, plus extra if dough gets sticky 

Pinch of salt 

1/4 cup milk 

1 cup plus 4 teaspoons granulated sugar 

1/4 ounce instant yeast 

2 large eggs 

3 tablespoons unsalted butter, melted, plus extra to coat molds 

4 teaspoons large crystal sugar 

6 tablespoons rum 

1 one-inch piece fresh ginger, peeled, cut into four pieces 

Preparation

Sift flour and salt into large bowl. In smaller bowl, combine warmed milk (110 degrees), 4 teaspoons granulated sugar, and yeast. Let sit 5 minutes until foamy; stir. With wooden spoon, combine yeast mixture into flour. Add 1 egg, lightly beaten, and butter. Stir 5 minutes; dough will still be sticky. Cover; set in warm place 45 minutes, until doubled.

Meanwhile, heat oven to 425 degrees. Beat dough with wooden spoon to remove air bubbles, adding 1 to 2 tablespoons flour if needed. Turn out dough onto lightly floured board. Form into 1-inch balls with lightly floured hands. Place dough in well-buttered 1-inch-by-2-inch molds. Cover, and let proof 10 minutes. Whisk remaining egg with 1 tablespoon water. Brush the baba au rhum with the egg glaze, and sprinkle with sugar crystals. Bake about 10 minutes, until golden.

Meanwhile combine remaining 1 cup granulated sugar, 3/4 cup water, rum, and ginger in small saucepan. Stir over medium heat until sugar dissolves, about 3 minutes. Cook 5 minutes more. Set aside to steep. When baba are golden brown, remove from oven. Strain syrup into a large bowl. Turn baba out of pan and into syrup to soak. May be made up to this point 3 to 4 hours ahead. Serve baba in syrup at room temperature.