Preheat oven to 350 degrees F. Grease the bottom of a 9 inch round springform pan and line bottom with a round of parchment. Leave sides ungreased. Alternatively, you may use two 8-inch round cake pans. The baking time will be reduced to about 28 minutes if using two pans. You'll also need less pastry cream.
Weigh your flour and whisk it together with the baking powder and salt. Set aside. You can sift if you have time, but if you weigh it and whisk it you don't have to sift.
In the bowl of a stand mixer fitted with the whisk attachment, beat the eggs for about 3 minutes. Continue beating for about 7 more minutes, adding the sugar a few tablespoons at a time, very gradually.
Meanwhile. combine the butter, milk, and salt in a 3 to 3 ½ quart saucepan and heat just until mixture boils and butter is melted Add the vanilla extract and set aside.
With mixer on low speed or by hand, mix the flour/baking powder mixture into the whipped egg mixture.
Stir about 2 cups of this mixture (you can eyeball it) into the saucepan with the hot milk mixture, then add it back to the main mixing bowl and beat medium low until smooth (about 1 minute).
Pour the batter into the pan, set the pan on a rimmed baking sheet and bake for about 40 minutes (check at 35) or until cake springs back when touched. Run a knife around sides of pan to loosen and let cool for about a half hour in the pan. Remove sides of springform and let cool completely. Alternatively, you can divide the batter between two 8 inch pans and bake for about 25 to 30 minutes.
Split cake horizontally and fill with pastry cream. Put the cake in the refrigerator until you are ready to make the glaze.