Make the cake: Heat the oven to 350 degrees F. Line a 12-cup muffin tin with
paper or foil liners.
In a medium bowl, whisk the flour with the cornstarch, baking powder and salt.
In a large bowl, using a handheld electric mixer, beat the sugar with the eggs
and vanilla extract at medium-high speed until smooth and thickened slightly, about
Add the butter and oil and beat until incorporated, scraping the bottom
and side of the bowl.
Add the dry ingredients and milk in 3 alternating batches,
beating well between additions.
Carefully pour the batter into the lined muffin
tins, filling them about two-thirds full.
Bake the cupcakes in the center of the oven for 20 to 23 minutes, until springy
and a wooden pick or cake tester inserted in the center comes out clean.
cupcakes cool slightly in the muffin tin, then transfer them to a wire rack to cool
Meanwhile, make the frosting: In a medium bowl, using a handheld electric mixer,
beat the softened butter at medium speed until smooth.
Add the confectioners’ sugar,
vanilla extract and salt and beat the mixture at low speed just until combined. Increase the mixer speed to medium and beat until smooth.
Add the milk or heavy
cream and beat until light and fluffy, about 2 minutes.
Mix the frosting with strawberry jam to taste. Spread the frosting on the cooled
cupcakes and serve.
Make Ahead: The unfrosted cupcakes can be wrapped in plastic and stored at room
temperature for up to 2 days or frozen for up to 1 month. The white buttercream
frosting can be refrigerated in an airtight plastic container for up to 2 days.
Return to room temperature before using.