Step 1: Preheat your oven to 375°F. Prepare a 15 x 10-inch jelly roll pan by spraying with cooking spray, lining with parchment paper, and spraying the paper again.
Step 2: In a small bowl, whisk together the flour, cornstarch, cocoa powder, baking powder, and salt. Set aside.
Step 3: Separate the eggs, placing whites in one large mixing bowl and yolks in another. Beat the egg whites on medium-high speed until they become foamy. Gradually add 1/2 cup of sugar while continuing to beat. Increase speed to high and beat until stiff peaks form. The peaks should stand straight up when you lift the beaters.
Step 4: In the second bowl, beat the egg yolks with the remaining 1/4 cup sugar and vanilla extract until the mixture becomes thick and pale yellow, about 3 minutes.
Step 5: On low speed, mix the flour mixture into the yolk mixture until just combined. Stir in one-quarter of the beaten egg whites to lighten the batter, then gently fold in the remaining whites using a rubber spatula. Be careful not to deflate the mixture.
Step 6: Spread the batter evenly into the prepared pan, smoothing the top with an offset spatula. Bake for 12 to 14 minutes, or until the top springs back when lightly pressed.
Step 7: Let the cake cool in the pan for 2 minutes. Meanwhile, dust a clean kitchen towel generously with powdered sugar. Loosen the edges of the cake with a knife, then invert it onto the prepared towel. Carefully peel off the parchment paper.
Step 8: Starting from a short end, roll the cake up in the towel. Place seam-side down on a wire rack and let cool completely, about 30 minutes.