Preheat the oven to 350ºF (177ºC). Lightly grease the sides of a 10x15 jelly roll pan and line the bottom with parchment paper. In a medium bowl, sift together the flour, cocoa powder, baking powder, and salt. Set aside.
Separate the eggs (if you haven't already) and make sure they are room temperature before moving on. Place the yolks in a large mixing bowl and add 1/3 Cup (66g) of the sugar. Whisk together vigorously by hand for 1-2 minutes, until pale and very well combined. Add the vanilla and espresso powder (if using) and whisk until combined, then whisk in the vegetable oil and whole milk. The mixture will be pale and a little bubbly on top. Add the dry ingredients you previously sifted together. Whisk until incorporated and the mixture resembles brownie batter. Set aside.
In the bowl of your stand mixer fitted with the paddle attachment (or with a hand mixer and large bowl), add the egg whites and the remaining 1/3 Cup (66g) of granulated sugar. Mix on low speed until combined, then turn the mixer to medium-high speed and beat until it becomes a meringue with glossy stiff peaks (see blog post images above). This can take anywhere from 2-5 minutes or more depending on the temperature of your kitchen and speed of your mixer, so watch closely. The meringue on your whisk attachment should hold its peak when standing upright.
Using a rubber spatula, gently fold half of the egg white meringue into the chocolate mixture to lighten the batter, then fold in the rest until there are no streaks of meringue.
Pour the batter into your prepared pan and smooth it down evenly with an angled spatula. Bake for 11-14 minutes while you generously dust a tea towel with cocoa powder or powdered sugar in preparation for the baked cake. When the cake is done, the surface will look matte and the cake will spring back when lightly touched. I usually take mine out around the 12 minute mark.
Immediately after the cake is finished baking, run a knife around the edges of the pan to release the sides, then quickly invert the cake onto your cocoa dusted tea towel. I promise it's less scary than it sounds! Remove the pan and gently peel away the parchment paper backing from the cake, then dust with more cocoa powder (or powdered sugar). Then, starting with the shorter end, gently but tightly roll the cake up in the tea towel. Transfer the rolled cake onto a cooling rack with the seam facing down and allow to cool fully for at least 2 hours.