Preheat oven to 375°F and line a baking tray (with at least a 1 inch high rim) with parchment paper. Cut the parchment to fit the tray on the long sides, leaving a bit of overhang on the short sides so you can lift the cake out of the tray later.
In a large bowl, whisk together egg yolks and 50g of sugar until creamy. Whisk in the pumpkin puree, milk, and vanilla extract until it's smooth, with no lumps.
Gently whisk in the flour, cinnamon, ginger, and nutmeg until just combined. The mixture will be quite thick but don't worry! Set this aside.
In a separate medium bowl, beat the egg whites with a hand mixer or stand mixer on low speed until it becomes frothy. Turn mixer up to medium-high speed and slowly add in the remaining 100g of sugar, a third at a time, until the meringue reaches stiff peaks and is white and glossy.
Scoop out a couple dollops of the meringue and plop them into the pumpkin mixture. With a silicone spatula, fold the meringue into the batter until it becomes light and fluffy. Add in the rest of the meringue and keep folding, making sure to scoop the pumpkin batter from the bottom of the bowl. The batter should become airy and lighter in colour, with no streaks of white meringue or dark orange pumpkin left.
Pour the batter onto the baking tray and push it out into all sides and corners of the tray with an offset spatula. Smooth the top and ensure the batter is evenly distributed.
Bake for 12-14 minutes or until a toothpick inserted comes out clean. Remove cake from the oven and place on a cooling rack.
Immediately slide a knife between the cake and the baking tray to loosen. Grab both sides of the parchment and lift the cake out of the pan and set down on the counter. Starting from one short end, roll the cake (with the parchment paper) up loosely and let it cool completely (about 2 hours).