Preheat the oven to 350°F (180°C).
Separate the egg whites from the yolks.
Beat the egg whites until stiff peaks form, gradually adding one-third of the sugar.
In a large mixing bowl, whisk the egg yolks with the remaining sugar, vanilla extract (or vanilla sugar), and lemon zest until slightly pale.
Sift in the flour and cornstarch, then gently mix until smooth, without overwhipping.
Add the quark in three additions, mixing gently without whisking, until smooth and well combined.
Fold in the whipped egg whites gradually, working in batches. I like to use a whisk, lifting the mixture from the bottom up to keep it light and airy. Gently tap the whisk against the side of the bowl from time to time. You can also use a spatula if you’re worried about deflating the egg whites.
Remove the pan from the freezer and pour the filling over the crust. Then gently stir with a wooden skewer to release any air bubbles, which helps prevent small holes in the filling after baking.
Bake for about 1 hour 15 minutes, or less depending on your oven. If you notice it browning too quickly toward the end, place a baking sheet on the rack above to protect the top. You can also loosely cover it with aluminum foil. The cheesecake will rise significantly, like a soufflé.
To prevent the top from cracking, after about 25 minutes of baking, gently run the tip of a knife around the edge of the cheesecake, between the filling and the crust, as shown by the gray arrow in the photo below.
At the end of baking, the cheesecake should be set and no longer jiggly. If you insert a wooden skewer into the center, it should come out clean.
Remove the pan from the oven and let the cheesecake settle until it drops back to the level of the pan. This takes about 10 minutes. Then place a round cooling rack on top and carefully invert it.
Let it rest this way for about 30 minutes, then gently remove the pan. Allow it to cool completely before turning it right side up onto a serving plate. Refrigerate for at least 2 to 3 hours. It tastes even better when fully chilled.
Serve the cheesecake dusted with powdered sugar and accompanied by a raspberry sauce.