Preheat the oven to 350°F if it’s not already preheated.
Boil enough water to go up about 1 ½ inches on the sides of the springform pan.
In a stand mixer, beat the cream cheese, sugar, and cornstarch on medium speed until smooth (1-2 minutes).
Add the sour cream, vanilla, cinnamon, nutmeg, and allspice, and mix on medium-low speed until combined.
Add the eggs and egg yolks, mixing on medium-low speed until just combined.
Pour the batter into the prepared crust.
Place the cheesecake in a large roasting pan and carefully pour the boiling water around the cheesecake.
Bake for 1 hour, then turn off the oven and crack the door open. Let the cheesecake sit in the oven for another hour.
Remove the cheesecake and run a butter knife around the edges to loosen it. Let it cool completely on the counter, then cover and refrigerate for at least 8 hours or overnight.