Preheat your oven to 425°F. Line a 9-inch springform pan with two overlapping sheets of parchment paper, pressing them into the corners and up the sides. The parchment should extend a couple inches above the rim of the pan.
In a large bowl, beat the cream cheese with an electric mixer on medium speed until completely smooth, about 2 minutes. Scrape down the sides of the bowl as needed to eliminate any lumps.
Add the granulated sugar and salt, and beat on medium until fully combined, about 1 minute. Add the eggs one at a time, beating well after each addition until smooth before adding the next.
Pour in the heavy cream and vanilla extract, and mix on low speed until just combined. Sift the cornstarch over the batter and gently fold it in with a spatula until no streaks remain. The batter will be very liquid and pourable, which is exactly what you want.
Pour the batter into the prepared pan. Bake for 55 to 65 minutes, until the top is deeply golden brown and the center still has a generous jiggle when you gently shake the pan.
Let the cheesecake cool completely in the pan on a wire rack. The center will sink slightly as it cools, which is normal. Refrigerate for at least 4 hours or overnight before carefully peeling away the parchment, slicing, and serving.