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In the bowl of a stand mixer, or in a large bowl using an electric hand mixer, beat the cheesecake and sugar until creamy and smooth. Scrape down the sides and bottom well to make sure you don't leave any lumps behind.
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Add the peanut butter, cornstarch, salt, and vanilla extract. Mix on medium sped until well combined. Scraping down the sides and bottom again will help you avoid lumps.
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Fold or manually whisk in the eggs, one at the time. It is very important not to over mix at this point. The eggs should be just incorporated.
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Cut 2 pieces of foil that are at least 12" long, lay out in a cross shape. Place the pan in the center of the cross and fold up the foil, creating a tight fit around the pan.
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Place the pan in a 9 x 13 pan.
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Pour the cheesecake batter over the cooled brownie layer. Pour hot water (hot tap water works), around the cheesecake so that it is halfway up the sides of the spring form pan.
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Bake for 60-70 minutes, until the cheesecake is set but still slightly jiggly in the middle when you gently shake it.
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Turn off the oven and leave the door ajar, let the cheesecake cool for 15-30 minutes, while still in the oven.
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Remove the cheesecake from the oven and water bath, let cool to room temperature completely. This can take up to 4 hours, depending on ambient room temperature.
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Carefully remove the cheesecake from the pan by running your knife along the sides. Open the spring and carefully pulling the open form up, away from the cheesecake.
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Place the cheesecake on a plate and loosely cover with plastic wrap. Refrigerate at least 8 hours, or over night.