Preheat the oven to 400F (200C).
Cut large squares of non-stick baking parchment paper. Add the parchment paper to a muffin pan. Use your fingers to press the baking parchment paper down as best as you can into the edges of the muffin pan.
In a mixing bowl, combine the cream cheese and granulated sugar. Beat with an electric mixer on medium speed until smooth and creamy.
Add the eggs one at a time, mixing well after each addition.
Gradually add the heavy cream while continuing to mix.
Stir in cornstarch and mix until the batter is well combined and smooth.
Add in ube extract and fold until everything is evenly distributed.
Pour the ube cheesecake batter into the muffin tin lined with parchment paper. Tap the pan on the counter a few times to remove any air bubbles.
Place the muffin tin in the preheated oven. Bake for about 35-40 minutes or until the top is deeply golden brown and the edges are set. The center may still appear slightly jiggly.
Let the cheesecake fully cool to room temperature for 1 hour. The tops will sink a bit, but this is okay.
Chill mini ube cheesecake in the refrigerator for atlas 3 hours or overnight.
Remove each cheesecake from the muffin pan and serve with the paper on.