Preheat the oven to 220C (425F) and line an 8-inch (20cm) springform pan with parchment paper so the bottom and the sides are completely covered.
In a bowl, add the sugar, cornstarch and matcha powder. Mix well.
In a large mixing bowl, add the cream cheese and the sugar mixture. Beat with a hand mixer on low until well combined.
Then, add the eggs, lemon juice and vanilla and beat on low until fully incorporated.
Pour in the heavy cream and beat once again to incorporate.
Pour the mixture into the prepared pan, tap it several times on a flat surface to remove large air bubbles, and bake for about 40 minutes or until the cheesecake is jiggly in the center and the top is dark brown. The cheesecake will rise and a few cracks may appear during baking.
Let the cheesecake cool down to room temperature in the pan. Then place the cheesecake into the fridge to cool down further for 2 hours if you want a softer texture or 6 hours if you want a firmer, closer to a classic cheesecake texture.
Remove from the pan onto a serving plate and serve.