Preheat oven to 325°F (165°C) and lightly grease a small ramekin or 4-inch springform pan.
Combine almond flour and oat flour in a small bowl, adding a teaspoon of water if needed to create a pressable dough.
Press the flour mixture firmly into the bottom of the prepared pan to form an even crust.
In a separate bowl, whisk together the Greek yogurt, egg, vanilla extract, and half of the maple syrup until the batter is completely smooth.
Pour the yogurt batter over the crust and smooth the top with a spatula.
Bake for 25 to 30 minutes until the edges are firm but the center remains slightly jiggly.
Simmer the mixed berries and the remaining maple syrup in a small saucepan over medium heat until the fruit softens into a thick sauce.
Allow the cheesecake to cool to room temperature, then chill in the refrigerator for at least two hours to set.
Spoon the jammy berry compote over the cheesecake before serving.