First, make the compote because it needs to cool completely before you can add it to the cheesecake filling. Combine the berries and sugar in a saucepan and set on low heat, stirring often until the berries release a lot of liquid and start to soften. After about 5 mins, when the liquid begins to simmer, take out 1 tablespoon of it and stir it with the cornflour in a small bowl. Add this back into the saucepan (this omits the need to use extra water to dissolve the cornflour). Stir and let the compote boil for 3 to 4 minutes. When the liquid thickens enough to coat the back of a spoon without sliding off, turn off the heat and let it cool completely at room temperature. It will thicken further as it cools. Take out 1/3 cup of the compote and place in the fridge to decorate the cheesecake later.
Now make the crust. In a food processor fitted with a sharp blade, blitz the biscuits until finely crumbed and sandy in appearance. Pour in the melted butter and let the processor run on low speed until the mixture clumps together.
Tip into the base of a 9" springform pan and press down evenly and firmly, taking the mixture up to the sides of the pan as well. Place in the fridge for 30 minutes.
Preheat the oven to 160 C.
Make the filling about 10 minutes before the crust is done chilling. Wipe out the bowl of the food processor and add the room temperature compote. Blitz for a few seconds until mostly smooth. Now add the cream cheese, yoghurt and sugar. Blitz till smooth, but don't over beat the mixture.
Add the vanilla and eggs, one at a time, letting the food processor run after each one for a few seconds. Once the third egg is added, let it run on low speed for another 5 to 10 seconds, until the eggs are completely incorporated. Again, don't over beat it because too much air in the filling will cause the cheesecake to crack.
Pour the filling over the chilled crust and tap the pan gently on the counter to remove any air bubbles.
Bake for 1 hour to 1 hour 10 minutes, or until you see the edges are puffing up and lightly browned and the center is still a little wobbly when you shake the pan. Check for doneness once at 50 minutes and then continue baking, since cheesecakes are finicky and could take more or less time in your oven.
Let the cheesecake cool in the oven with the door slightly open for about 20 minutes, then take it out and let it cool to room temperature for an hour and you will see the center has firmed up. Place in the fridge for at least 6 hours, preferably overnight.
When you are ready to serve the cheesecake, make the topping. Whip the cream, sugar and vanilla together in a mixing bowl, using a hand mixer on high speed. Whip till soft peaks form, then spread onto the top of the cheesecake. Top the cream with the reserved chilled 1/3 cup compote (let it sit at room temperature for 10 minutes if it's firmed up in the fridge). Slice and dig in!
Cheesecake must be stored in the fridge at all times in an airtight container. It will keep for 4 to 5 days. It can also be frozen for about a month, as long as the topping is added only after defrosting. Happy baking!