In a bowl of a stand mixer, beat the cream cheese both sugars until smooth. Add the vanilla, nutmeg, cinnamon and mix again. Scrap the bottom of the bowl to make sure everything is incorporated. Add the sweet potatoes and mix until smooth. Scrape the bowl again and mix for 30 seconds more. In a medium (separate) bowl, whip the heavy cream until you’ve reach stiff peaks. Take half of the whipped cream and fold into the sweet potato filling, then take the remaining whipped cream and fold until it’s smooth and there are no visible streaks of whipped cream. Pour the filling into the pan and smooth the top with a small offset spatula. Chill the cheesecake for at least four hours before serving, preferably chill overnight.