In a large mixing bowl, beat the softened cream cheese until smooth and creamy. Add the 1 1/2 cups granulated sugar, pumpkin puree, vanilla extract, ground cinnamon, ground nutmeg, ground cloves, and allspice and corn starch. Mix until well combined.
Add the eggs one at a time, mixing well after each addition. Be sure not to over mix; just blend until the ingredients are combined. It also helps even cooking if everything is at room temperature.
Pour the pumpkin cheesecake filling over the prepared crust in the springform pan. Smooth the top with a spatula.
Set the foil covered spring form pan inside of a roasting pan (or baking dish big enough for it to fit).
Fill the roasting pan with water until the water reaches about half way up the sides of the spring form pan.
Bake the cheesecake in the preheated oven for 50-60 minutes, or until the edges are set but the center still has a slight jiggle.Depending on the humidity as well - it may require a longer baking time. Before taking it out, slightly jiggle the pan... you're looking for minimal movement. Turn the oven off and allow the cheesecake to cool in the oven for about 30 minutes, take out, let cool off and then refrigerate for at least 4 hours or overnight to set completely.
Before serving, you can garnish your pumpkin cheesecake with whipped cream, caramel sauce, or a sprinkle of cinnamon for extra flair.