Preheat oven to 350°F (175°C). Combine gingersnap crumbs and melted butter; press into a 9-inch pie dish and bake for 8 minutes; cool.
Reduce oven temperature to 325°F (165°C).
In a large bowl, beat mascarpone cheese and brown sugar with an electric mixer on medium-low until smooth and creamy.
Add pumpkin puree, cinnamon, ginger, nutmeg, cloves, salt, and vanilla; beat on low until blended.
Add eggs one at a time, beating on low speed just until incorporated without whipping excess air.
Pour filling into cooled gingersnap crust; bake for 50 to 55 minutes until edges are set with a slight jiggle in center.
Cool completely on a wire rack for 2 hours, then refrigerate for at least 6 hours before slicing.