Preheat oven to 425.
Lightly grease a 9-inch springform pan with cooking spray; set aside.
In your mixer's bowl combine butter and sugar; beat until creamy.
Add rum extract and almond flour; continue to mix until smooth and thoroughly combined.
Press mixture onto the bottom of prepared pan; set aside.
In your mixer's bowl combine cream cheese and sugar; beat until well blended.
Add vanilla and egg; continue to mix until thoroughly incorporated and smooth.
Using an offset spatula, spread the cream cheese mixture on top of prepared crust.
Arrange pears in a fan-like fashion.
In a bowl, combine sugar and cinnamon; sprinkle over pears.
Top with almonds.
Bake for 10 minutes; reduce temperature to 375 and continue to bake for 20 to 25 minutes, or until center is set.
Remove rim and refrigerate for 3 hours.
Cut and serve.