Preheat the oven: Set your oven to 350°F (175°C) and prep an 8x8 inch pan by lining it with parchment paper.
Mix the base: In a medium bowl, combine melted butter with granulated sugar, whisking until glossy.
Add eggs: Crack in the eggs and whisk thoroughly until fully emulsified.
Incorporate flavors: Stir in vanilla extract and red food coloring.
Combine dry ingredients: Gently fold in flour, cocoa powder, and salt until just combined.
Pour the batter: Transfer the brownie batter into the prepared pan.
Prepare the cheesecake swirl: Blend together cream cheese, granulated sugar, egg, and vanilla extract until smooth.
Swirl it in: Drop dollops of the cheesecake mixture on top of the brownie batter and swirl.
Bake it up: Place in the oven and bake for 30-35 minutes.
Cool and slice: Allow the brownies to cool completely before slicing.