Step 1: Prepare the Crust

1. Preheat your oven to 325°F (163°C). Wrap the bottom of a greased 9-inch springform pan with heavy-duty foil to prevent leaks.
2. In a bowl, mix graham cracker crumbs with melted butter until evenly coated. Press firmly into the bottom of the pan to form an even layer.
3. Bake for 6 minutes, then let cool on a wire rack while preparing the filling and topping.

Step 2: Make the Cranberry Topping

1. In a medium saucepan, combine cranberries, sugar, and water. Simmer over medium heat for 12–15 minutes, stirring occasionally, until cranberries pop and the mixture thickens.
2. Remove from heat and stir in lemon juice. For a smooth sauce, strain through a fine-mesh sieve; otherwise, leave as is for texture. Set aside to cool.

Step 3: Prepare the Cheesecake Filling

1. In a large mixing bowl, beat softened cream cheese on medium speed until smooth and creamy. Gradually add sugar and lemon juice, mixing until fully combined.
2. Reduce speed to low and slowly incorporate beaten eggs, mixing just until blended to avoid over-aeration.

Step 4: Assemble the Cheesecake

1. Pour cheesecake filling over the cooled crust in the springform pan. Smooth out the top with a spatula.
2. Reserve about ¼ cup of cranberry topping and dollop it onto the filling. Use a knife or toothpick to swirl it gently for a marbled effect.

Step 5: Bake the Cheesecake

1. Place the springform pan inside a larger roasting pan and pour about 1 inch of hot water into the roasting pan (water bath). This prevents cracks during baking.
2. Bake at 325°F (163°C) for 55–65 minutes, or until the center is just set but slightly jiggly. Remove from oven and carefully lift out of the water bath.

Step 6: Cool and Chill

1. Run a knife around the edges of the cheesecake to loosen it from the pan and prevent cracking as it cools. Let it cool on a wire rack for 1 hour, then refrigerate overnight or for at least 6–8 hours.

Step 7: Add Cranberry Topping and Serve

1. Spread remaining cranberry topping evenly over the chilled cheesecake before serving. Garnish with fresh cranberries or lemon zest if desired.