Preheat the oven to 350°F (175°C).
In a bowl, combine graham cracker crumbs, sugar, and melted butter. Mix until well blended.
Press the crumb mixture into the bottom of a 9-inch springform pan.
In a large mixing bowl, beat the softened cream cheese until smooth.
Add brown sugar and mix until fully incorporated.
Add sour cream, eggs, and vanilla extract; beat until smooth.
Pour the cheesecake mixture over the prepared crust.
Bake for 55-60 minutes, or until the center is set but slightly jiggly.
Allow the cheesecake to cool to room temperature, then refrigerate for at least 4 hours, preferably overnight.
In a saucepan, combine corn syrup, brown sugar, and salt; cook until it starts to simmer.
Remove from heat, stir in chopped pecans, and pour over the cooled cheesecake.
Return the cheesecake to the refrigerator for another hour before serving.