Preheat oven to 350°F. Line an 8×8 pan with parchment paper.
Mix graham cracker crumbs, brown sugar, and melted butter. Press into the pan and bake 8–10 minutes.
Cool and reduce oven to 325°F.
Cheesecake Batter:
Beat softened room temperature cream cheese and sugar until smooth. Scrape the bottom and sides of the bowl.
Whisk eggs and vanilla in a separate small bowl and add to cream cheese.
Add heavy cream and sour cream.
Remove the bowl from the stand mixer and then gently fold cheesecake batter until it's all combined. Pour over crust and smooth the top.
Place a small pan of boiling water on the lower oven rack to create steam. Bake cheesecake 45–50 minutes until edges are set and center jiggles.
Allow the cheesecake to cool to room temperature on the counter and then refrigerate at least 4 hours or overnight.
Strawberry Topping:
Cut, wash and quarter strawberries removing the stems.
Cook the sugar and strawberries in a medium saucepan for 4 minutes on low speed until the juices release.
Pour half of the mixture into a tall container and blend until smooth, then return it to the saucepan. This step is optional, but it gives the perfect balance of sauce and jammy strawberries.
Stir the cornstarch and water together, then pour it into the strawberry mixture while stirring. The topping will thicken quickly. Transfer it to an airtight container and allow it to cool before refrigerating.
Strawberry Cheesecake Bars Assembly:
Spread the topping evenly over the cheesecake and add fresh strawberries if desired, slice into bars.