In a saucepan, add strawberries that are cut in half, add the sugar, and lemon juice, and mix over medium-high heat.
Decrease the heat to medium-low and simmer for 20 minutes mixing occasionally.
Mix the cornstarch in a small bowl with a little bit of water and pour it into the strawberry mixture mixing constantly. Simmer for another 2-3 minutes.
Set aside and let it cool. Top the cheesecake with the strawberry topping, slice and enjoy!
Notes
If you are looking for a chunky consistency, cut your strawberries in half. If you are looking for a smoother texture, cut the strawberries into smaller pieces and they will break while cooking.
Use ripe, juicy strawberries for the best flavor in your sauce. Look for berries that are deep red in color and fragrant.
Keep in mind that the sauce thickens as it chills, if it looks too runny, you may need to let it cool before adding more cornstarch to make it thicker.
For a smooth sauce, don't blend the strawberries before cooking them. It will make the mixture runny. Simply cook it as written in the instructions and then blend the finished sauce.
Cook this compote over low heat while it cooks so it won't burn on the bottom of the pan.
Taste the strawberries before making the sauce. If they are sour and less sweet, add more sugar. If they are very sweet, use less sugar.
Let the sauce completely cool before you use it for desserts like ice cream, or cheesecakes, so it won't melt the dessert down.