Line a quarter sheet baking tray with plastic wrap, making sure the sides of the tray are covered. Set aside.
Pour 1 ½ cup milk into a medium sized heavy bottomed saucepot. Add 2 tablespoons of sugar. Whisk and place over medium-high heat. Bring to a boil. Stir occasionally to ensure milk does not burn along sides or bottom of the pot.
Meanwhile, in a medium bowl, whisk together cornstarch and remaining sugar. Add yolks and remaining ½ cup of milk. Whisk together until smooth.
Once milk has come to a boil, reduce heat. Slowly add about ¼ cup of hot milk into egg mixture. Immediately whisk to distribute heat. Continue to add small portions of the hot milk into the egg mixture, whisking to distribute heat. Do this until only a few tablespoons of milk remain in the saucepot.
Pour all of the egg-milk mixture back into the saucepot. Set pot over medium heat. Stir constantly until mixture thickens. Keep stirring and let the custard come to a boil for 20-30 seconds to cook out unwanted cornstarch flavor. Remove from heat.
Stir in butter and salt until melted and incorporated. Next, add vanilla and stir to combine.
Immediately pour the hot pastry cream into the preared plastic wrapped sheet pan. Spread evenly. Cover pastry cream with plastic wrap, allowing wrap to touch surface of pastry cream. Freeze for 10-15 minutes to quickly cool pastry cream. Remove from freezer and continue to cool in refrigerator until ready to use.