Crush up the espresso beans in a small plastic bag.
Heat the heavy cream until it is simmering on the stove or in a large microwave safe measuring cup. Once the heavy cream is simmering, remove it from the heat and mix in the crushed espresso beans. Set aside.
Add the cream cheese, sugar, and cornstarch to a large mixing bowl (or to a stand mixer fitted with the paddle attachment.)
Use a hand mixer (or stand mixer) to beat the ingredients together for 2 minutes, until fluffy and smooth.
Add both eggs and the vanilla into the cream cheese, and beat the mixture on low speed *just* until the eggs have been fully incorporated.
Place a fine mesh sieve over the mixing bowl, and pour the espresso-cream mixture through the fine mesh sieve to separate out the espresso beans. Beat on low speed just until the mixture is cohesive.
Pour the cheesecake batter over the shortbread crust and tap the pan on the counter a few times to help remove any air from the filling.
Fill a 10" cake pan, or any larger pan that can reasonably fit the 7" springform inside of it, a third of the way with hot water. Wrap tin foil around the bottom of your springform pan to avoid the possibility of water seeping into the springform.
Place the springform pan into the larger pan, then place the whole thing into the oven. Bake for 60-70 minutes, or until the cheesecake only slightly wobbles and reaches an internal temperature of at least 155°F / 68°C. If the cheesecake starts to brown on top, gently place a piece of tinfoil over the top of the pan.
Once the cheesecake is fully cooked, turn off the oven and leave the door slightly ajar with the cheesecake in it for 1 hr. before transferring it to the fridge to chill for at least 8 hours.