Grind 3/4 cup of hazelnuts by placing in a food processor and pulsing until finely ground. Set aside.
Bring milk to a boil. Remove from heat, and set aside.
In a medium mixing bowl, whisk eggs into cornstarch one at a time. Remove vanilla bean from the container of sugar, and whisk in the 6 1/2 Tbs of sugar.
While whisking vigorously, slowly add the still-hot milk. Return the mixture to the saucepan, heat until the custard is very thick. Remove from heat.
Stir ground hazelnuts into custard, then spread into cooled tart crust.