In a glass bowl, microwave milk and butter until the butter is melted.
Check the temperature of the milk and butter. It will be too hot to mix with the yeast at this point. Allow to cool to 110℉. This may take around 5 minutes.
Measure yeast and sugar into the stand mixer bowl. Once the milk and butter are cooled, add to the bowl.
Add eggs, flour and salt.
Using the dough hook, knead the dough for 5-8 minutes, or until the dough is a uniform ball and the sides of the mixing bowl are clean.
Cover the bowl and rest the dough for 30 minutes.
After the rise, punch down the dough and form into a ball. Divide the dough into 12 equal pieces.
Roll each piece into a ball, tucking and pinching the bottom to create a smoother surface.
Place the dough balls onto a parchment paper lined sheet pan. Place 6 burger buns on each sheet pan.
Slightly press down on the dough so the buns rise into a more bun-like shape.
Cover the burger buns with a tea towel and allow to rise and rest for about 20 more minutes.
Preheat the oven to 350℉.
Just prior to baking, beat the egg wash egg. Brush each burger bun with egg wash and sprinkle sesame seeds on top.
Bake for 15 minutes or until golden brown.
Once buns are finished baking, transfer to a cooling rack for at least 30 minutes.
Burger buns can be used same day, stored in a plastic bag at room temperature for up to 5 days, or frozen for up to 3 months.