Cube the potatoes and boil them
While potatoes are boiling, melt butter on low heat in a saucepan on the stove.
When the butter is melted, add the garlic and sauté for a couple of minutes. Do not let the garlic get too brown.
Remove and set aside while you prepare the rest of the potatoes.
When potatoes are fork-tender, drain them and then add them back to the pan.
Mash the potatoes with a potato masher or put them in your mixer and mix until smooth. Do not over-mix.
Add the salt, garlic butter and Parmesan cheese and mash or mix.
If your potatoes are too stiff, add some liquid like milk or cream.
Transfer to an oven-safe dish and broil on high for several minutes until the top starts to brown.
Serve while hot.