Spread the breadcrumbs out evenly on a rimmed baking sheet and place on the middle rack of the oven. Toast the bread crumbs to a light golden brown. Remove from the oven to the workspace, when cool transfer to a small dish and reserve.
Reduce the oven temperature to 350°F Coat a 2-quart oven-proof casserole dish with non-stick oil spray.
Cream Mixture:
Combine the cream and garlic, in a pitcher or canning jar and set aside.
Add the salt and pepper to a small dish and set aside.
Peel the potatoes, and slice them 1/8-inch thick, using a mandolin or thin-bladed knife.
Arrange 1/3 of the potato slices on the bottom of the casserole dish. Sprinkle the potatoes with 1/3 of the salt/pepper mix. Dot the potatoes with 1/3 of the butter bits. Sprinkle with a teaspoon of thyme leaves. Distribute 1/3 of the goat cheese crumbles over the layer. Pour 1/2 cup of the cream mixture over the layer. Continue layering the potatoes, salt/pepper butter, thyme, cheese and the last of the cream mixture. You will have a total of 3 layers.
Bake the Potatoes:
Rip off a sheet of foil large enough to cover the dish and coat one side with oil spray and cover the dish, oil side down. Set the dish on a foil-lined baking sheet. Transfer to the oven and bake for 1 hour 15 minutes. Remove the foil cover and insert a knife into the center of the casserole, if there is any resistance, re-cover with the foil and continue baking for an additional 10 minutes or until the potatoes are tender.
Transfer the dish to a workplace, remove and discard the foil. Combine the bread crumbs and Parmesan cheese and distribute them evenly over the top of the potatoes. Return to the oven and bake an additional 5-10 minutes until the edges are bubbly and the crumbs are a deep golden brown.
Notes
We used a log of fresh goat cheese for this dish but the aged goat cheese works if you remove the rind.
Slice the goat cheese and place it in the freezer and it will be easier to crumble.
When ready to bake the dish of potatoes, set it on a foil-lined baking sheet to catch any over flow drips.