Preheat your oven to 375°F (190°C).
Prepare the butternut squash by peeling, seeding, and cubing it.
Boil the cubed squash in a pot of salted water for about 10-15 minutes.
Drain and mash the squash until smooth.
In a large bowl, combine the mashed squash with heavy cream, half the cheese, salt, pepper, and thyme.
Transfer the squash mixture to a greased baking dish.
Top with the remaining cheese and breadcrumbs.
Bake in the preheated oven for 25-30 minutes, or until golden and bubbly.