Preheat the oven to 200˚C. Spread the cleaned carrots on a baking sheet so that they are in one layer. Sprinkle with cumin, thyme, pepper and salt. Drizzle with olive oil and honey. Roast in the oven for about 30 minutes or until the carrots are tender.
Drizzle a little more honey over the bottom of the greased baking dish. Remove the carrots from the oven and spread them out in one layer in the baking dish. Don't do this in a springform pan as it may leak!
Coat the carrots with a few tablespoons of Nduja and sprinkle with thyme leaves. Crumble the goat cheese over the carrots and cover with the puff pastry.
Tuck the edges of the pastry in (remove any excess pastry) and make a few small slits in the pastry. Brush with egg wash and bake in the oven for about 30 minutes or until golden brown and done.
Allow to cool slightly, then place a large plate over the baking dish. In one motion, flip the casserole with the plate on top. Top the tarte tatin with more goat cheese and thyme leaves, if desired.