Preheat oven to 450°F. Prep all ingredients before cooking.
Toss brussels sprouts with olive oil and a pinch of kosher salt. Spread cut side down on a baking sheet.
Roast for 10-12 minutes, flipping halfway through, until golden brown but not charred.
Lightly crush caraway seeds with a mortar and pestle. Add black garlic and thyme leaves, crush into a paste, then transfer to a prep bowl.
In a large sauté pan over medium-high heat, melt butter and cook for 3 minutes until browned.
Add the black garlic paste, roasted sprouts, toasted pumpkin seeds, and a pinch of salt to the pan. Stir for 30 seconds, then remove from heat.
Off the heat, stir in lemon juice. Transfer sprouts to a bowl or plates.
Drizzle with tahini and serve immediately.