01 - Preheat oven to 425°F. Line a rimmed baking sheet with parchment paper.
02 - In a large mixing bowl, whisk together the olive oil, balsamic vinegar, honey, minced garlic, salt, and black pepper until well combined.
03 - Add the trimmed and halved Brussels sprouts to the bowl and toss thoroughly until every sprout is evenly coated with the glaze.
04 - Spread the Brussels sprouts cut-side down on the prepared baking sheet in a single even layer, making sure not to overcrowd the pan.
05 - Roast for 22 to 25 minutes, stirring once halfway through, until the sprouts develop golden caramelized edges and tender centers.
06 - Transfer the roasted sprouts to a serving dish and drizzle with any remaining glaze from the baking sheet, tossing gently to coat.
07 - Scatter toasted chopped nuts and grated Parmesan cheese over the top. Serve immediately while warm.