Clean and wash the Brussels sprouts and remove the leaves individually. Heat a little water in a pot. Add the leaves and stew covered for 2-3 minutes until firm to the bite, while turning. Remove the leaves, rinse with cold water and allow to drip off.
Coarsely chop the walnuts. Peel garlic and cut into fine pieces. Mix starch with a little water. Heat oil in a pan. Fry the garlic and walnuts for 2-3 minutes, turning them over. Add cream and stock, bring to the boil and thicken with starch until slightly creamy, season with salt and pepper.
Prepare the pasta in boiling salted water according to the instructions on the packet. Slice cheese into shavings. Drain noodles, put them back into the pot with sauce and Brussels sprouts, season to taste. Arrange in deep plates, sprinkle with some cheese.
Add the remaining cheese.