Ina large heavy pot over medium heat, heat oil. Add leeks and saute 6-8 mins. or until translucent. Add garlic and saute until tender. Add zucchini and artichokes, season with salt and pepper to taste. Saute about 8 min. or until zucchini is tender. Add vegetable broth and thyme. Bring to simmer, then cover with lid. Reduce heat to medium-low. Simmer, stirring occasionally, about 20 minutes. Increase heat to medium-high. Add pasta , stir and cook until al dente, about 5-8 minutes.
Serve sprinkled with freshly grated Parmesan cheese. Garnish with chopped fresh flat-leafed parsley