Teriyaki Udon Noodles with Vegetables

Name: Teriyaki Udon Noodles with Vegetables
Ingredients: 1 tbsp ginger, ((grated)); 1 tbsp toasted sesame seeds, ((crushed)); 2 tbsp sake; 2 tbsp mirin; 3 tbsp shoyu soy sauce, ((or any other soy sauce)); 1 tsp sugar; 1 tbsp toasted sesame oil; neutral oil, ((for stir-frying)); 4 oz shiitake mushrooms, ((stems removed and caps sliced)); 1 large red bell pepper, ((cored and sliced)); 1 head baby bok choy, ((leaves torn)); 3 large green onions, ((whites chopped into 1 pieces and greens sliced thinly for garnish)); 8 oz udon noodles; sesame seeds, ((for garnish)