1. Heat olive oil in a large pot over medium heat. Add onion and cook until softened. Add garlic and sauté for another two minutes.
2. Add potatoes, corn, broth and coconut or almond milk and simmer for about one hour. Do not allow soup to boil.
3. Stir in thyme and turmeric, if using, and cook another 15 minutes. Season with salt and pepper to taste.