Bring a pot of water to a boil. Boil shrimp until cooked, about 1 minute. Drain shrimp and set aside.
Pour coconut milk and 2 cups water into a large saucepan; bring to a simmer. Add galangal, lemongrass, and lime leaves; simmer until flavors are infused about 10 minutes.
Strain coconut milk into a separate pan and discard spices. Simmer shiitake mushrooms in coconut milk for 5 minutes. Stir in lime juice, fish sauce, and brown sugar. Season to taste with curry powder.
To serve, reheat shrimp in soup and ladle into serving bowls. Garnish with green onion and red pepper flakes.
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