Heat vegetable oil in a large stockpot over medium heat.
Add red curry paste, ginger, and garlic, then sauté for 2 minutes until aromatic.
Pour in the coconut milk and vegetable broth, then add the lemongrass sections.
Bring the liquid to a gentle simmer and stir in the fish sauce and brown sugar.
Maintain a simmer for 10 minutes to allow flavors to infuse.
Add the dumplings to the simmering broth and cook for 6 minutes or until they float and the internal temperature reaches 165°F (74°C).
Stir in the chopped bok choy and cook for an additional 2 minutes.
Remove the lemongrass sections and stir in the lime juice.
Portion into bowls and garnish with cilantro before serving.