Place potatoes into a large pot and cover with salted water.
Bring to a boil over high heat, then reduce heat to medium-low, cover, and simmer until just tender.
Drain and allow to steam dry for a minute or two.
Meanwhile, heat the vegetable oil in a large skillet over medium heat.
Stir in the onion and garlic; cook and stir until the onion has softened and turned translucent, about 5 minutes.
Season with cumin, cayenne pepper, curry powder, garam masala, ginger, and salt.
Cook for 2 minutes more.
Add the tomatoes, chickpeas, peas, and potatoes.
Pour in the coconut milk, and bring to a simmer.
Simmer 5 to 10 minutes before serving.