Heat the oil in a medium pot over medium heat. Add the garlic, jalapeno, onion, 1/2 teaspoon salt and 1/4 teaspoon pepper and cook until softened, about 6 minutes. Add the ancho powder, coriander and cumin and cook, stirring, for 30 seconds. Add the chicken stock, increase the heat to medium-high and bring to a brisk simmer. Add the chicken breasts and simmer until the chicken is just cooked through, 15 to 20 minutes. Transfer the chicken to a plate to cool slightly.
Meanwhile, add the beans and their liquid to the pot with the broth and simmer for 5 minutes. Transfer about half of the mixture to a blender and blend until smooth (be careful when blending hot liquids). Return the blended liquid to the pot and add the green chiles. Simmer for 5 to 10 minutes to blend the flavors.
Meanwhile, shred the chicken. Add the chicken back to the chili and season with salt and pepper.
Serve the chili with an assortment of toppings.
When blending hot liquid, first let it cool for five minutes or so, then transfer it to a blender, filling only halfway. Put the lid on, leaving one corner open. Cover the lid with a kitchen towel to catch splatters, and pulse until smooth.