Heat the oil in a large soup pot over medium heat.
Add the onion, garlic, red pepper, and jalapeño. Cook for 8 minutes, stirring frequently.
Add the potatoes, cilantro, broth, chipotle peppers, cumin, salt, celery seeds, and smoked paprika. Bring to a boil, reduce heat to medium, and cook for 10–15 minutes or until potatoes are tender.
Add corn and cook for 5 minutes.
Stir in the soy milk.
Roughly blend about half of the soup with an immersion blender or a stand-up blender.
The plant-based chipotle corn chowder is ready to serve. Garnish with red onion, cilantro, red pepper, and jalapeños, if desired.