Heat oil in a medium-sized pan over medium-high heat. Add celery and cook for 8-10 minutes until they start to brown. Stir often.
Peel and mince ginger and add to the pan. Stir in spices and salt. Cook for a minute, then pour in the coconut milk and crushed tomatoes and stir.
Chop jackfruit into smaller pieces, remove any seed/pods, then add to the pan, along with the coconut sugar.
Bring to boil, then reduce heat to medium and let simmer for 15-20 minutes, until the sauce has reduced and thickened. Serve over rice with a side of unsweeted plain vegan yogurt or sour cream.