My estranged husband is trying to get a larger stimulus for himself by filing "married" on his taxes. How will this affect my tax filing as "head of household"?

We have not shared a life in almost a decade and we don't live in the same state. He hasn't been regularly filing his taxes over the years and I'm worried about my ssn being on his filing as well. Can I prevent him from using my ssn on his filing and have him file "single" like he's supposed to?