I've been working on a new product for a company as a software developer (creating it from scratch). I've come up with a name for it as well which my manager didn't tell me to do but I decided to be creative. Now that I've resigned, can I register a trademark for the name of the product that I've come up with considering that my previous employer does not seem to be going forward with the product?
Also is there anything stopping me from registering a trademark for any of their existing product names if they haven't done it themselves?