Issue #1 - It could be a problem for your next employer, especially if your former employer sends them a legal threat letter. Issue #2 - If it's a personal pro

Issue #1 - It could be a problem for your next employer, especially if your former employer sends them a legal threat letter. Issue #2 - If it's a personal project, don't publish it until after you've stopped working there for a year. However, given that it's a large corporation, it's probably a boilerplate contract and you aren't going to get anywhere if you try to negotiate that point.