Am I a jerk for refusing to talk to a coworker?

There's this girl coworker that gets on my nerves. She'd like poke/touch me/get in my personal space and some other coworkers and it annoyed me, also she'd make smart ass jokes kinda mocking me (she was trying to be funny but still). She was persistent on talking to me despite things like totally ignoring her... It seems she got it now but now for like a week she seems sullen and less talkative.. I think this might be because of me, I'm stubborn though so I don't know if I can be nice.

AITB for refusing to talk to her though?

Am I a jerk for refusing to talk to a coworker?
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