How much important are the publications for a PHD to go through a quant interview

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2/19/14
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I am a new PHD and I am wondering the importance of the publications during my PHD time for obtaining quant interview opportunities and going through the interview.

Does publication only matters for CV screening and guarantee an interview?

If I am weak in publication, for example, no publication in the end (although I indeed have a publication on Journal of Applied & Computational Math before beginning my PHD), could I still get a chance of interview?

If publication is also important during the interview, and I meet an interviewer which is not in my area, how could we talk about it?

I know the answer may vary from companies to companies, from sell side to buy side. So feel free to show your point of view and thanks quite a lot for that.
 
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