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I'd ask. If you're not using the quotes to misrepresent the author or show the author in a negative light, I can't see why the person would say no. And I'm not sure where Fair Use ends and Infringe...
Answer
#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/3597 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#3: Attribution notice added
Source: https://writers.stackexchange.com/a/3597 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
I'd ask. If you're not using the quotes to misrepresent the author or show the author in a negative light, I can't see why the person would say no. And I'm not sure where Fair Use ends and Infringement begins in terms of copyright. Besides, if this person is doing a lot of your heavy lifting, it would be courteous to get the person's permission to be linked with you (or at least to give the person a heads-up).