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CVs and Resumes

I am often giving advice to students about their application materials. Here are some general tips. They are nothing special to math, or to academia.
  1. Consider your audience.
  2. Be brief, be specific.
  3. Avoid cliches. Bend the rules.
Disclaimer: Most of what I write below is focused on summer research internships and (semi-)permanent academic jobs. Some of the advice probably carries over to jobs at national labs, government, or the private sector, but I haven't had enough conversations with people in those spheres to know for sure.

1. Consider your audience.

I can speak to the person looking at your materials in academia:

2. Be brief, be specific.

Much of this item is related to the "overworked professor" trope, and its natural conclusion: they will train themselves to skim past anything that looks like fluff or filler. Even if the reader isn't overworked, being able to communicate your expertise concisely and effectively is a large part of what makes you an impressive candidate. I would suggest no more than two sentences on any one item.

3. Avoid cliches. Bend the rules.

You need to stand out. If it feels like you're putting in verbiage, sections, etc, that feel pointless, ask yourself why (here, avoiding cliches aligns with being brief). If you are still building your confidence, and not sure if you are deleting something vital, ask a mentor.

In bending the rules, know that unless an application says something like, "you may not include images" or "up to 2 pages" or "up to 2MB," be brave in expressing yourself in your CV! Even moreso for your other application materials! For example...

Of course, know that in making personal or artistic choices, not everyone may receive it positively (or neutrally). You may have a grouch on the hiring committee, but you can't know this in advance. The decisions are up to you.

Specific recommendations.

Finally, I'll give some more specific recommendations. Know that they're based on the principles above. Most of them aren't controversial.