Family never went to college.

Review system for math publications is flawed and should be replaced by public arXiv comments/checks. No single reviewer can be sure the proof is flawless and they can easily overlook flaws; they're only uncovered by continued readings from researchers over time that need to use said results (and in practice it's been word-of-mouth to disseminate knowledge of flaws, which is extremely suboptimal/misleading). The arXiv allows versioning so any corrections are coherently documented, and public arXiv comments of the form "I am unsure about step X because of Y" or "I do not see any errors" will allow the community as a whole to assess the work. There is no reason to hide the reviewer w.r.t. journals either, it should be the reviewer working with the authors.