I am writing to ask if there is any consensus on the role of (i) the GRE General Exam and (ii) the GRE Mathematics Subject exam in the PhD admissions process for Mathematics Departments in the United States...and I want information specific for 2023.
Some context: I spent many years involved with graduate admissions in my department (Mathematics at the University of Georgia) and was Graduate Coordinator (the faculty member most closely involved in graduate admissions) from 2016 through 2019. At that time, most top 100 PhD programs required one or both of these exams, so I advised any prospective mathematics graduate student to take them.
As of this semester I took a role as an advisor to (many) undergraduate students in our department, and I will be giving a workshop on Graduate School in mathematics. I know that following the COVID19 pandemic my own department no longer requires either GRE exam (nor does it seem to be much used anymore in our admissions process). I am currently in the process of looking up what is happening with other schools. From what I have found so far, the most common status is "Not required but can be submitted" followed by "Not required but recommended." This makes me wonder what is the role of the GRE for contemporary students applying to graduate school in mathematics. If you are involved in graduate admissions from the other side, would you advise prospective students to take one or both exams? Why?
Added: Here is one example of something I found that seems to be staking out a rather subtle position:
GRE Mathematics subject scores are not strictly required for the application. You may submit unofficial scores if you wish. Omission of the GRE test score will not negatively affect your application.