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Many "regional" universities have a strong teacher education mission, and some faculty from their mathematics departments are often involved with educating pre-service teachers. …

My postdoc in math at a top-ranked U.S. school did not come with any dedicated travel funding. Some amount of funding was still available through the department, but not much - perhaps one domestic tr …

The American Mathematical Society publishes detailed data about mathematics employment in the United States. … This is partially due to the ability of mathematics PhDs to look for jobs in business, industry, and government, although the majority work in academia. …

In mathematics, computability is studied as part of mathematical logic. The key initial concept is Turing computability, but the focus is just as much on non-computable objects. … An undergraduate degree in mathematics, or very good mathematical preparation otherwise, is required to be admitted to a PhD program in math. …

Of course, some schools may have a few doctoral degrees (e.g. in education) but not have one in mathematics. …

In mathematics, the terminal degree is a PhD, and you will find that virtually all schools require a PhD in their job advertisements for tenure-track faculty. … Options for master's degree holders There are still two realistic options for finding mathematics faculty positions with only a master's degree: Some institutions, particularly larger ones, hire a number …

Everyone has different experiences - most mathematicians only see a handful of departments in their life - but I don't believe references to the research literature are very common in mathematics "statement … A mathematics statement of purpose is not the same kind of document as a grant proposal. …

I want to emphasize a point that was made in some comments and as a secondary point in some answers. The question asks about going to a "2nd tier" program for one semester, then applying immediately t …

Similarly, you could consider semester-long programs like the Budapest Semesters in Mathematics, the Penn State MASS program, or similar. …

It may depend, to some extent, on how much the university wants you, and on how much flexibility they have. If the school doesn't often hire visiting professors, there is more chance they will treat …

I sympathize with your situation - recursion theory as a whole is essentially the size of a sub-subfield in other areas of mathematics. …

At every school I have been, there were undergraduates in mathematics with the aptitude for publishable research. The talent needed may not be "common", but it is certainly not "rare". … Particularly in mathematics, PhD students are examined in a range of subjects, and are expected to have mastered large parts of the undergraduate curriculum. …

The AMS divides mathematics departments into several groups depending on specialty and whether the department offers a doctorate, master's, or bachelors degree as its highest degree. … They do release a summary by field, including mathematics, applied mathematics, and statistics. …

What is the median math GRE subject score for admission to a Group 2 or 3 PhD program in applied mathematics? …

See "Undergraduate Research in Mathematics Has Come of Age" from Notices of the AMS, 2014. The key thing is to find a good project - which means finding a good advisor. …