Deconstructing doctoral dissertations: how many papers.
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And math phd's are very rare. By estimation I would assume that only 0.001% of total population would hold phd in mathematics. So that does end up as around 3100 mathematicians in US. Many of the math teachers in high school or community colleges may not be holding phd in math. So technically they are not mathematicians.
Keep in mind, faculty members who have many current PhD students might be less likely to take on an additional PhD student this academic year. To read research papers and write mathematics. The latter includes getting familiar with LaTeX (or one of its variants such as Scientific Word, lyx), which is the standard software for mathematical writing.
Most PhD examiners do ask how many papers a PhD scholar has published when they come for Open defense. Recently my own candidate faced this question. She had published 2 papers by the time she.
PhD students are encouraged to attend academic conferences and showcase their research work in a variety of ways. Upon completions of their studies, many of our PhD students become academics, or researchers at international or government research institutions (see recent job market placements here).
A thesis (or dissertation) may be arranged as a thesis by publication or a monograph, with or without appended papers, respectively, though many graduate programs allow candidates to submit a curated collection of published papers. An ordinary monograph has a title page, an abstract, a table of contents, comprising the various chapters like introduction, literature review, methodology, results.
Deconstructing doctoral dissertations: how many papers does it take to make a PhD? Scientometrics, Nov 2010 Nils T. Hagen. Nils T. Hagen.