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Some Patterns of Research in Mathematics

History and Overview 2026-05-26 v2

Abstract

We partially update Grossman's 2005 survey of patterns in mathematical research using a sample of 401 profiles from MathSciNet. The mathematical landscape has changed substantially: single-paper authors have reduced from 4343 \% to 32.4232.42 \%, collaboration has intensified, and the giant component of the co-authorship network has grown denser, with median Erd\H{o}s number dropping from 55 to 44. The data reveal the profession as markedly more collaborative, particularly among younger generations, although the tail of high productivity has also grown more extreme.

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Cite

@article{arxiv.2602.08231,
  title  = {Some Patterns of Research in Mathematics},
  author = {Octavio A. Agustín-Aquino},
  journal= {arXiv preprint arXiv:2602.08231},
  year   = {2026}
}
R2 v1 2026-07-01T10:27:13.261Z