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arXiv · 2602.08231

Some Patterns of Research in Mathematics

Octavio A. Agustín-Aquino
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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 $43$ \% to $32.42$ \%, collaboration has intensified, and the giant component of the co-authorship network has grown denser, with median Erd\H{o}s number dropping from $5$ to $4$. 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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Octavio A. Agustín-Aquino. 2026-02-09. Some Patterns of Research in Mathematics. https://arxiv.org/abs/2602.08231

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