Some Patterns of Research in Mathematics

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1. Verfasser: Agustín-Aquino, Octavio A.
Format: Preprint
Veröffentlicht: 2026
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author Agustín-Aquino, Octavio A.
author_facet Agustín-Aquino, Octavio A.
contents 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 Erdős 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08231
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Some Patterns of Research in Mathematics
Agustín-Aquino, Octavio A.
History and Overview
01A80
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 Erdős 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.
title Some Patterns of Research in Mathematics
topic History and Overview
01A80
url https://arxiv.org/abs/2602.08231