Citation rates in mathematics: a study of variation by subdiscipline
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Variation of citation counts by subdisciplines within a particular discipline is known but rarely systematically studied. This paper compares citation counts for award-winning mathematicians is different subdisciplines of mathematics. Mathematicians were selected for study in groups of rough equivalence with respect to peer evaluation, where this evaluation is given by the awarding of major prizes and grants: Guggenheim fellowships, Sloan fellowships, and National Science Foundation CAREER grants. We find a pattern in which mathematicians working in some subdisciplines have fewer citations than others who won the same award, and this pattern is consistent for all awards. So even after adjustment at the discipline level for different overall citation rates for disciplines, citation counts for different subdisciplines do not match peer evaluation. Demographic and hiring data for mathematics provides a context for a discussion of reasons and interpretations.
KeywordsCitation analysis Mathematics Subdisciplines Peer evaluation Awards Awardees Grants Grantees
- American Mathematical Society (AMS). (2011a). MR: Help. Retrieved August 2, 2011 from http://www.ams.org/mathscinet/help/citation_database_help_full.html.
- American Mathematical Society (AMS). (2011b). Annual survey of the mathematical sciences. Retrieved from http://www.ams.org/profession/data/annual-survey/annual-survey.
- American Mathematical Society (AMS). (2011c). Math reviews institution codes and addresses look up. Retrieved August 2, 2011 from http://www.ams.org/instcode.
- Association of American Universities (AAU). (2000). AAU Membership Policy. Retrieved August 2, 2011 from http://www.aau.edu/WorkArea/DownloadAsset.aspx?id=10972.
- Bensman, S. J. (2008). Distributional differences of the impact factor in the sciences versus the social sciences: An analysis of the probabilistic structure of the 2005 Journal Citation Reports. Journal of the American Society for Information Science and Technology, 60(6), 1097–1117.CrossRefGoogle Scholar
- Bensman, S. J., Smolinsky, L. J., & Pudovkin, A. I. (2010). Mean citation rate per article in mathematics journals: Differences from the scientific model. Journal of the American Society for Information Science, 61(2010), 1440–1463.Google Scholar
- Bornmann, L., Mutz, R., Marx, W., Schier, H., & Daniel, H. D. (2011a). A multilevel modelling approach to investigating the predictive validity of editorial decisions: Do the editors of a high profile journal select the manuscripts that are highly cited after publication? Journal of the Royal Statistical Society A, 174(4), 857–879.MathSciNetCrossRefGoogle Scholar
- Bornmann, L., Schier, H., Marx, W., & Daniel, H. D. (2011b). Is interactive open access publishing able to identify high-impact submissions? A study on the predictive validity of atmospheric chemistry and physics by using percentile rank classes. Journal of the American Society for Information Science and Technology, 62(1), 61071.CrossRefGoogle Scholar
- Fairweather, G., & Wegner, B. (2009). For your information: mathematics subject classification 2010. Notices of the American Mathematical Society, 56(7), 848.Google Scholar
- Garfield, E. (1979). Citation indexing—Its theory and application in science, technology, and humanities. New York: Wiley.Google Scholar
- MathSciNet books. (2009). Retrieved August 2, 2011 from http://www.ams.org.libezp.lib.lsu.edu/mathscinet/.
- MathSciNet papers. (2009). Retrieved August 2, 2011 from http://www.ams.org.libezp.lib.lsu.edu/mathscinet/.
- Moed, H. (2005). Citation analysis in research evaluation. Dordrecht: Springer.Google Scholar
- National Research Council (NRC). (2010). A revised guide to the methodology of the data-based assessment of research-doctorate programs in the United States. Washington, DC: The National Academies Press.Google Scholar
- National Research Council (NRC). (2011a). A data-based assessment of research-doctorate Programs in the United States. Washington, DC: The National Academies Press.Google Scholar
- National Research Council (NRC). (2011b). Assessment of research doctorate programs. Awards and honors data Collection and Methodology. Retrieved August 2, 2011 from http://sites.nationalacademies.org/PGA/Resdoc/PGA_044718.
- National Science Board (NSB). (2010). Science and Engineering Indicators 2010. Arlington: National Science Foundation (NSB 10-01).Google Scholar
- Podlubny, I., & Kassayova, K. (2011). The law of constant ratio. Letters to the editor. Notices of the American Mathematical Society, 58(5), 653–654.Google Scholar
- Society for Industrial and Applied Mathematics (SIAM). (2011). Prizes, awards, and lectures sponsored by SIAM. Retrieved August 2, 2011 from http://www.siam.org/prizes/sponsored/.
- Thomson Reuters. (2011). Science citation index expanded scope notes, Retrieved August 2, 2011 from http://science.thomsonreuters.com/mjl/scope/scope_scie/.