About

James Cummings is a professor at Carnegie Mellon University in the Mathematical Sciences Department. His primary research interests lie in set theory and mathematical logic. He is also involved in the CMU interdisciplinary program in logic, reflecting his commitment to advancing the study of foundational mathematical concepts. Cummings has an extensive academic background, having grown up in Oxford, England, attended Eton, and studied at Trinity College, Cambridge. In the United States, he has studied or worked at prestigious institutions including Caltech, MSRI Berkeley, MIT, and Dartmouth, and has also spent time at the Hebrew University in Jerusalem. Outside of his academic pursuits, he enjoys reading, movies, and travel. This biography is based on information provided on his personal page at Carnegie Mellon University as of March 1, 1998.

Research topics

• Political Science
• Sociology
• Social Science
• Psychology
• Media studies
• Law
• Medicine
• Gender studies
• Public relations
• Bioinformatics
• Virology
• History
• Biology

Selected publications

• FRONT MATTER

  Lecture notes series, Institute For Mathematical Sciences · 2025-03-01

  paratext1st authorCorresponding
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• BSL volume 30 issue 1 Cover and Front matter

  Bulletin of Symbolic Logic · 2024-03-01

  articleOpen access1st authorCorresponding
  PublisherOA PDFDOI

• Higher Recursion Theory and Set Theory

  Lecture notes series, Institute For Mathematical Sciences · 2024-10-24 · 2 citations

  book1st authorCorresponding
  PublisherDOI

• Normal measures on large cardinals

  Transactions of the American Mathematical Society Series B · 2023-02-03

  articleOpen accessSenior author

  The space of normal measures on a measurable cardinal is naturally ordered by the Mitchell ordering. In the first part of this paper we show that the Mitchell ordering can be linear on a strong cardinal where the Generalised Continuum Hypothesis fails. In the second part we show that a supercompact cardinal at which the Generalised Continuum Hypothesis fails may carry a very large number of normal measures of Mitchell order zero.

  PublisherOA PDFDOI

• Contexts

  Genders and sexualities in the social sciences · 2022-01-01 · 1 citations

  book-chapter1st authorCorresponding
  PublisherDOI

• Life-Times

  Genders and sexualities in the social sciences · 2022-01-01

  book-chapter1st authorCorresponding
  PublisherDOI

• Conclusion

  Genders and sexualities in the social sciences · 2022-01-01

  book-chapter1st authorCorresponding
  PublisherDOI

• The Scene/Quanzi

  Genders and sexualities in the social sciences · 2022-01-01

  book-chapter1st authorCorresponding
  PublisherDOI

• Being On-and-Off-line

  Genders and sexualities in the social sciences · 2022-01-01

  book-chapter1st authorCorresponding
  PublisherDOI

• BSL volume 28 issue 4 Cover and Front matter

  Bulletin of Symbolic Logic · 2022-12-01

  articleOpen access1st authorCorresponding

  An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

  PublisherOA PDFDOI

Recent grants

• Combinatorial set theory

  NSF · $177k · 2015–2020

• Combinatorial set theory

  NSF · $124k · 2007–2010

• Problems in Combinatorial Set Theory

  NSF · $100k · 2004–2007

• Combinatorial set theory

  NSF · $152k · 2011–2014

Frequent coauthors

• Laurent Bienvenu

  Laboratoire Bordelais de Recherche en Informatique

  584 shared

• Bradd Hart

  571 shared

• Paola Aquino

  University of Campania "Luigi Vanvitelli"

  571 shared

• Leonid Libkin

  570 shared

• Ernest Schimmerling

  Carnegie Mellon University

  367 shared

• Thierry Coquand

  University of Gothenburg

  363 shared

• Patricia Blanchette

  363 shared

• Andrea Cantini

  University of Florence

  363 shared

Education

• Ph.D., Mathematics

  Cambridge University