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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Subfactors and mathematical physics
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by David E. Evans and Yasuyuki Kawahigashi
Bull. Amer. Math. Soc. 60 (2023), 459-482
Published electronically: June 1, 2023


This paper surveys the long-standing connections and impact between Vaughan Jones’s theory of subfactors and various topics in mathematical physics, namely statistical mechanics, quantum field theory, quantum information, and two-dimensional conformal field theory.
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Bibliographic Information
  • David E. Evans
  • Affiliation: School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, Wales, United Kingdom
  • MR Author ID: 64435
  • Email:
  • Yasuyuki Kawahigashi
  • Affiliation: Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan
  • MR Author ID: 289166
  • ORCID: 0000-0002-7196-3416
  • Email:
  • Received by editor(s): January 1, 2900
  • Published electronically: June 1, 2023
  • Additional Notes: The second author was partially supported by JST CREST program JPMJCR18T6 and Grants-in-Aid for Scientific Research 19H00640 and 19K21832.

  • Dedicated: This paper is dedicated to the memory of Vaughan Jones
  • © Copyright 2023 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 60 (2023), 459-482
  • MSC (2020): Primary 46L37; Secondary 17B69, 81R10, 81T05, 81T40, 82B20, 82B23
  • DOI:
  • MathSciNet review: 4642115