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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.


Rectangles, curves, and Klein bottles
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by Richard Evan Schwartz HTML | PDF
Bull. Amer. Math. Soc. 59 (2022), 1-17 Request permission


In this article I will survey some results about inscribing triangles and quadrilaterals in Jordan curves. I will focus on the recent result of Josh Greene and Andrew Lobb, which says that for any smooth embedded loop $C$ and any aspect ratio $\lambda$, there are four points in $C$ which make the vertices of a rectangle of aspect ratio $\lambda$.
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Additional Information
  • Richard Evan Schwartz
  • Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island
  • MR Author ID: 605575
  • Received by editor(s): April 20, 2021
  • Published electronically: September 13, 2021
  • Additional Notes: Supported by N.S.F. Research Grant DMS-1204471
  • © Copyright 2021 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 59 (2022), 1-17
  • MSC (2020): Primary 51M04
  • DOI:
  • MathSciNet review: 4340824