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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.


Algebraic hypersurfaces
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by János Kollár PDF
Bull. Amer. Math. Soc. 56 (2019), 543-568 Request permission


We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry. At the end we formulate the main recent results and state the most important open questions.
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Additional Information
  • János Kollár
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000
  • MR Author ID: 104280
  • Email:
  • Received by editor(s): May 29, 2018
  • Published electronically: January 28, 2019
  • Additional Notes: Partial financial support was provided by the NSF under grant number DMS-1362960 and by the Nemmers Prize of Northwestern University.
  • © Copyright 2019 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 56 (2019), 543-568
  • MSC (2010): Primary 14-02, 14J70; Secondary 14M20, 14E08, 14N25
  • DOI:
  • MathSciNet review: 4007161