Jonathan Borwein

Jonathan Borwein passed away on August 1st.  He was a prolific mathematician, with 427 publications as of this writing.  He was also quite broad, publishing in number theory, operations research, calculus of variations, and many other subjects.  Many people knew him for his book with his brother PeterPi and the AGM.  His most cited work in MathSciNet is his paper “On projection algorithms for solving convex feasibility problems” with Heinz Bauschke (the review is reproduced below).  Borwein was also known for promoting experimental mathematics, and was the founding director of the Centre for Experimental and Constructive Mathematics at Simon Fraser University.  But many people knew Borwein’s mathematics directly as a mentor or as a collaborator.  He had many graduate students and 163 collaborators on published papers.   Continue reading

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MSC2020 – Mathematics Subject Classification update


Announcement of the plan to revise the Mathematics Subject Classification

Mathematical Reviews (MR) and zbMATH cooperate in maintaining the Mathematics Subject Classification (MSC), which is used by these reviewing services, publishers, and others to categorize items in the mathematical sciences literature. The current version, MSC2010, consists of 63 areas classified with two digits refined into over 5000 three- and five-digit classifications. Details of MSC2010 can be found at or and

MSC2010 was a revision of the 2000 subject classification scheme developed through the collaborative efforts of the editors of zbMATH and MR with considerable input from the community. zbMATH and MR have initiated the process of revising MSC2010 with an expectation that the revision will be used beginning in 2020. Continue reading

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Mathematics Genealogy Project at 200K

Math Genealogy Project records 200,000 PhDs in Mathematics

The Mathematics Genealogy Project hit the 200,000th entry in their collection of data on PhDs in mathematics.  Congratulations!   Continue reading

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An exceptional review of a paper by Bhatt and Scholze on étale topology

Another great review.  Here Pieter Belmans reviews a paper by Bhatt and Scholze on étale topology.  Before describing the authors’ work, Belmans tells us where étale topology comes from and why some news ideas might be necessary.  He then gives a quick description of what Bhatt and Scholze are doing and why it is a good thing.  Once the history and context are in place, Belmans goes through the contents of the paper, with plenty of comments to help the reader.  He concludes by giving a reference to the Stacks Project, where you can find out lots more about pro-étale cohomology. Continue reading

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Update Your Author Profile and receive a free AMS eBook

Update your Author Profile, get a free AMS eBookAuthors may update their own author profiles with the native script version of their name, a personal photo, personal email, and URL. For a limited time, authors who update their profiles will receive a free AMS eBook. Complete details will be emailed to you when you save your updated profile. Continue reading

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An exceptional review of Tensor Categories

I have fallen behind in my posts about exceptional reviews in MathSciNet.  Let’s try to catch up with an excellent review of the book Tensor Categories by Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, and Victor Ostrik.  The review is written by Julien Bichon, who has written (so far) over 60 reviews.  There are several very good aspects of Bichon’s review.  One can immediately see that it is thorough.  Beyond that, Bichon has organized the review nicely, telling the reader first what the book is about (and also what it is not about) and why it might be interesting.  He also explains what the expectations on the reader are.  Bichon then provides a chapter-by-chapter discussion of the contents, calling out the highlights and pointing out where helpful examples occur.  The review finishes with a summary and a recommendation. Continue reading

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Happy Birthday, Otto Neugebauer

Otto Neugebauer

Without Otto Neugebauer, there would be no MathSciNet.  He was the founder of both Zentralblatt für Mathematik (1931) and Mathematical Reviews (1940).   Neugebauer lived an extraordinary life during extraordinary times.  He knew and worked with some of the great mathematicians of the twentieth century.  Neugebauer also left an impressive legacy as a historian of mathematics, with a specialization in ancient mathematics.  And Neugebauer was born on May 26, 1899 in Innsbruck, Austria – so it is time to celebrate his life and his legacy.  Continue reading

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Mathematical Moments

Mathematical MomentsThe AMS Public Awareness office has a wonderful series of short bursts of mathematics, which are available as posters titled “Mathematical Moments“.  Mike Breen comes up with the topics and writes the texts for the posters.  He also has a knack for finding clever titles.  Many of the posters have to do with some piece of mathematics that has relevance for everyday life.  All of them portray interesting, usually deep mathematics in a way that most non-mathematicians can appreciate.  They are also very popular in Mathematics Departments.   In what follows, I want to highlight a few of the Mathematical Moments and use MathSciNet to dig more deeply into their subjects.  Continue reading

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Happy Birthday, Claude Shannon

Claude Shannon is famous among mathematicians and computer scientists for his remarkable work, particularly in the realm of  information theory.  Of particular importance is Shannon’s notion of information entropy, often referred to now as “Shannon entropy”.  He launched the theory in 1948 in a remarkable paper titled, “A Mathematical Theory of Communication“.   Below, I will reproduce Joseph Doob‘s review of Shannon’s famous paper.   Continue reading

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MathOverflow and MathSciNet

MathSciNet logoMathOverflow logo

Earlier, I posted about adding MR links to Wikipedia pages.  The point of that post was that it was fairly simple to add a link to MathSciNet while editing a Wikipedia page.  In March 2014, Scott Morrison, a MathOverflow user (and moderator), created an add-on that used MathSciNet to verify and insert a reference in a post to MathOverflow.  You can read about it on MathOverflow here.  Now, MathOverflow has made a version of Morrison’s citation helper a built-in feature of the site.   Continue reading

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