Category Archives: Exceptional reviews

An exceptional review about inner model theory

Today I’m making two blog posts about exceptional reviews: one review of a book and one of a paper.  This post is about Grigor Sargsyan‘s exceptional review of a paper:  John Steel‘s chapter, An outline of inner model theory, in the … Continue reading

Posted in Exceptional reviews | Leave a comment

An exceptional review about expansion in groups

Today I’m making two blog posts about exceptional reviews: one review of a book and one of a paper. This post is about Harald Helfgott‘s review of Terry Tao‘s book, Expansion in finite simple groups of Lie type, published by the … Continue reading

Posted in Exceptional reviews | 1 Comment

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 … Continue reading

Posted in Exceptional reviews | Leave a comment

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 … Continue reading

Posted in Exceptional reviews | Leave a comment

Geometry and Computational Complexity Theory

Mathematics flourishes when ideas from one area of mathematics can be used in another area.  For a long time (certainly since Descartes), algebra has been a great asset to geometry.  In return, geometry has been helpful to algebra, for instance … Continue reading

Posted in Exceptional reviews | Leave a comment

David Goss reviews compactifications of Drinfeld period domains

Here is another excellent review, this time from David Goss.  In his review of a paper by Pink and Schieder, Goss gives not just a good description of what’s in the paper, but also tells us about where the results come … Continue reading

Posted in Exceptional reviews | Tagged , , , | Leave a comment

Ron Solomon reviews recent work on finite simple groups

Ron Solomon has been quite involved in the study of finite simple groups and their classification.  He is one of the coauthors of the monumental book series on the subject, which starts with The Classification of the Finite Simple Groups.  Now … Continue reading

Posted in Exceptional reviews | Leave a comment

Zariski surgically dissecting a flawed proof

The problem of bad science has been in the news recently.  See, for instance this article in the New York Times, the website Retraction Watch, or this retracted article in Science.  In any of the sciences, researchers can get a sense that … Continue reading

Posted in Exceptional reviews | Leave a comment

MathSciNet has book reviews

Most of the reviews in MathSciNet are for articles, primarily from journals, but also from proceedings volumes and other collections.  Did you know that we also review books?  A book-length treatment of a subject allows the author to stretch out … Continue reading

Posted in Exceptional reviews | 2 Comments

An exceptional review of a paper on algebraic geometry, that touches on a host of topics

There are many ways for an article to be exceptional.  A paper by Goulden, Jackson, and Vakil, introduces an idea (double Hurwitz numbers), establishes some properties, conjectures some more, and connects the idea with several areas of mathematics.  A great review of this … Continue reading

Posted in Exceptional reviews | Leave a comment