Just a brief announcement that the AMS is now accepting (until June 30) nominations for the 2020 Joseph L. Doob Prize, which recognizes a single, relatively recent, outstanding research book that makes a seminal contribution to the research literature, reflects the highest standards of research exposition, and promises to have a deep and long-term impact in its area. The book must have been published within the six calendar years preceding the year in which it is nominated. Books may be nominated by members of the Society, by members of the selection committee, by members of AMS editorial committees, or by publishers. (I am currently on the committee for this prize.) A list of previous winners may be found here. The nomination procedure may be found at the bottom of this page.

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## 14 comments

Comments feed for this article

12 April, 2019 at 7:41 am

portonDo they accept self-published books? If yes, I want the prize.

12 April, 2019 at 1:43 pm

portonNobody replied, so I assume it means my book may be considered for the competition. Please read it and nominate. My book is easy to read for every mathematician. Such discoveries are done just a few times in tens years. Read online http://www.mathematics21.org/algebraic-general-topology.html

13 April, 2019 at 4:46 am

portonIf anyone decides to nominate me, I propose you to include like the following:

You can contact me (porton@narod.ru) for more information and for possible quotes on how to describe my book. One additional quote:

12 April, 2019 at 6:20 pm

Kociątko MiauczenieńskiI would like to nominate my own book “Quantum Ergodicity, Approximate Cohomology and Their Number-Theoretic Applications: A Homotopical Perspective” to appear in the Annals of Mathematics Studies (available for free on my website) in which I detail in a self-contained way the foundations of (quantum) ergodicity and its links to the equidistribution of the primes (as developed in the seminal works of Venkatesh et al.) as well as more recent work related to approximate cohomology by Kazdhan and his collaborators. The novel component of my book is the use of homotopy theory to control nonlinearities outside the grasp of the usual (co)homological machinery rather than the old-fashioned analytic machinery that obscures the deeper algebro-topological structure of additive-combinatorial and related number-theoretic problems once we look at their categorifications and can derive painlessly many of the quantitative results present in the literature.

15 April, 2019 at 11:01 am

AnonymousApril Fools’ Day was a while ago…

13 April, 2019 at 4:57 am

Please nominate me for Doob Prize in matheamatics | Victor Porton's Math Blog[…] be easily read by every mathematician) for Doob Prize. All necessary information can be found at this page at Terry Tao’s blog and subcomments. And yes, my book is worth […]

13 April, 2019 at 3:56 pm

AnonymousI was going to ask commenters here if they had any particularly notable books to recommend. I’m not looking to make any nominations but am just wondering what the current universe of potential candidates for this prize might look like. But, the self-nominations may have pre-empted that question.

14 April, 2019 at 6:55 am

AnonymousTake a look at the monographs in the series where previous winners have appeared (Grundlehren der mathematischen Wissenschaften, AMS Colloquium Publications) or other series dedicated to high-quality mathematical research books (AMS Mathematical Surveys and Monographs, Cambridge New Mathematical Monographs etc.). Some of the more advanced texts in “Cambridge Studies in Advanced Mathematics,” AMS “University Lecture Series,” and Springer “Graduate Texts in Mathematics” sit between what one would call a textbook versus a research monograph and are possibly within the scope of this award as well. But very few of these texts exhibit both the remarkable contribution to the research literature in distilling an active research into the form of an accessible book form and the masterful exposition of previous winners.

If I had to choose some of my recent favorites, then they would be quite biased toward my own research interests. The committee for this award (like most others) comprises mathematicians of disparate backgrounds to reduce these sorts of person biases, so I will abstain from any particular recommendations.

15 April, 2019 at 7:18 pm

AnonymousThanks. I looked at some of the previous years’ winners and that gave me a decent picture.

15 April, 2019 at 11:23 am

AnonymousHigh-dimensional probability by Vershynin

15 April, 2019 at 4:16 pm

AnonymousThat looks like a good book but not a research monograph. It’s about known results. The final draft is on the author’s site if anyone wants a download:

You might also like Hopcroft et al’s book-in-progress:

16 April, 2019 at 7:51 pm

portonIs it much easier to get Doob prize that say Nobel prize, Fields medal, Abel prize?

17 April, 2019 at 9:45 am

AnonymousIt is “easier” in some abstract sense, but you’re in no danger of getting any of these kinds of prizes. People seem reluctant to say it, so I will: you’re making a fool of yourself. I have not studied your work, but major mathematical prizes are given only to people where there is a broad consensus in the mathematical community that the work is outstanding. You seem to be hoping that you can get such a prize and as a consequence have your work recognized, but this is very much putting the cart before the horse.

I suggest working on publishing your results in mathematical journals. If it is genuinely important, then this is the first step in getting people to notice it.

17 April, 2019 at 10:57 pm

testI nominate the book Geometric Geometry.