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Over on the polymath blog, I’ve posted (on behalf of Dinesh Thakur) a new polymath proposal, which is to explain some numerically observed identities involving the irreducible polynomials in the polynomial ring over the finite field of characteristic two, the simplest of which is

(expanded in terms of Taylor series in ). Comments on the problem should be placed in the polymath blog post; if there is enough interest, we can start a formal polymath project on it.

Chantal David, Andrew Granville, Emmanuel Kowalski, Phillipe Michel, Kannan Soundararajan, and I are running a program at MSRI in the Spring of 2017 (more precisely, from Jan 17, 2017 to May 26, 2017) in the area of analytic number theory, with the intention to bringing together many of the leading experts in all aspects of the subject and to present recent work on the many active areas of the subject (e.g. the distribution of the prime numbers, refinements of the circle method, a deeper understanding of the asymptotics of bounded multiplicative functions (and applications to Erdos discrepancy type problems!) and of the “pretentious” approach to analytic number theory, more “analysis-friendly” formulations of the theorems of Deligne and others involving trace functions over fields, and new subconvexity theorems for automorphic forms, to name a few). Like any other semester MSRI program, there will be a number of workshops, seminars, and similar activities taking place while the members are in residence. I’m personally looking forward to the program, which should be occurring in the midst of a particularly productive time for the subject. Needless to say, I (and the rest of the organising committee) plan to be present for most of the program.

Applications for Postdoctoral Fellowships and Research Memberships for this program (and for other MSRI programs in this time period, namely the companion program in Harmonic Analysis and the Fall program in Geometric Group Theory, as well as the complementary program in all other areas of mathematics) remain open until Dec 1. Applications are open to everyone, but require supporting documentation, such as a CV, statement of purpose, and letters of recommendation from other mathematicians; see the application page for more details.

Chantal David, Andrew Granville, Emmanuel Kowalski, Phillipe Michel, Kannan Soundararajan, and I are running a program at MSRI in the Spring of 2017 (more precisely, from Jan 17, 2017 to May 26, 2017) in the area of analytic number theory, with the intention to bringing together many of the leading experts in all aspects of the subject and to present recent work on the many active areas of the subject (the discussion on previous blog posts here have mostly focused on advances in the study of the distribution of the prime numbers, but there have been many other notable recent developments too, such as refinements of the circle method, a deeper understanding of the asymptotics of bounded multiplicative functions and of the “pretentious” approach to analytic number theory, more “analysis-friendly” formulations of the theorems of Deligne and others involving trace functions over fields, and new subconvexity theorems for automorphic forms, to name a few). Like any other semester MSRI program, there will be a number of workshops, seminars, and similar activities taking place while the members are in residence. I’m personally looking forward to the program, which should be occurring in the midst of a particularly productive time for the subject. Needless to say, I (and the rest of the organising committee) plan to be present for most of the program.

Applications for Postdoctoral Fellowships, Research Memberships, and Research Professorships for this program (and for other MSRI programs in this time period, namely the companion program in Harmonic Analysis and the Fall program in Geometric Group Theory, as well as the complementary program in all other areas of mathematics) have just opened up today. Applications are open to everyone (until they close on Dec 1), but require supporting documentation, such as a CV, statement of purpose, and letters of recommendation from other mathematicians; see the application page for more details.

*[Once again, some advertising on behalf of my department, following on a similar announcement in the previous three years.]*

*The program of study leads to a Masters degree in Mathematics in four years.*

The National Academy of Sciences award for Scientific Reviewing is slated to be given in Mathematics (understood to include Applied Mathematics) in April 2013. The award cycles among many fields, and the last (and only) time it was given in Mathematics was 1995. This year, I am on the prize committee for this award and am therefore circulating a call for nominations.

This award is intended “to recognize authors whose reviews have synthesized extensive and difficult material, rendering a significant service to science and influencing the course of scientific thought”. As such, it is slightly different in focus from most awards in mathematics, which tend to focus more on original research contributions than on synthesis and exposition, which in my opinion is an equally important component of mathematical research.

In 1995, this prize was awarded to Rob Kirby “For his list of problems in low-dimensional topology and his tireless maintenance of it; several generations have been greatly influenced by Kirby’s list.”.

Instructions for how to submit nominations can be found at this page. Nominees and awardees do not need to be members of the Academy, and can be based outside of the United States. The award comes with a medal and a $10,000 prize. The deadline for nominations is 1 October 2012.

It has been a little over two weeks now since the protest site at thecostofknowledge.com was set up to register declarations of non-cooperation with Reed Elsevier in protest of their research publishing practices, inspired by this blog post of Tim Gowers. Awareness of the protest has certainly grown in these two weeks; the number of signatories is now well over four thousand, across a broad array of academic disciplines, and the protest has been covered by many blogs and also the mainstream media (e.g. the Guardian, the Economist, Forbes, etc.), and even by Elsevier stock analysts. (Elsevier itself released an open letter responding to the protest here.) My interpretation of events is that there was a significant amount of latent or otherwise undisclosed dissatisfaction already with the publishing practices of Elsevier (and, to a lesser extent, some other commercial academic publishers), and a desire to support alternatives such as university or society publishers, and the more recent open access journals; and that this protest (and parallel protests, such as the movement to oppose the Research Works Act) served to drive these feelings out into the open.

The statement of the protest itself, though, is rather brief, reflecting the improvised manner in which the site was created. A group of mathematicians including myself therefore decided to write and sign a more detailed explanation of why we supported this protest, giving more background and references to support our position. The 34 signatories are Scott Aaronson, Douglas N. Arnold, Artur Avila, John Baez, Folkmar Bornemann, Danny Calegari, Henry Cohn, Ingrid Daubechies, Jordan Ellenberg, Matthew Emerton, Marie Farge, David Gabai, Timothy Gowers, Ben Green, Martin Grotschel, Michael Harris, Frederic Helein, Rob Kirby, Vincent Lafforgue, Gregory F. Lawler, Randall J. LeVeque, Laszlo Lovasz, Peter J. Olver, Olof Sisask, Richard Taylor, Bernard Teissier, Burt Totaro, Lloyd N. Trefethen, Takashi Tsuboi, Marie-France Vigneras, Wendelin Werner, Amie Wilkinson, Gunter M. Ziegler, and myself. (Note that while Daubechies is current president of the International Mathematical Union, Lovasz is a past president, and Grotschel is the current secretary, they are signing this letter as individuals and not as representatives of the IMU. Similarly for Trefethen and Arnold (current and past president of SIAM).)

Of course, the 34 of us do not presume to speak for the remaining four thousand signatories to the protest, but I hope that our statement is somewhat representative of the position of many of its supporters.

Further discussion of this statement can be found at this blog post of Tim Gowers.

EDIT: I think it is appropriate to quote the following excerpt from our statement:

All mathematicians must decide for themselves whether, or to what extent, they wish to participate in the boycott. Senior mathematicians who have signed the boycott bear some responsibility towards junior colleagues who are forgoing the option of publishing in Elsevier journals, and should do their best to help minimize any negative career consequences.

Whether or not you decide to join the boycott, there are some simple actions that everyone can take, which seem to us to be uncontroversial:

- Make sure that the final versions of all your papers, particularly new ones, are freely available online, ideally both on the arXiv and on your home page.
- If you are submitting a paper and there is a choice between an expensive journal and a cheap (or free) journal of the same standard, then always submit to the cheap one.

A few days ago, inspired by this recent post of Tim Gowers, a web page entitled “the cost of knowledge” has been set up as a location for mathematicians and other academics to declare a protest against the academic publishing practices of Reed Elsevier, in particular with regard to their exceptionally high journal prices, their policy of “bundling” journals together so that libraries are forced to purchase subscriptions to large numbers of low-quality journals in order to gain access to a handful of high-quality journals, and their opposition to the open access movement (as manifested, for instance, in their lobbying in support of legislation such as the Stop Online Piracy Act (SOPA) and the Research Works Act (RWA)). [These practices have been documented in a number of places; this wiki page, which was set up in response to Tim’s post, collects several relevant links for this purpose. Some of the other commercial publishers have exhibited similar behaviour, though usually not to the extent that Elsevier has, which is why this particular publisher is the focus of this protest.] At the protest site, one can publicly declare a refusal to either publish at an Elsevier journal, referee for an Elsevier journal, or join the board of an Elsevier journal.

(In the past, the editorial boards of several Elsevier journals have resigned over the pricing policies of the journal, most famously the board of Topology in 2006, but also the Journal of Algorithms in 2003, and a number of journals in other sciences as well. Several libraries, such as those of Harvard and Cornell, have also managed to negotiate an unbundling of Elsevier journals, but most libraries are still unable to subscribe to such journals individually.)

For a more thorough discussion as to why such a protest is warranted, please see Tim’s post on the matter (and the 100+ comments to that post). Many of the issues regarding Elsevier were already known to some extent to many mathematicians (particularly those who have served on departmental library committees), several of whom had already privately made the decision to boycott Elsevier; but nevertheless it is important to bring these issues out into the open, to make them commonly known as opposed to merely mutually known. (Amusingly, this distinction is also of crucial importance in my favorite logic puzzle, but that’s another story.) One can also see Elsevier’s side of the story in this response to Tim’s post by David Clark (the Senior Vice President for Physical Sciences at Elsevier).

For my own part, though I have sent about 9% of my papers in the past to Elsevier journals (with one or two still in press), I have now elected not to submit any further papers to these journals, nor to serve on their editorial boards, though I will continue refereeing some papers from these journals. As of this time of writing, over five hundred mathematicians and other academics have also signed on to the protest in the four days that the site has been active.

Admittedly, I am fortunate enough to be at a stage of career in which I am not pressured to publish in a very specific set of journals, and as such, I am not making a recommendation as to what anyone else should do or not do regarding this protest. However, I do feel that it is worth spreading awareness, at least, of the fact that such protests exist (and some additional petitions on related issues can be found at the previously mentioned wiki page).

*[Once again, some advertising on behalf of my department, following on a similar announcement in the previous two years.]*

*The program of study leads to a Masters degree in Mathematics in four years.*

*[Some advertising on behalf of my department. The inaugural 2009 scholarship was announced on this blog last year. – T.]*

The UCLA Math Undergraduate Merit Scholarship provides for full tuition, and a room and board allowance for 4 years. In addition, scholarship recipients follow an individualized accelerated program of study, as determined after consultation with UCLA faculty. *[For instance, this year’s scholarship recipient is currently taking my graduate real analysis class – T.] *The program of study leads to a Masters degree in Mathematics in four years.

*[A little bit of advertising on behalf of my maths dept. Unfortunately funding for this scholarship was secured only very recently, so the application deadline is extremely near, which is why I am publicising it here, in case someone here may know of a suitable applicant. – T.]*

UCLA Mathematics has launched a new scholarship to be granted to an entering freshman who has an exceptional background and promise in mathematics. The UCLA Math Undergraduate Merit Scholarship provides for full tuition, and a room and board allowance. To be considered for fall 2010, candidates must apply on or before November 30, 2009. Details and online application for the scholarship are available here.

### Eligibility Requirements:

- 12th grader applying to UCLA for admission in Fall of 2010.
- Outstanding academic record and standardized test scores.
- Evidence of exceptional background and promise in mathematics, such as: placing in the top 25% in the U.S.A. Mathematics Olympiad (USAMO) or comparable (International Mathematics Olympiad level) performance on a similar national competition.
- Strong preference will be given to International Mathematics Olympiad medalists.

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