Math News July 20th, 2009
Patrick Stein

An aggregation of some of the math blogs that I follow.

Math News (1 - 25 of about 3145) (xml) (Feedlist)


An ideal hypothetical listKowalski
(29.01.2015 14:00h)

A few months ago, for purposes that will remain clouded in mystery for the moment, I had the occasion to compose an ideal list of rare books of various kinds, which do not necessarily exist. Here is what I came up with: i “The Elements of the Most Noble game of Whist; elucidated and discussed in all details”, by A. Bandersnatch, Duke Dimitri, N. Fujisaki, A. Grothendieck, Y. Grünfiddler, J. Hardy, Jr., B. Kilpatrick and an Anonymous Person. ii “Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom funften Grade”, by F. Klein; with barely legible annotations and initialed ... [Link]

More conferencesKowalski
(29.01.2015 13:56h)

It seems that most of my posts these days are devoted to announcing conferences in which I am involved as organizer… Indeed, there are two coming up this year actually three, if I count the MSRI summer school : 1 May 14 and 15, we will have the Number Theory Days 2015 at EPF Lausanne; the speakers are Gaetan Chenevier, Henryk Iwaniec, Alena Pirutka, Chris Skinner and Zhiwei Yun; this is co-organized by Ph. Michel and myself. 2 Immediately afterward, from May 18 to 22, comes a conference at FIM, co-organized by H. Iwaniec, Ph. Michel and myself, with the ... [Link]

Happy Second Birthday LilyScott
(21.01.2015 22:07h)

Two years ago, I blogged when Lily was born. Today I can blog that she runs, climbs, swims sort of , constructs 3-word sentences, demands chocolate cake, counts to 10 in both English and Hebrew, and knows colors, letters, shapes, animals, friends, relatives, the sun, and the moon. To all external appearances she’s now conscious as you and I are and considerably more so than the cat in the photo . But the most impressive thing Lily does—the thing that puts her far beyond where her parents were at the same age, in a few areas—is her use of the ... [Link]

BQP/LHC collisionScott
(15.01.2015 21:25h)

This afternoon, I gave my usual spiel about Quantum Computing and the Limits of the Efficiently Computable at the CERN Colloquium. If you watched the webcast of the Higgs boson discovery announcement a couple years ago, it was in the same auditorium they used for that, except this time it was less packed. Beforehand, Dana and I got to join a tour of the CMS detector at the Large Hadron Collider—one of the very last tours, before CMS shuts down as ATLAS already has to get ready for collisions at the LHC’s new, higher energy. Considered as eye candy, I’d ... [Link]

Quantum computing news items by reader request Scott
(12.01.2015 17:41h)

Within the last couple months, there was a major milestone in the quest to build a scalable quantum computer, and also a major milestone in the quest to figure out what you would do with a quantum computer if you had one. As I’ve admitted many times, neither of those two quests is really the reason why I got into quantum computing—I’m one of the people who would still want to study this field, even if there were no serious prospect either of building a quantum computer or of doing anything useful with it for a thousand years—but for some ... [Link]

Fenchel-Nielsen CoordinatesCharles Siegel
(06.01.2015 07:00h)

Welcome back, and hope all you readers had a good 2014 and particularly good holidays and new year’s celebrations, if you do those things. Today, we’re going to keep on the road to producing the moduli space of curves, by nailing down some more hyperbolic geometry. Secretly knowing the answer to what the dimension of the moduli space is over the reals, it’s , I know how many coordinates we need to construct. Half of them come immediately from the discussion last time of pairs of pants: Theorem: For any triple of positive numbers , there exists a unique, up ... [Link]

What I believeScott
(30.12.2014 16:30h)

Two weeks ago, prompted by a commenter named Amy, I wrote by far the most personal thing I’ve ever made public—what’s now being referred to in some places as just “comment 171.” My thinking was: I’m giving up a privacy that I won’t regain for as long as I live, opening myself to ridicule, doing the blog equivalent of a queen-and-two-rook sacrifice. But at least—and this is what matters—no one will ever again be able to question the depth of my feminist ideals. Not after they understand how I clung to those ideals through a decade when I wanted to ... [Link]

Quantum Complexity Theory Student Project Showcase 3Scott
(26.12.2014 06:33h)

Merry Christmas belatedly ! This year Quanta Claus has brought us eight fascinating final project reports from students in my 6.845 Quantum Complexity Theory class, covering everything from interactive proofs to query and communication complexity to quantum algorithms to quantum gates and one project even includes a web-based demo you can try! . Continuing in the tradition of the two previous showcases, I’m sharing the reports here; some of these works might also be posted to the arXiv and/or submitted to journals. Thanks so much to the students who volunteered to participate in the showcase, and to all the students ... [Link]

Long gaps between primesTerence Tao
(26.12.2014 04:50h)

Kevin Ford, Ben Green, Sergei Konyagin, James Maynard, and I have just uploaded to the arXiv our paper “Long gaps between primes“. This is a followup work to our two previous papers discussed in this previous post , in which we had simultaneously shown that the maximal gap between primes up to exhibited a lower bound of the shape for some function that went to infinity as ; this improved upon previous work of Rankin and other authors, who established the same bound but with replaced by a constant. Again, see the previous post for a more detailed discussion. In ... [Link]

Long gaps between primesTerence Tao
(17.12.2014 10:25h)

Kevin Ford, Ben Green, Sergei Konyagin, James Maynard, and I have just uploaded to the arXiv our paper “Long gaps between primes“. This is a followup work to our two previous papers discussed in this previous post , in which we had simultaneously shown that the maximal gap between primes up to exhibited a lower bound of the shape for some function that went to infinity as ; this improved upon previous work of Rankin and other authors, who established the same bound but with replaced by a constant. Again, see the previous post for a more detailed discussion. In ... [Link]

Hyperbolic SurfacesCharles Siegel
(17.12.2014 08:55h)

Ok, with the hyperbolic plane and its metric and geodesics out of the way, we can start getting into some surface theory. Definition: A hyperbolic surface of genus g is a topological surface of genus g along with a metric that is locally isometric to the hyperbolic plane. Equivalently, it has a Riemannian metric of constant curvature -1. There are some distinguished types of curves on a hyperbolic surface, and I don’t just mean the geodesics though we’ll relate them to geodesics . This is going to be a definition heavy post, but hey, we’re doing a construction, this tends ... [Link]

The Turing movieScott
(17.12.2014 04:36h)

Last week I finally saw The Imitation Game, the movie with Benedict Cumberbatch as Alan Turing. OK, so for those who haven’t yet seen it: should you? Here’s my one paragraph summary: imagine that you told the story of Alan Turing—one greatest triumphs and tragedies of human history, needing no embellishment whatsoever—to someone who only sort-of understood it, and who filled in the gaps with weird fabrications and Hollywood clichés. And imagine that person retold the story to a second person, who understood even less, and that that person retold it to a third, who understood least of all, but ... [Link]

Walter LewinScott
(10.12.2014 17:25h)

Yesterday I heard the sad news that Prof. Walter Lewin, age 78—perhaps the most celebrated physics teacher in MIT’s history—has been stripped of his emeritus status and barred from campus, and all of his physics lectures removed from OpenCourseWare, because an internal investigation found that he had been sexually harassing students online. I don’t know anything about what happened beyond the terse public announcements, but those who do know tell me that the charges were extremely serious, and that “this wasn’t a borderline case.” I’m someone who feels that sexual harassment must never be tolerated, neither here nor anywhere else. ... [Link]

Random matrices have simple spectrumTerence Tao
(08.12.2014 06:01h)

Van Vu and I have just uploaded to the arXiv our paper “Random matrices have simple eigenvalues“. Recall that an Hermitian matrix is said to have simple eigenvalues if all of its eigenvalues are distinct. This is a very typical property of matrices to have: for instance, as discussed in this previous post, in the space of all Hermitian matrices, the space of matrices without all eigenvalues simple has codimension three, and for real symmetric cases this space has codimension two. In particular, given any random matrix ensemble of Hermitian or real symmetric matrices with an absolutely continuous distribution, we ... [Link]

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