## MR4000000

Today, item number MR4000000 was added to MathSciNet. Hurray!  It is a paper on a local Jacquet-Langlands correspondence by Vincent Sécherre and Shaun Stevens, published in Compositio MathematicaContinue reading

## 3

After posting about Booker and Sutherland’s cool expression of 42 as a sum of three cubes, Drew Sutherland wrote to say that they found a new way to write 3 as a sum of three cubes:

$569936821221962380720^3 + (-569936821113563493509)^3 + (-472715493453327032)^3 = 3$.

As explained below, this is both amazing and predicted.  Some earlier computer attempts turned up no new solutions from what Mordell had already found.  Nevertheless, Heath-Brown expected an infinite number of solutions, and even estimated their density.  However, it wasn’t until Booker and Sutherland had cracked the much harder nuts 33 and 42 that this new solution for 3 was found.  It sure helps to have access to half a million cores!

Sutherland gave me permission to quote his message, which tells the latest story well.

[Note: I made minor edits, including some formatting to work in WordPress.] Continue reading

## 42

The number 42 is famous for its occurrence in The Hitchhiker’s Guide to the Galaxy. In 2032, Adele might come out with a new album with 42 as its title.  But today, the fame of the number 42 has to do with its representation as a sum of three cubes.  Continue reading

## Alex Eskin wins 2020 Breakthrough Prize in Mathematics

Alex Eskin has been awarded the 2020 Breakthrough Prize in Mathematics.  The short citation reads: For revolutionary discoveries in the dynamics and geometry of moduli spaces of Abelian differentials, including the proof of the “magic wand theorem” with Maryam Mirzakhani.  The full citation highlights, in particular, their paper “Invariant and stationary measures for the ${\rm SL}(2,\Bbb R)$ action on moduli space”, Publ. Math. Inst. Hautes Études Sci. 127 (2018), 95–324.  The review of it on MathSciNet is copied below.  Congratulations! Continue reading

## Everything in Its Right Place: An Expert Guide to Searching with MathSciNet, Part I

In the September issue of the Notices Amer. Math. Soc., I have a column that is Part I of a guide to using MathSciNet.  This part focuses on Publications Searches, which are the most common searches.  Part 2 will be in the October 2019 issue of the Notices.  It will cover Author Searches and Journals Searches.

## MathSciNet demos at ICIAM 2019

Besides free MathSciNet at ICIAM in Valencia, it is possible to have demos of how to use MathSciNet. Continue reading

## ICIAM Prize Winners

The winners of the ICIAM prizes were announced earlier. Here are links to their Author Profile Pages in MathSciNet.  At the opening ceremony for ICIAM, they received their prizes from Felipe VI of Spain, who then came out to the coffee break to meet with the mathematicians. Continue reading

## Math Reviews at ICIAM 2019

Mathematical Reviews will be at the ICIAM in Valencia next week, July 15-19.  Naturally, we will be at the AMS booth, which is at locations 7, 8, and 9 in the Exhibit Area.

The AMS is sponsoring some extras at the coffee break on Tuesday, July 16, from 16:30 to 17:00 in the Exhibit Area.  Stop by then – or any other time.

As with other important meetings, we have arranged for free access to MathSciNet at the conference sites and most of the affiliated hotels.  You won’t need to do anything special, other than to connect using the internet or wifi service of the conference sites or hotels.

We hope to see you in Valencia next week!