This is a guest post by Elinor, who’s been collecting her favourite maths art from the month of March.
March is a month of change in the UK: the days get longer, the temperature is slowly creeping upwards, and we start to believe that spring may be arriving. Through this month of change I have been really enjoying all the #MathArtMarch posts that have been appearing on Mathstodon and Bluesky.
Here’s a round-up of some mathematical and maths-related news that happened in March 2025 that we didn’t otherwise cover on the site.
Here’s a round-up of a few news items from the last couple of months not otherwise covered on the site.
Here’s a round-up of some news stories from the last two months of 2024, (mostly) not otherwise covered here on the Aperiodical.
At the start of December, John Carlos Baez shared on Mathstodon that the moving sofa problem may have been solved – the question of the largest possible shape you can fit around a 2D corner. For many years, a shape called Gerver’s sofa has been thought to be optimal, but an ArXiV paper from 29th November claims to have proved it is. More context in this blog post by Dan Romnik.
Depending on what you consider to be maths news, there were also reports that mathematicians have discovered a new type of cardinal numbers and a new kind of infinity.
And depending on what you consider to be good news, Terry Tao has also announced the creation of Renaissance Philanthropy and XTX Markets’ AI for Math fund, supporting projects that apply AI and machine learning to mathematics, with a focus on automated theorem proving. The deadline for initial expressions of interest is Jan 10, 2025.
Computer algebra system PARI/GP has been awarded a CNRS prize “Prix science ouverte du logiciel libre de la recherche” (Open Science Awards for Free Software for Research). The awards highlight exceptional or very promising achievements, which can inspire the scientific community as well as society as a whole. An estimated user community of 25,000 people use PARI/GP regularly for research and hobbyist number theory. (via Rémi Eismann on SeqFan)
The other big news from last December was Hannah Fry’s appointment as Cambridge’s new Professor of the Public Understanding of Mathematics. She joined the Department of Applied Mathematics and Theoretical Physics (DAMTP) on 1st January, and the role will involve communicating to diverse audiences, including with people not previously interested in maths. Fry follows in the footsteps of the late John Barrow, who informally took on the same role for much of his distinguished career.
“Communication is not an optional extra: if you are creating something that is used by, or interacts with members of the public or the world in general, then I think it’s genuinely your moral duty to engage the people affected by it. I’d love to build and grow a community around excellence in mathematical communication at Cambridge – so that we’re really researching the best possible methods to communicate with people.”
– Hannah Fry
From now until 11th February, Young Researcher applications for the Heidelberg Laureate Forum 2025 are open to any undergraduate/pre-master, PhD or PostDoc researchers who would like to join the highest level of mathematical laureates alongside hundreds of other researchers in maths and computer science for a week of talks, workshops and networking in the beautiful city of Heidelberg in September.
The UK Government have announced the latest list of honours, and we’ve taken a look for the particularly mathematical entries. Here is the selection for this year – if you spot any more, let us know in the comments and we’ll add to the list.
Over at the Finite Group, members (including me and Katie) have been discussing what in maths news has excited us this year. Here’s a summary.
Brayden Casella and fellow authors claimed that there exists a non-terminating game of Beggar-My-Neighbour, solving one of John H. Conway’s anti-Hilbert problems. Beggar-My-Neighbour is a card game similar to War in which two players deal cards onto a shared pile, aiming to win all the cards into their hand. Matthew Scroggs made a bot: Beggar-my-neighbour forever. In other game theory news, Othello is solved.
Jineon Baek claims a resolution to the moving sofa problem. This considers a 2D version of turning a sofa around an L-shaped corner, attempting to find a shape of largest area. (There are some nice animations at Wolfram MathWorld.) Baek offers a proof that the shape above, created by Joseph L. Gerver in 1992, is optimal.
The Great Internet Mersenne Prime Search (GIMPS) announced a new Mersenne prime: \(2^{136,279,841}-1\). You can get maximum excitement about this news from Ayliean on TikTok, and join in the fun by signing up to record yourself saying a chunk of the prime for the Say The Prime project.
One thing that’s new, apart from the prime itself, is that the work was done on a network of GPUs, ending “the 28-year reign of ordinary personal computers finding these huge prime numbers”. Also this was the first GIMPS prime discovered using a probable prime test, so the project chose to use the date the prime was verified by the Lucas-Lehmer primality test as the discovery date. In other computation news, the fifth Busy Beaver number has been found, as well as 202 trillion digits of pi.
A new elliptic curve was discovered, breaking a record set in 2006 and pushing at the limits of current methods for finding them. Here’s some background on the curves and some of the characters involved.
This year also saw a proof of the geometric Langlands conjecture, and this article explains why this is such a big deal.
We’re all still excited about the discovery of the aperiodic monotiles, and the result passed peer review and was published this year.
And finally, it may not be top research news, but 2024 was also the year that Colin Beveridge started his Double Maths First Thing newsletter. Subscribe to the newsletter here, and check out the archive of past issues here at The Aperiodical.
Finite Group is a friendly online mathematical discussion group which is free to join, and members can also pay to access monthly livestreams (next one Friday 20th December 2024 at 8pm GMT and recorded for viewing later). The content isn’t at the level of the research mathematics in this post, but we try to have a fun time chatting about interesting maths. Join us!
Here’s a roundup of some of the maths-related news from this month we didn’t otherwise cover here!