A conversation about mathematics inspired by Lewis Carroll’s Game of Logic. Presented by Katie Steckles and Peter Rowlett.
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Mathematical Objects: Universe of cake
You're reading: Posts By Peter Rowlett
- If I want to have a natter about something maths, the absolute best place for that is The Finite Group. You can join for free and get access to a friendly online chat community run via Discord. (There are also paid memberships where you get to watch livestreams.)
- Beyond that, I’m going to try to engage with Mastodon (@peterrowlett@mathstodon.xyz) and Bluesky (@peterrowlett.net), for the time being.
- I’m going to stop looking at Threads. Things I post there get very little engagement, and I don’t see much I’m interested in. It’s also a regular little irritant because it keeps alerting me it has found something of interest to me, which turns out to be of no interest whatsoever.
- I continue to log into X because there are some large organisations there whose updates I would like to receive. I have to wade through Elon’s thought of the day and crypto ads to get there and I hope in time this will stop being part of my life. Will I continue to post stuff I do there? I’m not sure, to be honest.
Exciting new maths of 2024
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!
Mathematical Objects: An object with Tai-Danae Bradley
A conversation about mathematics inspired by … an object. Presented by Katie Steckles and Peter Rowlett, with special guest Tai-Danae Bradley.
Katie mentions Peter’s The unplanned impact of mathematics, free to read at Nature.
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Mathematical Objects: Borges’ Library of Babel
A conversation about infinity inspired by The Library of Babel by Jorge Luis Borges. Presented by Katie Steckles and Peter Rowlett.
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Social media and mathematical chat
A brief update about the state of social media. A couple of years ago, I wrote about the decline of Twitter and how I was going to consciously shift my activity to Mathstodon. Just over a year ago, we launched The Finite Group, a members’ club for mathsy people, partly inspired by the collapse of social media. We recently updated this to include a free membership.
Since then, I’ve ended up in an awful state where I’m somewhat engaging with X, Mastodon, Bluesky and Threads, but not engaging much with any. If I have something to broadcast, say a new blog post, I’ll put it on all four. If I have something to say or fancy a chat, I might put it on Mastodon. What’s happening just now is that more people seem to have decided to leave X for Bluesky. Will that stick? I don’t know, but it’s nice to see people who I used to see on Twitter being active, and for whatever reason those people haven’t got on with Mastodon, so it seems promising (from that point of view, though it’s not an ideal place to be).
Here’s my current position:
Mathematical Objects: Parallelepiped with Ayliean MacDonald
A conversation about mathematics inspired by a very special parallelepiped. Presented by Katie Steckles and Peter Rowlett, with special guest Ayliean.
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Mathematical Objects: An area the size of Wales
A conversation about mathematics inspired by an area the size of Wales. Presented by Katie Steckles and Peter Rowlett.
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