Matt Macauley

Matt Macauley

@visualalgebra.bsky.social

Associate Professor (Clemson) | AIMS Lecturer (South Africa) | Author: "Visual Algebra" (forthcoming) | YouTuber | First Gen | Homesteader | Dad to Ida & Felix | 🔱

1.4K followers714 following1.1K posts

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I used to post long #VisualAlgebra threads on #MathTwitter before realizing that I was actually in #TheBadPlace. I'm going to make my debut #MathSky thread today, with visuals that I've never publicly shared. (Can you guess the topic?) I'm excited to show you, and I hope you enjoy! 1/19 🧵👇

💥 Some personal news 💥 Visual Algebra is finally DONE! I just sent off an 820-page pdf to the editor. Almost exactly 7 years after I started. The zip file that contains the 100+ plain text LaTeX files and nothing else is a whopping 5.4 MB. Now onward to Volume 2! #MathSky

Oh, and it was delayed further because I included some original unpublished research from last summer (which took a bunch of time to actually do). It's a really neat result that I can't wait to share.

Matt Macauley reposted

Matt Macauley reposted

Replying to @johncarlosbaez.bsky.social

Rutherford's puzzle about 'Napoleon's theorem' was published in 𝘛𝘩𝘦 𝘓𝘢𝘥𝘪𝘦𝘴' 𝐷𝑖𝑎𝑟𝑦: 𝑜𝑟 𝑊𝑜𝑚𝑎𝑛'𝑠 𝐴𝑙𝑎𝑚𝑎𝑛𝑎𝑐𝑘. Interestingly, this woman's magazine was an important forum for math problems before more 'serious' math journals appeared in the UK in 1830.

Matt Macauley reposted

This fall I am co-teaching a brand-new class – ENGR 009: Fabricating Tessellations and Tilings. It's roughly equal parts math and design, filtered thru an engineering perspective. The syllabus and all assignments are freely available to the public at mzucker.github.io/e9_f2026/

Matt Macauley reposted

A recent Washington Post article titled "This may be the first academic profession to see its work taken over by AI," ponders if AI can solve mathematical problems, what is left for mathematicians to do? What do you think? Leave your comments below! Full story link in comments.

My 7-year-old daughter heard me say that Dolly Parton died, and got visibly very sad. I was surprised she even knew that name. “You know Dolly Parton?” In the sweetest timid voice, she replied: “Well, I don’t _know_ know her. But she sent me books.” 🥹😢😭

Academics, to "celebrate" the start of a new semester, post a WayBack Machine snapshot of your workplace from when you were applying to college (or a later milestone if you missed the dawn of dot edu) #WayBackCollegeChallenge

Academics, to "celebrate" the start of a new semester, post a WayBack Machine snapshot of your workplace from when you were applying to college (or a later milestone if you missed the dawn of dot edu) #WayBackCollegeChallenge (CC: @professorbrendan.bsky.social)

When you get over 150 pounds of fresh figs in 3 weeks, you have to get creative. This is a cast iron skillet with wheel of Brie cheese, fresh figs, nuts, fresh rosemary, honey, balsamic glaze, and raw cane sugar. Baked for 30 minutes.

Hey #MathSky. I’m teaching introductory linear algebra this fall for the first time in over a decade. What materials should I be aware of? I know I’ve seen a few posts about this sort of thing, but I don’t remember from whom or when. I don’t even know what (open) textbook(s) to use yet. Thank you!

I know that \(…\) is supposedly “better” than $…$, but over the last 20+ years, I’ve shared LaTeX files with dozens of people, and I’ve NEVER seen ANYONE use \(…\) in the wild. Does anyone actually do this in practice? Or know anyone who does? Who are these mythical people?

Got 7 pounds each of the last two days. Would have been much more, but the rain caused many to ripen and rot quickly and get attached by bugs and bees. Up to 98 pounds in 13 days

Matt Macauley@visualalgebra.bsky.social

Picked 8 pounds each of the last two days. Up to 83 pounds in 11 days, all from a single Celeste tree that I planted in 2015. (Including a 2 lb basket I forgot to include in my last photo.)

Picked 8 pounds each of the last two days. Up to 83 pounds in 11 days, all from a single Celeste tree that I planted in 2015. (Including a 2 lb basket I forgot to include in my last photo.)

Matt Macauley@visualalgebra.bsky.social

The distribution is not unimodal! Back up to 7 pounds yesterday and 8 pounds today. Now over 65 pounds of figs in 9 days, all from the same tree that I planted in 2015.

The Riemann Hypothesis is false.

James McLeod@jamespmcleod.ca

It's safe to assume that all major LLMs are scraping Bluesky data to train future models. As an open protocol, Bluesky is one of the few sources of fresh human-generated content that anybody can gobble up. So all this is probably going in the models. There are submarines in the Great Lakes.

G-sets need to be taught in every abstract algebra class. It’s criminal at how absent they are from some of the most popular books.

ꭓle Ormsby 𓆙@e-infinity.space

Buckle up, kids — we're taking the factorial of a G-set! For a natural number n, n! = n(n-1)(n-2)⋯1 counts two subtly different structures on the set [n] = {1,2,...,n}: ① the bijections [n]→[n], ② linear orderings of [n]. For a group G acting on a finite set X, we'll try to understand ②. 🧮 1/

The distribution is not unimodal! Back up to 7 pounds yesterday and 8 pounds today. Now over 65 pounds of figs in 9 days, all from the same tree that I planted in 2015.

Matt Macauley@visualalgebra.bsky.social

Not quite as much the last 2 days: 4.5 pounds and 6 pounds, respectively. But that’s brings last week’s total haul to just over 50 pounds.

Matt Macauley reposted

The Gaussian Moments Conjecture is a pretty conjecture connected to probability and quantum field theory. Two days ago we suddenly learned it's false! - since it implies the Jacobian conjecture. Let me explain this conjecture - it's pretty simple as these things go. (1/n)

arxiv.orgThe Gaussian Moments Conjecture and the Jacobian ConjectureWe first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-example to a more general ...

Not quite as much the last 2 days: 4.5 pounds and 6 pounds, respectively. But that’s brings last week’s total haul to just over 50 pounds.

Matt Macauley@visualalgebra.bsky.social

Picked 6 pounds today, which means that this one tree gave me 40 pounds of figs in just 5 days!

Picked 6 pounds today, which means that this one tree gave me 40 pounds of figs in just 5 days!

Matt Macauley@visualalgebra.bsky.social

Only 7 pounds today. But that’s still 34 pounds from one tree in 4 days. My LSU Gold and Chicago Hardy trees aren’t even ripe yet.

Only 7 pounds today. But that’s still 34 pounds from one tree in 4 days. My LSU Gold and Chicago Hardy trees aren’t even ripe yet.

Matt Macauley@visualalgebra.bsky.social

And another 11 pounds today! Just from the Celeste. The LSU Gold and Chicago Cold Hardy figs haven’t even ripened yet.

This is a fun daily game I discovered a few weeks ago. When you finish, they reveal 5 neat historical facts about the locations. It seems to frequently feature mathematicians; today it’s Sophie Germaine! This is also my highest score. www.maptap.gg June 27 95🏆 100🎯 100🎯 100🎯 100🎯 Final score: 995

maptap.gg🎯MapTap Daily Geography GamePlay MapTap - the daily geography game! Find 5 world locations on a 3D globe with historical stories. Free browser-based daily game for geography lovers.

Matt Macauley reposted

Hey #MathSky, I need your advice. Which of the following two pictures should I use to visualize quadratic integer rings? Pro of #1: They highlight the "fundamental domains." Pro of #2: Illustrates how both are "stretched versions" of the Gaussian & Eisenstein integers, respectively. 1/3

A number theorist told me he prefers #1. But another argument for #2 can be made by the following natural reflective symmetries of the primes in ℤ[i] and ℤ[ω], which carries over to other quadratic integer rings as well. Please help me decide, and don't be shy to make your case. Thank you! 3/3