Matt Macauley

@visualalgebra.bsky.social

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

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?

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)

The Gaussian Moments Conjecture and the Jacobian Conjecture

We 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 ...

arxiv.org

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 Daily Geography Game

Play MapTap - the daily geography game! Find 5 world locations on a 3D globe with historical stories. Free browser-based daily game for geography lovers.

maptap.gg

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

Picture showing two grids of quadratic integers rings. A "rectangular" one for m=-2, and a grid of parallelograms for the the other, m=-7. Picture showing two grids of quadratic integers rings. A "rectangular" one for m=-2, and a grid of isosceles triangles for the the other, m=-7.