Started a new blog post on Principal Bundles at www.shiraz-k.com! It's a long way away, but I'm excited about how this illustration turned out: #MathSky

Relying on LLMs when we have specialized tools for tasks... it's so lazy! The best AI applications are specialized models (eg drug discovery machine learning, handwriting recognition vision models for sorting the mail) used for specific tasks. LLMs are not generalists!

Python was awarded a funding grant, funding grant asked Python foundation to remove all diversity and inclusion initiatives they have. Python foundation said no and rejected the grant. If you use Python, send a few dollars to the charity to keep it going. I’m pushing a dono on behalf of ScamGuard.

My version of this - I called it Dirac's Belt Swimming in Dirac's Sea :) Inspired by Roger Penrose's book The Road to Reality. Watercolor and acrylics #SciArt #MathArt #PhysicsArt Math brackground (plus early sketch of this) in this blog post of mine: elkement.art/2021/02/15/d...

Did a presentation at Brown University demoing Blacksky and this was the top post on the trending feed.

#mathsky tip, if you're on MacOS consider getting Alfred (blazing fast drop-in replacement for Spotlight without AI bullshit) and set it up so that "w <search_term>" directly pulls up the Wikipedia page! Only downside is that you seem to have to spell the page exactly right. @alfredapp.bsky.social?

"Misuse as a Use of Language" from Jan 2023. Having fun reading my own writing, because back then I had soo much motivation to introduce the uninitiated reader to 20th century mathematics. This post leads into Gödel's incompleteness theorems.. shiraz-k.com/posts/langua...

‘96% of healthcare professionals said the model helps to reduce children’s anxiety, and 46% reported a lesser need to use sedation after the children played with the set.‘ ‘Lego doesn’t sell the sets and instead has donated more than 10,000 of the kits to hospitals around the world.’

Spent a lot of time today playing around with @diffgeom.com's incredible math visualizations www.diffgeom.org/software/ind... My favorite was the Torus Sketch! Makes me wanna learn Javascript

They call it a window because it keeps the wind owt

@skatestory.com is just incredible on all counts. Dude has been developing it for as long as EA has been developing their silly fortnite reskin

Asians abandoning East to follow degree in instrumentation (8) #cryptic #crossword

New blog post! Through a sequence of images, I verify that the unknotting number of the connected sum of a (2,7) torus knot and its mirror is less than 6: I show that this first image is the connected sum, and after changing those crossings, it produces the unknot! divisbyzero.com/2025/10/08/t...

I love math

The Sora tiktok product is so disgusting on so many dimensions. What kind of sane organization uses hundreds of millions of dollars not to improve human welfare but to steal art in order to replace artists. Imagine all the ways that money could have otherwise been used.

Visited Emmy Noether today at Bryn Mawr PA! Here’s a lovely plaque that has inscribed on it her famous Noether’s theorem from physics and the defining feature of a Noetherian ring

New 100% tariff on all python imports

The mean of N points is sum(points)/N, but their median (known as the Fermat point in the N=3 case) is surprisingly difficult to compute! The deviation between the two increases with the asymmetry of the triangle. When one of the angles is >120° the median clips to that vertex~ #mathober

Each pair of circles is interlocked in what’s called a Hopf link. Each point on the sphere corresponds to a circle up above (sitting in dimension 4, visualized here in dimension 3). I move a set of points on the sphere to look at all the circles sitting above. #mathtober

All of my reasons and opportunities for staying in the US are disappearing one by one. It is now up to you, Sunk Cost Fallacy, to keep me going !

I cannot for the life of me understand why numpy's fft is implemented the way it is iykyk. A demon wrote htis code

They've lost the 9yos

It’s silly how much work goes into (numerically) computing the axis of rotation given a rotation matrix

PhD level bluffing

The Hopf fibration visualized in Julia

Science isn’t really moving towards equity; institutions are just perfecting the appearance of equity. We need to build an alternative system, says Dolors Armenteras go.nature.com/4nzGhp9

trying to plot triangle in Julia and somehow managed to trigger a stackoverflow error

Hello #portfolioday I’m Acid Lich and I make art for people, albums and games

You’ve heard of the noperthedron, now get ready for Neglectons www.scientificamerican.com/article/negl...

I feel so uncomfortable reading mathematical physics books because I don’t trust any of what I’m reading. What the hell do you mean “ ds^2 = dr(s) . dr(s) “ what the hell does that mean

Has anyone figured out how to draw commutative diagrams with diagonal arrows easily in #mathjax? Lmk!

The pop math videos on YouTube have gotten so freaking good! If I ever raise I child I’m handing that mf an ipad youtu.be/YGLNyHd2w10?...

My new textbook "An Invitation to Real Analysis" is available for pre-order on August 21. A blog post for prospective instructors briefly explains motivations and choices, from definitions to terminology to notation: www.diffgeom.com/blogs/around... #MathSky #ITeachMath

Shiraz Khan, Jikai Ye, Gregory S. Chirikjian Means of Random Variables in Lie Groups https://arxiv.org/abs/2508.12030

"I grew up in Australia, but was immersed in American science and culture from an early age. Sesame Street taught me to count." Not a bad return on investment. For fun, here's the grant that taught Terry Tao to count: www.nsf.gov/awardsearch/...

“…in our current environment, when even the most benign activities are subject to capricious disruption and political interference, the luxury of disengagement is no longer a viable option.” newsletter.ofthebrave.org/p/im-an-awar...

repost to instantly kill an astronomer

Offer received and accepted, funemployment ends homies. I release my employment jelly to the wild now, thank you friend.

Happy bday twin youtu.be/Cu6tf15Y8kU?...

The first few lines of this track sound like they came straight from Elliott Smith’s mouth and fingers youtu.be/s9SLjEDnjBY?...

Just re-solved this excellent variety cryptic (cryptic crossword grid with a twist) by Patrick Berry. I’d forgotten everything but the twist, so I had the rare pleasure of being blown away a second time in the same lifetime aframegames.com/puzzles/Midd...

What’s the point of freezing your requirements.txt down to the fourth decimal point when you fail to mention which Python version was used? Am I crazy?? I often end up editing the version numbers out of reqs.txt manually

Once again the lore of large numbers has great energy!!!

That some person named Mourier (more-ier) worked on extensions of the classical Fourier analysis is the funniest thing to me

one word answer: _perception_ of effectiveness/intelligence. Due to the rabid adoption of copilots, tasks disappear faster than benefits are proven to be systematic.

The failure modes of this thing are really odd. It's like the model has such a strong bias against rare but realistic situations that it will contrive something completely out there to get around the slightly imaginative scenario that's actually in the prompt

Modern-Day Oracles or Bullshit Machines? Jevin West (@jevinwest.bsky.social) and I have spent the last eight months developing the course on large language models (LLMs) that we think every college freshman needs to take. thebullshitmachines.com