Motivated, accessible math. YouTuber | Open-source developer | Aspiring independent researcher. Prev: @Wikimedia #Eventmath grantee. Views are my own.
Denver, CO
Joined June 2016
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Greg Stanton@HigherMathNotes
Apr 14United States
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Yes! I've been wondering if discovery fiction (in the sense of @michael_nielsen) and open-exposition problems (as introduced by Timothy Chow) might start to receive greater attention. It's also interesting to consider how AI might assist in these more subjective areas.
Why am I excited about math formalization with AI assistance? Paradoxically, it might free up human time and exposition space for some more human, softer and often neglected aspects of mathematics - intuition, storytelling, experimentation, etc. (From arxiv.org/pdf/2603.26524)
Greg Stanton@HigherMathNotes
Mar 25United States
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📢Stunning math & AI update
"I still did not see how to prove this inequality, but I decided to try my luck giving it to ChatGPT Pro, which... gave me a duality-based proof..."—Terence Tao (3/23/26)
How Fields medalist Tao used AI in his latest work:
terrytao.wordpress.com/2026/…
Greg Stanton@HigherMathNotes
Feb 3United States
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Replying to @dodecahedra @VinceVatter
Triangulation provides a short, general proof, no?
Connect a pair of opposite vertices with a diagonal, creating two triangles with parallel bases of lengths b_1 and b_2 (by def. of trapezoid) and the same height h (the height of the trapezoid). Sum areas (1/2) b_i h.
Greg Stanton@HigherMathNotes
12 Dec 2025United States
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Big thanks to @lavrton for the initial spark.
Also drawing inspiration from the accessible explanations of @redblobgames, the visual creativity of @matthen2, and @davepvm's accessible p5 WebGL designs.
cc: @robpenner, @jcponcemath
Greg Stanton@HigherMathNotes
12 Dec 2025United States
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I just released WebGL2 & GLSL: A zero-to-hero guide.
It’s a full curriculum for internalizing the graphics pipeline—not just copy-pasting code.
It uses spaced repetition to guide you from a blank canvas to building a minimal 3D engine from scratch. 🧵👇
github.com/GregStanton/webgl…
Greg Stanton@HigherMathNotes
25 Sep 2025United States
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References:
Pronunciation, definition, and more:
merriam-webster.com/dictiona…
Interesting Wikipedia article on calques:
en.wikipedia.org/wiki/Calque
QI article on origins of "great artists steal":
quoteinvestigator.com/2013/0…
h/t @stevenstrogatz
(I learned of QI from one of your posts!)
Greg Stanton@HigherMathNotes
10 Jul 2025United States
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Hot take on AI in math education: Even if the potential is astronomical (one-on-one tutor for all, solving Bloom's 2 sigma problem), it won't be realized if we don't teach students to ask the important questions.
Greg Stanton@HigherMathNotes
20 Apr 2025United States
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Replying to @experilearning
You may be interested in insulin pumps (fluidics) and diabetes ed. for patients (llms). Not sure where you are w/ Math Academy, but the control-engineering aspect of insulin delivery is also interesting and important (calc, lin alg, ODEs; maybe complex vars, prob & stats).
Greg Stanton@HigherMathNotes
16 Apr 2025United States
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Nice application of linear programming to improve harvesting of drinking water!
Even uses a reduced 2D linear program, perfect for teaching.
One axis for mass of each candidate material. Solution is best combination, subject to min water delivery constraints. #math #iteachmath
ALT A linear program in two dimensions, with one axis for each of the two candidate materials (metal-organic frameworks), measured in kg. Constraints are based on drinking-water delivery and mass. The corners of the feasible region are marked, with the optimal composition being located at a corner in the interior of the first quadrant, and the optimal single-material designs located on the axes.
🥤"Optimizing mixtures of metal–organic frameworks for robust and bespoke passive atmospheric water harvesting" by C. Harriman, Q. Ke, T. Vlugt, A. Howarth, C. Simon.
feedback welcome on our new preprint!
💡the key idea is to optimize the composition of *mixtures* of metal-organic frameworks (MOFs) to comprise the adsorbent bed of a passive atmospheric water harvester. with a mixture, each MOF can specialize in delivering water under different conditions.
we frame a linear program for the optimal design of the composition of the MOF adsorbent bed that is:
(1) bespoke, i.e., tailored to a declared geographic region and time frame and
(2) robust, i.e. satisfies minimum daily water delivery requirements despite variance in weather.
both weather data and MOF water adsorption data are inputs to our optimization problem.
Greg Stanton@HigherMathNotes
8 Mar 2025United States
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Very cool🧵here about a cutting-edge application of topology to drug discovery!
Great example of fundamental mathematical modeling principles, including the use of simplifying assumptions:
"If you forget the chemical information for a second," we're sort of left with... this?
Greg Stanton@HigherMathNotes
18 Dec 2024United States
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Like math and want to learn computer programming? Want to give the gift of learning?
I've developed "Programming for math learners," a short course for small groups. It's for educators too!
It covers all programming fundamentals through fun math problems and projects...
Greg Stanton@HigherMathNotes
30 Oct 2024United States
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Replying to @jcponcemath @TreforBazett
Her treatment of power series puts modern textbooks to shame!
The motivation is so simple: power series are to algebra what decimal expansions are to arithmetic.
I will be shouting this from the rooftops as soon as I find the time :)
Greg Stanton@HigherMathNotes
22 Aug 2024United States
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Replying to @experilearning
Cool!! I'll send you a DM.
Greg Stanton@HigherMathNotes
21 Aug 2024United States
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Replying to @experilearning
Want to join my learning group? We have math/CS backgrounds. We're making reveal.js slides + Anki cards on the irreducible minimum of algorithms, for programmers and math learners. Have wanted to do that for a while. But then we're planning to work toward building an LLM.
Greg Stanton@HigherMathNotes
27 Jul 2024United States
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Hi! I just saw this cool page of yours:
n1ckfg.github.io/SixFeatures…
I'm actually working on a YouTube course ("Programming for math learners") w/ a similar focus:
1. variables
2. data types & structures (arrays)
3. control flow (conditionals & loops)
4. functions
5. (maybe) scope
Greg Stanton@HigherMathNotes
27 Jul 2024United States
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I'll be in town!
Greg Stanton@HigherMathNotes
21 Mar 2024United States
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P.S. Here are some people who make visualizations with WebGL or related technologies, especially math visualizations:
@davepvm, @iquilezles, @thespite, @matthen2, @jcponcemath, @BlindMath, @redblobgames, @tBlankensmith, @uuuuuulala, @stevejtrettel
Greg Stanton@HigherMathNotes
21 Mar 2024United States
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That's it for today's lesson!
For me, this is a fun way to learn a new technology that will help me make new contributions to @p5xjs, and ultimately to Mathemagical.js (github.com/Mathemagical-Comm…).
Thanks for reading. If you have any feedback, let me know!
Greg Stanton@HigherMathNotes
21 Mar 2024United States
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Q: What does a fragment shader do?
A: It computes pixel colors. (It does this for each pixel in the geometric primitive being drawn.)
Greg Stanton@HigherMathNotes
21 Mar 2024United States
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Q: What does a vertex shader do?
A: It computes vertex positions. (These determine where geometric primitives are rendered on the screen.)