Álvaro Lozano-Robledo
@mathandcobb.bsky.social
1K followers 180 following 660 posts
Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo chalk ambassador, bonsai amateur. Views expressed are my own.
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mathandcobb.bsky.social
I am on a mission to publish/post as much math as I can, aimed at a variety of mathematical levels and backgrounds. Here "math" is broadly construed: actual mathematics, meta mathematics, advice about academia, etc. To that end, let me write a thread here about the many ways I share math:
mathandcobb.bsky.social
I'm pretty sure I can find a way to use it in a video :)
mathandcobb.bsky.social
Ha nice, maybe you can upload it to TikTok as an available sound for people to use?
mathandcobb.bsky.social
Oh I mean, yes if I'm making a 'comedy' video/video with a bit, then I'll use some 'sound', not necessarily music, but sometimes music. I can pull up some example.
mathandcobb.bsky.social
I don't. I've debated whether to include sometimes some music in the background, but I think it would be overall distracting and out of place.
Reposted by Álvaro Lozano-Robledo
motivickyle.bsky.social
Hey @mathandcobb.bsky.social, can you ask the Hagoromo people if they'll make me an official Brand Representative if I tattoo a piece of Hagoromo on my forearm?
mathandcobb.bsky.social
So let me try to get a bit of a silver lining out of this mess... Do we all now agree we need more science and scientific studies?
mathandcobb.bsky.social
mathandcobb.bsky.social
In this video I describe all the functions that are equal to their own n-th derivative, and also define the infinite family of "spiral trigonometric functions", which include the usual exponential, sine, and cosine functions as special cases #math #differentialequation #trigonometry #spiral
mathandcobb.bsky.social
In this video I describe all the functions that are equal to their own n-th derivative, and also define the infinite family of "spiral trigonometric functions", which include the usual exponential, sine, and cosine functions as special cases #math #differentialequation #trigonometry #spiral
mathandcobb.bsky.social
👏👏👏

So what are you playing?
mathandcobb.bsky.social
I've only scratched the surface of the functions but I'm sure there are many cool priorities one could prove, look into!
mathandcobb.bsky.social
Thanks for the shout-out! I think these are really cool functions! But I've already changed the notation a bit... See tomorrow's video! :D
Reposted by Álvaro Lozano-Robledo
thalesdisciple.bsky.social
The “spiral trigonometric” functions, named coss(x) and sins(x) by @mathandcobb.bsky.social. These are solutions to the third-order differential equation y'''=y.
Graph of y = exp(-x/2)*cos(x*sqrt(3)/2) Graph of y = exp(-x/2)*sin(x*sqrt(3)/2) Graph of f(x) = exp(-x/2)*cos(x*sqrt(3)/2) in red and its first and second derivatives, f'(x) in blue and f''(x) in green The logarithmic spiral traced out by (f(t),g(t)) where f(t) = exp(-t/2)*cos(t*sqrt(3)/2) and g(t) = exp(-t/2)*sin(t*sqrt(3)/2)
mathandcobb.bsky.social
I'm making a video for the entire family of spiral trig functions, for any f^(n) = f !! Will post tomorrow 🙏
mathandcobb.bsky.social
Don't you use Cauchy to prove Sylow 1? To prove the very existence of Sylow subgroups?
mathandcobb.bsky.social
I would say that the awfulness is becoming continuous :(
mathandcobb.bsky.social
Of course it is, thanks to the commutativity of integer addition.

9+16 = 16+9 = 25.
mathandcobb.bsky.social
Happy Pythagorean Theorem Day! 9+16=25, or 3^2+4^2=5^2. This is the unique date every century with this property! 🤩

youtu.be/cApa8UKUls8
🚨 Cool Math Date Alert! 🚨 (9/16/25)
YouTube video by Alvaro Lozano-Robledo
youtu.be
mathandcobb.bsky.social
I called it!
mathandcobb.bsky.social
Give ALL the awards to the kid from "Adolescence" already.