Álvaro Lozano-Robledo

As a fellow exclamation point enthusiast, I loved it.

I'm pretty sure I can find a way to use it in a video :)

Ha nice, maybe you can upload it to TikTok as an available sound for people to use?

YouTube video by Alvaro Lozano-Robledo Doing algebra vs doing analysis #math #algebra #analysis #stem

Or this one

youtube.com/shorts/cdv3R...

YouTube video by Alvaro Lozano-Robledo When you ask a question in class and students become invisible #math #college #professor #students

Like this one

youtube.com/shorts/mo936...

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.

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.

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?

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?

Here!

bsky.app/profile/math...

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

👏👏👏

So what are you playing?

I've only scratched the surface of the functions but I'm sure there are many cool priorities one could prove, look into!

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

See my video on this!

youtu.be/OSL5z-fzBsg?...

YouTube video by Alvaro Lozano-Robledo The functions that are equal to their own third derivative

See

youtu.be/OSL5z-fzBsg?...

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)

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.

I'm making a video for the entire family of spiral trig functions, for any f^(n) = f !! Will post tomorrow 🙏

Don't you use Cauchy to prove Sylow 1? To prove the very existence of Sylow subgroups?

I would say that the awfulness is becoming continuous :(

Of course it is, thanks to the commutativity of integer addition.

9+16 = 16+9 = 25.

YouTube video by Alvaro Lozano-Robledo 🚨 Cool Math Date Alert! 🚨 (9/16/25)

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

I called it!

YESSS!

Hypergeometric decomposition of Delsarte K3 pencils We study five pencils of projective quartic Delsarte K3 surfaces. Over finite fields, we give explicit formulas for the point counts of each family, written in terms of hypergeometric sums. Over the c...

ok well everything sucks but I made minor contributions to a really cool paper that we just put up on the arxiv

Lovingly

Sí!! Que es de tu vida!? :)

The University of Arkansas is hosting a lecture series by Bjorn Poonen on "Undecidability related to arithmetic geometry" and they have some NSF funding to assist with travel! Please share widely.

math.uark.edu/research/spr...

It's like when parents favor a kid, and that kid always gets away doing less than the less favored siblings.

I'm all for silly/Dad jokes