Álvaro Lozano-Robledo
@mathandcobb.bsky.social
Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo chalk ambassador, bonsai amateur.
Views expressed are my own.
Views expressed are my own.
Hashtag proud dad things
October 24, 2025 at 11:51 AM
Hashtag proud dad things
A sketch of the graph of a hyperbolic paraboloid 🤩 (z = x^2 - y^2)
August 3, 2025 at 12:20 AM
A sketch of the graph of a hyperbolic paraboloid 🤩 (z = x^2 - y^2)
I met @clontz.org and got to hear him speak about the very cool project pi-Base!
topology.pi-base.org
topology.pi-base.org
July 11, 2025 at 11:44 AM
I met @clontz.org and got to hear him speak about the very cool project pi-Base!
topology.pi-base.org
topology.pi-base.org
Happy Easter to those who celebrate!
April 20, 2025 at 4:05 PM
Happy Easter to those who celebrate!
Completely forget about central series!!! Look at the theorem here... The definition of nilpotent should be that it's a direct product of Sylow groups! That's so clearly important!
The image is a screenshot of this paper by Daniels and Rouse:
arxiv.org/abs/2409.00881
The image is a screenshot of this paper by Daniels and Rouse:
arxiv.org/abs/2409.00881
March 2, 2025 at 8:15 PM
Completely forget about central series!!! Look at the theorem here... The definition of nilpotent should be that it's a direct product of Sylow groups! That's so clearly important!
The image is a screenshot of this paper by Daniels and Rouse:
arxiv.org/abs/2409.00881
The image is a screenshot of this paper by Daniels and Rouse:
arxiv.org/abs/2409.00881
My bougainvillea thinks it's spring in the US Northeast ... Bless you heart.
March 2, 2025 at 7:55 PM
My bougainvillea thinks it's spring in the US Northeast ... Bless you heart.
Is your post related to this?
February 28, 2025 at 12:49 PM
Is your post related to this?
This is probably my favorite insult I've gotten on a TikTok 😅😂
February 26, 2025 at 1:26 PM
This is probably my favorite insult I've gotten on a TikTok 😅😂
New number system just dropped...
February 8, 2025 at 2:35 AM
New number system just dropped...
And here is the same graph of P(x) and HL(x), but up to x=100000.
January 9, 2025 at 7:30 PM
And here is the same graph of P(x) and HL(x), but up to x=100000.
Let P(x) be the number of n in [1,x] such that n and n+2 are both primes. And let HL(x) be the integral function such that, conjecturally,
lim_{x->infty} P(x)/HL(x) = 1
Here is a graph of P(x) in blue, and HL(x) in red, up to x=1000.
lim_{x->infty} P(x)/HL(x) = 1
Here is a graph of P(x) in blue, and HL(x) in red, up to x=1000.
January 9, 2025 at 7:30 PM
Let P(x) be the number of n in [1,x] such that n and n+2 are both primes. And let HL(x) be the integral function such that, conjecturally,
lim_{x->infty} P(x)/HL(x) = 1
Here is a graph of P(x) in blue, and HL(x) in red, up to x=1000.
lim_{x->infty} P(x)/HL(x) = 1
Here is a graph of P(x) in blue, and HL(x) in red, up to x=1000.
And here is a graph comparison of P(x) (blue dots) and HL(x) (in red) up to x=100000.
January 8, 2025 at 2:47 PM
And here is a graph comparison of P(x) (blue dots) and HL(x) (in red) up to x=100000.
Here is a graph comparison of P(x) (blue dots) and HL(x) (in red) up to x=100.
January 8, 2025 at 2:47 PM
Here is a graph comparison of P(x) (blue dots) and HL(x) (in red) up to x=100.
It did air!!! 😄😄😄
January 3, 2025 at 9:39 PM
It did air!!! 😄😄😄
Today I was interviewed by NBC Boston about the different number expressions of 2025! Hopefully it airs at 4pm Eastern.
January 3, 2025 at 8:14 PM
Today I was interviewed by NBC Boston about the different number expressions of 2025! Hopefully it airs at 4pm Eastern.
If you ever wanted to know how to solve the problem in the image (the "fruits diophantine equation"), here is a video for you :D
youtu.be/BG2vSPnDYJ0
youtu.be/BG2vSPnDYJ0
January 2, 2025 at 2:39 PM
If you ever wanted to know how to solve the problem in the image (the "fruits diophantine equation"), here is a video for you :D
youtu.be/BG2vSPnDYJ0
youtu.be/BG2vSPnDYJ0
The Empire Strikes Back is a Xmas movie.
December 25, 2024 at 8:12 PM
The Empire Strikes Back is a Xmas movie.
In other news, I lifted over 10M pounds this year.
December 23, 2024 at 3:56 PM
In other news, I lifted over 10M pounds this year.
Here is another one:
December 10, 2024 at 9:22 PM
Here is another one:
I was grading and I wrote two questions marks next to some math I didn't understand, then thought about it some more, and then underlined my question marks because I was still really confused...
... And now I see a "confused bunny" and I can't unsee it. I'm keeping it and using it again.
... And now I see a "confused bunny" and I can't unsee it. I'm keeping it and using it again.
December 10, 2024 at 9:19 PM
I was grading and I wrote two questions marks next to some math I didn't understand, then thought about it some more, and then underlined my question marks because I was still really confused...
... And now I see a "confused bunny" and I can't unsee it. I'm keeping it and using it again.
... And now I see a "confused bunny" and I can't unsee it. I'm keeping it and using it again.
I'm thankful for my kids (who made these awesome cupcakes from scratch!)
November 29, 2024 at 2:09 AM
I'm thankful for my kids (who made these awesome cupcakes from scratch!)
I'll go first: Silverman's "The arithmetic of elliptic curves."
It's so nicely written it's a case study on how to write textbooks. It's the canonical reference to first learn about elliptic curves at the grad level. And at a personal level, it's the book that got me SO interested in this topic!
It's so nicely written it's a case study on how to write textbooks. It's the canonical reference to first learn about elliptic curves at the grad level. And at a personal level, it's the book that got me SO interested in this topic!
November 22, 2024 at 7:01 PM
I'll go first: Silverman's "The arithmetic of elliptic curves."
It's so nicely written it's a case study on how to write textbooks. It's the canonical reference to first learn about elliptic curves at the grad level. And at a personal level, it's the book that got me SO interested in this topic!
It's so nicely written it's a case study on how to write textbooks. It's the canonical reference to first learn about elliptic curves at the grad level. And at a personal level, it's the book that got me SO interested in this topic!
The elliptic curve with LMFDB label 49.a2 hopes you have a nice Friday and a great weekend.
November 22, 2024 at 12:13 PM
The elliptic curve with LMFDB label 49.a2 hopes you have a nice Friday and a great weekend.
It doesn't get any more Zen than this for me. This is one of my bonsai that brings me so much joy and peace to look at!
November 16, 2024 at 7:56 PM
It doesn't get any more Zen than this for me. This is one of my bonsai that brings me so much joy and peace to look at!