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Álvaro Lozano-Robledo

@mathandcobb.bsky.social
1.1K followers 180 following 721 posts

Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo chalk ambassador, bonsai amateur. Views expressed are my own.

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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 31/08/2026
I've been greatly enjoying reading colleagues' posts in the "Proofs and Prompts" blog, so it's my pleasure to share my own post that just appeared! Hope you enjoy it too. Invest in Human Mathematicians! proofsandprompts.com/2026/08/31/i...
A room full of mathematicians listen to a video lecture by Dick Gross.
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Reposted by Álvaro Lozano-Robledo
mgualt.bsky.social @mgualt.bsky.social · 25/08/2026
A letter to the math community, to appear in the Notices. In response to what I view as irresponsible messaging and unfortunate decisions from some mathematical leaders influencing many in my department. www.math.toronto.edu/mgualt/math-...
math.toronto.edu
Mathematics and the LLM: 2026 – Coordinate Change
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026
Here I found it: mathoverflow.net/a/50868
mathoverflow.net
What heuristic evidence is there concerning the unboundedness or boundedness of Mordell-Weil ranks of elliptic curves over $\Bbb Q$?
Some experts have a hunch that for any nonnegative integer $r$ there are infinitely many elliptic curves over $\Bbb Q$ with Mordell-Weil rank at least $r$. The best empirical evidence for this hun...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026
I think they revealed themselves: Levent Alpoge and Ava Howell.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026
There is a MO thread about that and Silverman did plot it
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Prof Christelle Vincent @xl772.bsky.social · 21/08/2026
Exciting news for team unbounded rank!! #MathSky h/t @mathandcobb.bsky.social youtube.com/shorts/Q8zLX...
youtube.com
🚨 BREAKING NEWS 🚨 An anonymous user has dropped an elliptic curve of rank at least 30 🤩 #math
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 30/07/2026
🤣🤣🤣
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Reposted by Álvaro Lozano-Robledo
stankewicz.bsky.social @stankewicz.bsky.social · 24/07/2026
@mathandcobb.bsky.social
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Reposted by Álvaro Lozano-Robledo
Maria Gunther @mariagunther.bsky.social · 30/05/2026
www.dn.se/varlden/ais-... ”När man ser tillbaka på vår tid kanske det är AI vi borde ha fokuserat mest på.” @svantelinusson.bsky.social om att en AI-modell nu har löst ett problem som mat er matematiker gått bet på i 80 år. Illustration av @mathandcobb.bsky.social
dn.se
AI:s senaste genombrott skrämmer matematiker
AI har löst ett problem som formulerades 1946 av den ungerske matematikern Paul Erdős, och som världens matematiker gåt bet på sedan dess.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026
This is beyond our current understanding of numbers.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026
There you go! youtube.com/shorts/y4mYK...
youtube.com
Why is Abstract Algebra interesting? #math #algebra #abstractalgebra #rubikscube
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026
Requests are always welcome! 😁
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Tien Chih @tienchihmath.bsky.social · 14/04/2026
Great short video by @mathandcobb.bsky.social on the applicability of Group Theory! youtu.be/n_w_J48oAwU
youtu.be
The many, MANY, applications of group theory
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026
Thanks for sharing! 🙏🏻
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/04/2026
For more information on my mini-grant, the MaC Fund for ME, and how to apply, see my blog post! Updated “MaC Fund”: The MathAndCobb Fund for Mathematical Exploration – A Field Guide to Mathematics share.google/qyjrbXBXLdA2...
share.google
Updated “MaC Fund”: The MathAndCobb Fund for Mathematical Exploration
I have decided to upgrade the scope of the MathAndCobb Fund. As I explained in my previous post, my content generates “content creator funds” and I decided to give back to the math comm…
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/04/2026
The April 2026 award ($250) of the MathAndCobb Fund for Mathematical Exploration goes to the AWM Chapter at the University of Albany. Congrats! youtube.com/shorts/ppu_6...
youtube.com
The April 2026 award ($250) of the MathAndCobb Fund for ME goes to the AWM Chapter at U Albany #math
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026
Can't have it all
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026
I'm ready to throw the towel and admit zero is a natural number... In fact the Peano axioms imply ZERO IS THE UNIQUE natural number. Here is the proof: youtu.be/IgwYNMJuwKY
youtu.be
Zero is the UNIQUE natural number
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026
Here, this is just for YOU to look at and enjoy 💕
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026
The apparent size of the moon in the sky just happens to approximately match the apparent size of the Sun, making total eclipses possible, and magical looking.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 29/03/2026
Will mathematicians be replaced by AI/LLM's? ... I don't think so. And all I can see right now is a bright future for math and mathematicians, and great progress powered by LLM assistants and automatic verification. youtube.com/shorts/ELFcU...
youtube.com
Will mathematicians be replaced by AI? By LLM's? Who knows what the future has in store for math...
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 26/03/2026
youtube.com/shorts/c1DbX...
youtube.com
🚨 BREAKING NEWS 🚨 IN AI AND MATHEMATICS! An AI/LLM has solved one of the FrontierMath problems!
YouTube video by Alvaro Lozano-Robledo
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Reposted by Álvaro Lozano-Robledo
Rochelle @uberwensch.bsky.social · 22/03/2026
time for the #MathCoffeeSelfie i desperately must know what you have been up to
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
:)))
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
Do you mean PROMYS 😅
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
Thank you!
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
This event is co-organized by Jennifer Balakrishnan (BU), Rebecca Bellovin (UConn), Keith Conrad (UConn), Alvaro Lozano-Robledo (UConn) and Christelle Vincent (UVM). Please apply and share particularly with students and early career researchers!
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
And a research conference that runs from June 5-7. List of speakers is in the site and more will appear as we get confirmation. Deadline to apply for funding is April 5th, and May 15th to attend. ctnt-summer.math.uconn.edu/conference-26/
ctnt-summer.math.uconn.edu
Conference | Connecticut Summer School in Number Theory
The CTNT 2026 Conference (June 5-7, 2026) will feature research talks on arithmetic geometry, number theory, and related topics. The goal is to bring togeth ...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
It consists of a summer school with 4 mini courses, that runs from June 1-June 5, aimed at advanced undergrads and beginning grad students. Deadline to apply is April 5th: ctnt-summer.math.uconn.edu/summer-schoo...
ctnt-summer.math.uconn.edu
Summer School | Connecticut Summer School in Number Theory
The CTNT 2026 Summer School will take place June 1 - June 7. All talks during the summer school will be at the Pharmacy/Biology Building (PBB 129 and 131), ...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
This event is funded by: * NSF: National Science Foundation * NSA: National Security Agency * NTF: Number Theory Foundation * JNT: Journal of Number Theory * MSRC: UConn's Mathematical Sciences Research Collaborative
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026
**Please share widely!** Announcing CTNT 2026: the Connecticut Summer School in Number Theory, and Research Conference! June 1-7, at UConn. Applications (for the summer school and/or conference) are now open thru our website: ctnt-summer.math.uconn.edu
ctnt-summer.math.uconn.edu
Home | Connecticut Summer School in Number Theory
Connecticut Summer School This is the website for CTNT, the Connecticut Summer School in Number Theory that will take place in-person during Monday, June 1s ...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/03/2026
🙏🏻
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/03/2026
Very excited, honored, and terrified to announce that I will be giving the 2027 AMS Einstein Lecture in Mathematics (Iowa City)! youtube.com/shorts/sfM1f...
youtube.com
I'm so excited and honored to give the 2027 AMS EINSTEIN LECTURE IN MATHEMATICS!!! See you in Iowa!
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/02/2026
More info and how to apply, here: afieldguidetomath.wordpress.com/2025/01/27/u...
afieldguidetomath.wordpress.com
Updated “MaC Fund”: The MathAndCobb Fund for Mathematical Exploration
I have decided to upgrade the scope of the MathAndCobb Fund. As I explained in my previous post, my content generates “content creator funds” and I decided to give back to the math comm…
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/02/2026
Please encourage people to apply for the MathAndCobb Fund for ME! youtube.com/shorts/5cVgy...
youtube.com
Do you need funds for a cool mathematical opportunity? Then please apply for the MathAndCobb Fund
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 25/02/2026
It was my pleasure to make this video and learn a bit more about Kenku!
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 25/02/2026
A mathematician you may have never heard of (unless you are an arithmetic geometer like me) wrote some of the most influential papers of my own math career! This is an homage to Prof. Monsur Kenku, in honor of Black History Month youtube.com/shorts/jRcVL...
youtube.com
An homage to Prof Monsur Kenku in honor of Black History Month #math #blackhistory
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/02/2026
Dimension one? 😍
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 03/02/2026
Let's play once again "SHOULD THAT REALLY BE NAMED AFTER NEWTON??" Today: "Newton's Cradle"... youtube.com/shorts/vswX-...
youtube.com
Should *that* be named after Newton?? Probably not. In this case, "Newton's cradle" #physics #newton
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 02/02/2026
You know what's really cool? Visualizing what's happening geometrically as we do row reduction operations on a linear system of equations! #math #linearalgebra #rowreduction youtube.com/shorts/wTYfM...
youtube.com
What happens geometrically when we are doing row reduction? #math #linearalgebra
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/02/2026
Aristotle used a theorem in geometry that characterizes spheres in order to give very strong evidence that the earth is spherical... some 2300 years ago! Let's see the proof of the theorem. #math #sphere #geometry #aristotle youtu.be/SpGXoYh-c5Y
youtu.be
Earth is a Sphere: Aristotle's Proof
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 31/01/2026
In this video we learn how to analyze a row reduced echelon form (RREF) to deduce properties about the solution set of a linear system youtube.com/shorts/XPtQ1...
youtube.com
In this video we learn how to analyze a row reduced echelon form (RREF) #math #linearalgebra
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/01/2026
Would Erdős hate that mathematicians are using AI/LLM's as assistants to find new proofs? I'm not sure sure! #math #ai #erdos youtube.com/shorts/0SXdv...
youtube.com
Would Erdős hate that mathematicians are using AI/LLM's to find new proofs? #math
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 24/01/2026
Now that Erdős and Erdős' problems are trending, it's time once again to show off my paper plate with his handwriting on it! Is this an Erdős problem? youtube.com/shorts/9aUrA...
youtube.com
It's time to show off again the favorite thing in my office, a used paper plate #math #ai #erdos
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 23/01/2026
This semester I'm teaching multivariable calculus and recording my lectures, plus adding other short/reel videos to clarify concepts or add examples. Hope this is useful to students! Here is the playlist of videos as they are uploaded. #math Multi-Variable Calculus: www.youtube.com/playlist?lis...
youtube.com
Multi-Variable Calculus - YouTube
This is a course on multi-variable calculus. It assumes single-variable calculus. The videos were recorded during a course on multivariable calculus that I t...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 20/01/2026
What is multivariable calculus all about? #math #calculus #multivariablecalculus youtu.be/IAKwooA9yvc?...
youtu.be
What is Multi-Variable Calculus all about?
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/01/2026
Why do we diagonalize matrices? #math #linearalgebra youtu.be/DgkTeTWkikI
youtu.be
Why do we diagonalize matrices?
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 16/01/2026
An example of matrix diagonalization #math #linearalgebra youtu.be/1LXnF92yE7I
youtu.be
An example of matrix diagonalization
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 15/01/2026
Are mathematicians "cooked", like the kids would say, because AI has found solutions to open problems in mathematics? I'm here to address the doom and gloom and tell you that Mathematicians are more relevant than ever! #math #ai youtube.com/shorts/LeFV0...
youtube.com
Are mathematicians "cooked" because AI has solved open problems in math? #math #ai
YouTube video by Alvaro Lozano-Robledo
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Reposted by Álvaro Lozano-Robledo
Barbara Fantechi @barbarafantechi.bsky.social · 14/01/2026
Hey @amermathsoc.bsky.social still convinced it's a good idea to have #ICM2026 in the USA?
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