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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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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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stankewicz.bsky.social @stankewicz.bsky.social · 24/07/2026
@mathandcobb.bsky.social
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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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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
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The many, MANY, applications of group theory
YouTube video by Alvaro Lozano-Robledo
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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...
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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
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
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...
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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...
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🚨 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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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
**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
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...
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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
Please encourage people to apply for the MathAndCobb Fund for ME! youtube.com/shorts/5cVgy...
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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
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...
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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 · 03/02/2026
Let's play once again "SHOULD THAT REALLY BE NAMED AFTER NEWTON??" Today: "Newton's Cradle"... youtube.com/shorts/vswX-...
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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...
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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...
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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...
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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...
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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...
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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
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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...
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Are mathematicians "cooked" because AI has solved open problems in math? #math #ai
YouTube video by Alvaro Lozano-Robledo
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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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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/01/2026
Mathematics education research is mathematics research. It's just one of the areas of study within math #math #research #mathed youtube.com/shorts/XmSjZ...
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Mathematics education research is mathematics research. It's just one of the areas of study in math
YouTube video by Alvaro Lozano-Robledo
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Johanna Franklin @johannamath.bsky.social · 13/01/2026
We are so excited this is happening! Ask me any questions, #TCSSky #MathSky! Also, we are looking for a couple more project leaders, so if you want to know more about what that involves, please get in touch.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 13/01/2026
🚨🚨 BREAKING NEWS🚨🚨 in AI and MATH! AI has solved 3 open problems more or less autonomously... is this a big deal? Is this a HUGE deal? Let's see what happened and decide #math #ai youtu.be/5GkiLtnlcoY
youtu.be
🚨 BREAKING NEWS 🚨 : AI has solved three Erdős problems
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 11/01/2026
LOVE this comment! Watch until the end for some ideas on how to prepare for Calculus 3 (and also for an unexpected visitor) youtube.com/shorts/8WtWH...
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LOVE this comment! Watch until the end for some ideas on how to prepare for Calculus 3 #math #calc3
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 10/01/2026
Teaching a large lecture of Calculus 3, multivariable calculus is daunting but also really exciting! The material of Calc 3 is really cool so can't wait. #math #calculus #multivariablecalculus youtube.com/shorts/PEZF_...
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Teaching a large lecture of Calculus 3, multivariable calculus is daunting but also really exciting!
YouTube video by Alvaro Lozano-Robledo
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American Mathematical Society @amermathsoc.bsky.social · 09/01/2026
Applications for the AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution Faculty are now open. Learn more and apply today: www.ams.org/grants-awards/ams-simon…
Graphic announcing AMS-Simons research enhancement grants awarded to PUI faculty with molecular network design on blue background.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 09/01/2026
Let's learn how to row reduce matrices because it's a FUNDAMENTAL skill to do well in an intro to linear algebra class! On top of that, let's also figure out how to compute the null space of a 3x3 matrix #math #linearalgebra youtube.com/shorts/4WVBL...
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Let's learn how to row reduce matrices because it's a FUNDAMENTAL skill in linear algebra! #math
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 08/01/2026
What is a kernel? What is a null space? How are the two related? How do you compute them? Very important questions in linear algebra! So let's go thru the definitions and examples #math #linearalgebra #kernel #nullspace #rowreductionmethod youtu.be/njjWbGjmJ3g
youtu.be
What is... a kernel? What is... a null space?
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 07/01/2026
When was Calculus invented? Or was it discovered? Who invented it? Or were there multiple discoveries throughout history? The answer is a lot more complicated than "Leibniz" or "Newton" #math #calculus youtube.com/shorts/OiseB...
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When was Calculus invented? Or was it discovered? Who invented it? #math #calculus #newton #leibniz
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 06/01/2026
Can high school students find research level math problems to work on? #math #research #highschoolmath youtu.be/3q_JeKg9rg0
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Math research as a high school student?
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 06/01/2026
It was Newton's birthday recently... so let's *remove* Newton's name from the "Newton's method" which, in fact, should be called the Viete-Raphson-Simpson method instead! #math #newton #newtonsmethod youtu.be/x7plcVWcGbI
youtu.be
"Newton's method" should be called the Viete-Raphson-Simpson method
YouTube video by Alvaro Lozano-Robledo
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benjamin dickman @benjamindickman.bsky.social · 21/12/2025
back in my 2^n - 2*n era for the first time since n=10
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 26/12/2025
2026 = 2^11 -2*11
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Prof Christelle Vincent @xl772.bsky.social · 15/12/2025
This is the @mathandcobb.bsky.social way and I admire him for it. I even made a TikTok account to follow him there. I wish I was even one tenth as good as he is at making videos (or even one tenth as good at writing posts as he is at making videos, honestly that would already be cool).
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code4math Community @code4math.org · 08/11/2025
Mathematicians discount the power of social media tech to communicate our work at our own peril. 😮 Looking forward to seeing @mathandcobb.bsky.social share about Math in the Age of Social Media this Monday at 3pm Eastern! Join the conversation on our Zulip! code4math.zulipchat.com#narrow/chann...
code4math.zulipchat.com
Public view of code4math | Zulip team chat
Browse the publicly accessible channels in code4math without logging in.
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Steven Clontz @clontz.org · 06/11/2025
Tell your friends! Warn your enemies! @mathandcobb.bsky.social will be sharing his take on Math in the Age of Social Media on Monday at the next @code4math.org Convening! Join the conversation on our Zulip: code4math.zulipchat.com#narrow/chann...
code4math.zulipchat.com
Public view of code4math | Zulip team chat
Browse the publicly accessible channels in code4math without logging in.
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 24/10/2025
Hashtag proud dad things
Text chat between me and my daughter, she says guess what, I say monkey butt, then she says she got 100 in a math quiz, and I reply with a GIF of Robert Redford nodding in approval
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code4math Community @code4math.org · 21/10/2025
Save the date! @mathandcobb.bsky.social will share with our community his take on "Math in the Age of Social Media" during our November 2025 Zoom convening held on November 10 at 3pm Eastern: scholarlattice.org/events/b332b...
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 13/10/2025
The deleted scenes from "The Crown" are wild. youtube.com/shorts/_IPSo...
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"Don't bring Euler into this!" #math #euler #numbertheory #analysis
YouTube video by Alvaro Lozano-Robledo
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 10/10/2025
It cracks me up that if I go to my Google authenticator app, I have codes for TikTok, Fortnite, and NSF, among others.
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ꭓle Ormsby 𓆙 @e-infinity.space · 28/09/2025
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?
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Álvaro Lozano-Robledo @mathandcobb.bsky.social · 25/09/2025
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?
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