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...
Álvaro Lozano-Robledo
@mathandcobb.bsky.social
Professor of Mathematics, number theorist (arithmetic geometry), author, Hagoromo chalk ambassador, bonsai amateur. Views expressed are my own.
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-...
Mathematics and the LLM: 2026 – Coordinate Change
math.toronto.edu
Exciting news for team unbounded rank!! #MathSky h/t @mathandcobb.bsky.social youtube.com/shorts/Q8zLX...
🚨 BREAKING NEWS 🚨 An anonymous user has dropped an elliptic curve of rank at least 30 🤩 #math
YouTube video by Alvaro Lozano-Robledo
youtube.com
Institute for Computer-Aided Reasoning in Mathematics@icarmath.bsky.social · 4w agoNew record in arithmetic geometry: the first known elliptic curve with rank 30 was uploaded to ICARM's Elliptic Curve Rank Leaderboard, surpassing the rank-29 record set by Elkies & Klagsbrun in 2024. Details + discussion: icarm.io/news/new-rec...
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
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.
dn.se
Great short video by @mathandcobb.bsky.social on the applicability of Group Theory! youtu.be/n_w_J48oAwU
The many, MANY, applications of group theory
YouTube video by Alvaro Lozano-Robledo
youtu.be
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...
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
youtube.com
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
Zero is the UNIQUE natural number
YouTube video by Alvaro Lozano-Robledo
youtu.be
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.
Sarah Hörst@planetdr.bsky.social · 6mo agoTell me your favorite thing about the moon. It can be a science fact, a childhood memory, a dream you are still working toward…no rules, just the Moon
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...
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
youtube.com
time for the #MathCoffeeSelfie i desperately must know what you have been up to
**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
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 ...
ctnt-summer.math.uconn.edu
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...
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
youtube.com
Please encourage people to apply for the MathAndCobb Fund for ME! youtube.com/shorts/5cVgy...
Do you need funds for a cool mathematical opportunity? Then please apply for the MathAndCobb Fund
YouTube video by Alvaro Lozano-Robledo
youtube.com
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...
An homage to Prof Monsur Kenku in honor of Black History Month #math #blackhistory
YouTube video by Alvaro Lozano-Robledo
youtube.com
Let's play once again "SHOULD THAT REALLY BE NAMED AFTER NEWTON??" Today: "Newton's Cradle"... youtube.com/shorts/vswX-...
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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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...
What happens geometrically when we are doing row reduction? #math #linearalgebra
YouTube video by Alvaro Lozano-Robledo
youtube.com
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
Earth is a Sphere: Aristotle's Proof
YouTube video by Alvaro Lozano-Robledo
youtu.be
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...
In this video we learn how to analyze a row reduced echelon form (RREF) #math #linearalgebra
YouTube video by Alvaro Lozano-Robledo
youtube.com
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...
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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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...
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
youtube.com
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...
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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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...
Are mathematicians "cooked" because AI has solved open problems in math? #math #ai
YouTube video by Alvaro Lozano-Robledo
youtube.com
Hey @amermathsoc.bsky.social still convinced it's a good idea to have #ICM2026 in the USA?
Mathematics education research is mathematics research. It's just one of the areas of study within math #math #research #mathed youtube.com/shorts/XmSjZ...
Mathematics education research is mathematics research. It's just one of the areas of study in math
YouTube video by Alvaro Lozano-Robledo
youtube.com
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.
Women In Logic@womeninlogic.bsky.social · 8mo ago🚨WORKSHOP ANNOUNCEMENT: Call for applications🚨 Computability and Complexity by Gender Minorities (CoCoGEMS) August 3-7, 2026, Vienna, Austria Organizers: Ekaterina Fokina and @johannamath.bsky.social www.dmg.tuwien.ac.at/cocogems/