Álvaro Lozano-Robledo @mathandcobb.bsky.social · 31/08/2026I'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... 040
Reposted by Álvaro Lozano-Robledomgualt.bsky.social @mgualt.bsky.social · 25/08/2026A 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.eduMathematics and the LLM: 2026 – Coordinate Change 75618
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026Here I found it: mathoverflow.net/a/50868mathoverflow.netWhat 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... 020
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026I think they revealed themselves: Levent Alpoge and Ava Howell. 020
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 21/08/2026There is a MO thread about that and Silverman did plot it 120
Reposted by Álvaro Lozano-RobledoProf Christelle Vincent @xl772.bsky.social · 21/08/2026Exciting 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 🤩 #mathYouTube video by Alvaro Lozano-Robledo 4133
Reposted by Álvaro Lozano-Robledostankewicz.bsky.social @stankewicz.bsky.social · 24/07/2026@mathandcobb.bsky.social 111
Reposted by Álvaro Lozano-RobledoMaria Gunther @mariagunther.bsky.social · 30/05/2026www.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.socialdn.seAI:s senaste genombrott skrämmer matematikerAI har löst ett problem som formulerades 1946 av den ungerske matematikern Paul Erdős, och som världens matematiker gåt bet på sedan dess. 161
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026This is beyond our current understanding of numbers. 140
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 14/04/2026There you go! youtube.com/shorts/y4mYK...youtube.comWhy is Abstract Algebra interesting? #math #algebra #abstractalgebra #rubikscubeYouTube video by Alvaro Lozano-Robledo 010
Reposted by Álvaro Lozano-RobledoTien Chih @tienchihmath.bsky.social · 14/04/2026Great short video by @mathandcobb.bsky.social on the applicability of Group Theory! youtu.be/n_w_J48oAwUyoutu.beThe many, MANY, applications of group theoryYouTube video by Alvaro Lozano-Robledo 2137
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/04/2026For 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.googleUpdated “MaC Fund”: The MathAndCobb Fund for Mathematical ExplorationI 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… 010
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/04/2026The 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.comThe April 2026 award ($250) of the MathAndCobb Fund for ME goes to the AWM Chapter at U Albany #mathYouTube video by Alvaro Lozano-Robledo 110
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026I'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/IgwYNMJuwKYyoutu.beZero is the UNIQUE natural numberYouTube video by Alvaro Lozano-Robledo 1112
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026Here, this is just for YOU to look at and enjoy 💕 030
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/04/2026The 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. 2294
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 29/03/2026Will 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.comWill mathematicians be replaced by AI? By LLM's? Who knows what the future has in store for math...YouTube video by Alvaro Lozano-Robledo 031
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 26/03/2026youtube.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 010
Reposted by Álvaro Lozano-RobledoRochelle @uberwensch.bsky.social · 22/03/2026time for the #MathCoffeeSelfie i desperately must know what you have been up to 16235
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026This 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! 010
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026And 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.eduConference | Connecticut Summer School in Number TheoryThe 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 ... 110
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026It 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.eduSummer School | Connecticut Summer School in Number TheoryThe 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), ... 110
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/03/2026This 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 110
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.eductnt-summer.math.uconn.eduHome | Connecticut Summer School in Number TheoryConnecticut 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 ... 187
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 05/03/2026Very 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.comI'm so excited and honored to give the 2027 AMS EINSTEIN LECTURE IN MATHEMATICS!!! See you in Iowa!YouTube video by Alvaro Lozano-Robledo 1200
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/02/2026More info and how to apply, here: afieldguidetomath.wordpress.com/2025/01/27/u...afieldguidetomath.wordpress.comUpdated “MaC Fund”: The MathAndCobb Fund for Mathematical ExplorationI 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… 030
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/02/2026Please encourage people to apply for the MathAndCobb Fund for ME! youtube.com/shorts/5cVgy...youtube.comDo you need funds for a cool mathematical opportunity? Then please apply for the MathAndCobb FundYouTube video by Alvaro Lozano-Robledo 155
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 25/02/2026It was my pleasure to make this video and learn a bit more about Kenku! 010
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 25/02/2026A 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.comAn homage to Prof Monsur Kenku in honor of Black History Month #math #blackhistoryYouTube video by Alvaro Lozano-Robledo 172
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 03/02/2026Let's play once again "SHOULD THAT REALLY BE NAMED AFTER NEWTON??" Today: "Newton's Cradle"... youtube.com/shorts/vswX-...youtube.comShould *that* be named after Newton?? Probably not. In this case, "Newton's cradle" #physics #newtonYouTube video by Alvaro Lozano-Robledo 020
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 02/02/2026You 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.comWhat happens geometrically when we are doing row reduction? #math #linearalgebraYouTube video by Alvaro Lozano-Robledo 2676
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 01/02/2026Aristotle 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-c5Yyoutu.beEarth is a Sphere: Aristotle's ProofYouTube video by Alvaro Lozano-Robledo 073
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 31/01/2026In 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.comIn this video we learn how to analyze a row reduced echelon form (RREF) #math #linearalgebraYouTube video by Alvaro Lozano-Robledo 021
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 27/01/2026Would 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.comWould Erdős hate that mathematicians are using AI/LLM's to find new proofs? #mathYouTube video by Alvaro Lozano-Robledo 020
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 24/01/2026Now 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.comIt's time to show off again the favorite thing in my office, a used paper plate #math #ai #erdosYouTube video by Alvaro Lozano-Robledo 040
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 23/01/2026This 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.comMulti-Variable Calculus - YouTubeThis 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... 0101
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 20/01/2026What is multivariable calculus all about? #math #calculus #multivariablecalculus youtu.be/IAKwooA9yvc?...youtu.beWhat is Multi-Variable Calculus all about?YouTube video by Alvaro Lozano-Robledo 030
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 17/01/2026Why do we diagonalize matrices? #math #linearalgebra youtu.be/DgkTeTWkikIyoutu.beWhy do we diagonalize matrices?YouTube video by Alvaro Lozano-Robledo 030
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 16/01/2026An example of matrix diagonalization #math #linearalgebra youtu.be/1LXnF92yE7Iyoutu.beAn example of matrix diagonalizationYouTube video by Alvaro Lozano-Robledo 020
Álvaro Lozano-Robledo @mathandcobb.bsky.social · 15/01/2026Are 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.comAre mathematicians "cooked" because AI has solved open problems in math? #math #aiYouTube video by Alvaro Lozano-Robledo 020
Reposted by Álvaro Lozano-RobledoBarbara Fantechi @barbarafantechi.bsky.social · 14/01/2026Hey @amermathsoc.bsky.social still convinced it's a good idea to have #ICM2026 in the USA? 2175