Álvaro Lozano-Robledo's Avatar

Álvaro Lozano-Robledo

@mathandcobb

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

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31.07.2023
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Latest posts by Álvaro Lozano-Robledo @mathandcobb

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05.03.2026 14:40 👍 1 🔁 0 💬 0 📌 0
I'm so excited and honored to give the 2027 AMS EINSTEIN LECTURE IN MATHEMATICS!!! See you in Iowa!
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

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...

05.03.2026 14:23 👍 20 🔁 0 💬 1 📌 0
Preview
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…

More info and how to apply, here:

afieldguidetomath.wordpress.com/2025/01/27/u...

27.02.2026 13:46 👍 3 🔁 0 💬 0 📌 0
Do you need funds for a cool mathematical opportunity? Then please apply for the MathAndCobb Fund
Do you need funds for a cool mathematical opportunity? Then please apply for the MathAndCobb Fund YouTube video by Alvaro Lozano-Robledo

Please encourage people to apply for the MathAndCobb Fund for ME!

youtube.com/shorts/5cVgy...

27.02.2026 13:42 👍 5 🔁 5 💬 1 📌 0

It was my pleasure to make this video and learn a bit more about Kenku!

25.02.2026 13:32 👍 1 🔁 0 💬 0 📌 0
An homage to Prof Monsur Kenku in honor of Black History Month #math #blackhistory
An homage to Prof Monsur Kenku in honor of Black History Month #math #blackhistory YouTube video by Alvaro Lozano-Robledo

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...

25.02.2026 13:21 👍 7 🔁 2 💬 1 📌 0

Dimension one? 😍

21.02.2026 02:11 👍 2 🔁 0 💬 0 📌 0
Should *that* be named after Newton?? Probably not. In this case, "Newton's cradle" #physics #newton
Should *that* be named after Newton?? Probably not. In this case, "Newton's cradle" #physics #newton YouTube video by Alvaro Lozano-Robledo

Let's play once again "SHOULD THAT REALLY BE NAMED AFTER NEWTON??" Today: "Newton's Cradle"...

youtube.com/shorts/vswX-...

03.02.2026 13:22 👍 2 🔁 0 💬 0 📌 0
What happens geometrically when we are doing row reduction? #math #linearalgebra
What happens geometrically when we are doing row reduction? #math #linearalgebra YouTube video by Alvaro Lozano-Robledo

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...

02.02.2026 13:05 👍 68 🔁 6 💬 2 📌 0
Earth is a Sphere: Aristotle's Proof
Earth is a Sphere: Aristotle's Proof YouTube video by Alvaro Lozano-Robledo

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

01.02.2026 14:52 👍 7 🔁 3 💬 0 📌 0
In this video we learn how to analyze a row reduced echelon form (RREF) #math #linearalgebra
In this video we learn how to analyze a row reduced echelon form (RREF) #math #linearalgebra YouTube video by Alvaro Lozano-Robledo

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...

31.01.2026 21:50 👍 2 🔁 1 💬 0 📌 0
Would Erdős hate that mathematicians are using AI/LLM's to find new proofs? #math
Would Erdős hate that mathematicians are using AI/LLM's to find new proofs? #math YouTube video by Alvaro Lozano-Robledo

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...

27.01.2026 18:38 👍 2 🔁 0 💬 0 📌 1
It's time to show off again the favorite thing in my office, a used paper plate #math #ai #erdos
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

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...

24.01.2026 16:06 👍 4 🔁 0 💬 0 📌 0
Preview
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...

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...

23.01.2026 14:10 👍 11 🔁 1 💬 0 📌 0
What is Multi-Variable Calculus all about?
What is Multi-Variable Calculus all about? YouTube video by Alvaro Lozano-Robledo

What is multivariable calculus all about? #math #calculus #multivariablecalculus

youtu.be/IAKwooA9yvc?...

20.01.2026 01:33 👍 3 🔁 0 💬 0 📌 0
Why do we diagonalize matrices?
Why do we diagonalize matrices? YouTube video by Alvaro Lozano-Robledo

Why do we diagonalize matrices? #math #linearalgebra

youtu.be/DgkTeTWkikI

17.01.2026 13:23 👍 3 🔁 0 💬 0 📌 0
An example of matrix diagonalization
An example of matrix diagonalization YouTube video by Alvaro Lozano-Robledo

An example of matrix diagonalization #math #linearalgebra

youtu.be/1LXnF92yE7I

16.01.2026 13:04 👍 2 🔁 0 💬 0 📌 0
Are mathematicians "cooked" because AI has solved open problems in math? #math #ai
Are mathematicians "cooked" because AI has solved open problems in math? #math #ai YouTube video by Alvaro Lozano-Robledo

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...

15.01.2026 13:07 👍 2 🔁 0 💬 0 📌 0

Hey @amermathsoc.bsky.social still convinced it's a good idea to have #ICM2026 in the USA?

14.01.2026 15:50 👍 17 🔁 5 💬 2 📌 0
Mathematics education research is mathematics research. It's just one of the areas of study in math
Mathematics education research is mathematics research. It's just one of the areas of study in math YouTube video by Alvaro Lozano-Robledo

Mathematics education research is mathematics research. It's just one of the areas of study within math #math #research #mathed

youtube.com/shorts/XmSjZ...

14.01.2026 14:09 👍 6 🔁 0 💬 0 📌 0

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.

13.01.2026 15:16 👍 11 🔁 5 💬 0 📌 0
🚨 BREAKING NEWS 🚨 : AI has solved three Erdős problems
🚨 BREAKING NEWS 🚨 : AI has solved three Erdős problems YouTube video by Alvaro Lozano-Robledo

🚨🚨 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

13.01.2026 13:12 👍 2 🔁 1 💬 0 📌 0

Say more

13.01.2026 04:10 👍 1 🔁 0 💬 0 📌 0
LOVE this comment! Watch until the end for some ideas on how to prepare for Calculus 3 #math #calc3
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

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...

11.01.2026 13:28 👍 2 🔁 0 💬 0 📌 0

Not transitive, ironically.

11.01.2026 12:49 👍 7 🔁 0 💬 0 📌 0
Teaching a large lecture of Calculus 3, multivariable calculus is daunting but also really exciting!
Teaching a large lecture of Calculus 3, multivariable calculus is daunting but also really exciting! YouTube video by Alvaro Lozano-Robledo

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_...

10.01.2026 13:47 👍 3 🔁 0 💬 0 📌 0
Graphic announcing AMS-Simons research enhancement grants awarded to PUI faculty with molecular network design on blue background.

Graphic announcing AMS-Simons research enhancement grants awarded to PUI faculty with molecular network design on blue background.

Applications for the AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution Faculty are now open. Learn more and apply today: https://www.ams.org/grants-awards/ams-simons-pui-research

09.01.2026 14:00 👍 7 🔁 3 💬 0 📌 1
Let's learn how to row reduce matrices because it's a FUNDAMENTAL skill in linear algebra! #math
Let's learn how to row reduce matrices because it's a FUNDAMENTAL skill in linear algebra! #math YouTube video by Alvaro Lozano-Robledo

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...

09.01.2026 14:02 👍 5 🔁 1 💬 0 📌 0
What is... a kernel? What is... a null space?
What is... a kernel? What is... a null space? YouTube video by Alvaro Lozano-Robledo

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

08.01.2026 13:29 👍 2 🔁 0 💬 0 📌 1
When was Calculus invented? Or was it discovered? Who invented it? #math #calculus #newton #leibniz
When was Calculus invented? Or was it discovered? Who invented it? #math #calculus #newton #leibniz YouTube video by Alvaro Lozano-Robledo

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...

07.01.2026 14:44 👍 3 🔁 1 💬 0 📌 0