Álvaro Lozano-Robledo's Avatar

Álvaro Lozano-Robledo

@mathandcobb.bsky.social

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

1,024 Followers  |  176 Following  |  627 Posts  |  Joined: 31.07.2023  |  2.2729

Latest posts by mathandcobb.bsky.social on Bluesky

Team-Based Inquiry Learning - TBIL Resource Library Open Resources and Research supporting Active Learning in Mathematics

We have just published the 2025 edition of the Team-Based Inquiry Learning (TBIL) Resource Library. This includes activity books and exercise banks for Precalculus (new!), Calculus (1 & 2), and Linear Algebra.

tbil.org/library/

04.08.2025 17:53 — 👍 23    🔁 7    💬 3    📌 1

It sure is! 🤩

03.08.2025 00:41 — 👍 1    🔁 0    💬 0    📌 0
Sketching the graph of a hyperbolic paraboloid #math #calculus #multivariablecalculus #graph #stem
YouTube video by Alvaro Lozano-Robledo Sketching the graph of a hyperbolic paraboloid #math #calculus #multivariablecalculus #graph #stem

And here is the same video but on YouTube:

youtube.com/shorts/6D4wg...

03.08.2025 00:20 — 👍 6    🔁 1    💬 0    📌 0
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Here is a video about how to draw it (on FB):

www.facebook.com/share/r/16NT...

03.08.2025 00:20 — 👍 3    🔁 0    💬 1    📌 0
The graph of a hyperbolic paraboloid.

The graph of a hyperbolic paraboloid.

A sketch of the graph of a hyperbolic paraboloid 🤩 (z = x^2 - y^2)

03.08.2025 00:20 — 👍 64    🔁 11    💬 5    📌 3

It has been the honor of my life to serve as Commissioner of BLS alongside the many dedicated civil servants tasked with measuring a vast and dynamic economy. It is vital and important work and I thank them for their service to this nation.

02.08.2025 02:18 — 👍 22005    🔁 4427    💬 1201    📌 266

-The city in the sty.

31.07.2025 10:42 — 👍 2    🔁 0    💬 0    📌 0
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Description Please note that job descriptions are not exhaustive, and you may be asked to take on additional duties that align with the key responsibilities ment...

I am advertising for 4 post-docs to come to Imperial and formalize, in Lean, *statements* of theorems from recent issues of the top generalist pure mathematics journals.

www.imperial.ac.uk/jobs/search-...

Positions are for 2 years, start date 1st Oct this year. Deadline 15th August.

28.07.2025 12:10 — 👍 28    🔁 13    💬 2    📌 3
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Who's the better mathematician? Euler or Gauss? Only Kaia can decide:

www.facebook.com/share/r/15fK...

28.07.2025 17:14 — 👍 0    🔁 0    💬 0    📌 0

Yes, at first, and then I would go with my mom/parents shopping.

25.07.2025 16:38 — 👍 4    🔁 0    💬 1    📌 0
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Mathsci-comm Network The Mathsci-comm network brings together people who communicate, or have a stake in communicating, complex mathematics and data science to a variety of non-expert audiences.

Are you someone who communicates complex #mathematics to non-expert audiences? Then check out the Mathsci-comm network, which we've set up with support from the Newton Gateway and the Newton Institute in Cambridge mathsci-comm.maths.org

25.07.2025 15:39 — 👍 8    🔁 6    💬 2    📌 0

Hi! I am! :)

25.07.2025 16:36 — 👍 0    🔁 0    💬 0    📌 0

Yes I was, and no, definitely no.

25.07.2025 16:34 — 👍 2    🔁 0    💬 1    📌 0

The artichoke that COULD.

25.07.2025 16:24 — 👍 1    🔁 0    💬 0    📌 0
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HELP ME fund math! Tag your favorite brand in the comments and tell them that it would be an awesome idea to help fund a math program! For the good of STEM, for the progress of science and math, and f... TikTok video by Álvaro Lozano-Robledo

Here is crazy idea... Would private brands sponsor a math summer school? For some brands, it would be a marketing no brainer... for $60K you can earn the good will of the entire math community!? And help make progress in STEM in the USA??!

www.tiktok.com/@mathandcobb...

25.07.2025 15:36 — 👍 3    🔁 1    💬 0    📌 0

I am so sorry Christelle :(((

25.07.2025 15:34 — 👍 1    🔁 0    💬 0    📌 0

Congrats!!

25.07.2025 14:34 — 👍 0    🔁 0    💬 0    📌 0

I live in constant fear that they will make my coffee iced by mistake.

24.07.2025 14:31 — 👍 1    🔁 0    💬 1    📌 0

This is great. I would love to hear more strategies to get the word/cry out!

23.07.2025 18:23 — 👍 2    🔁 0    💬 0    📌 0
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Absolutely! Here at the University of Washington, our academic worker union is hosting a town hall with our congressperson next month to demand an end to cuts to NSF & NIH. Would be great to hear that folks at other schools are doing the same.

23.07.2025 17:01 — 👍 2    🔁 1    💬 0    📌 1
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Math Is Quietly in Crisis over NSF Funding Cuts A 72 percent reduction in federal funding is devastating to math research. The American Mathematical Society is offering $1 million in backstop grants—but it’s likely not enough

Here is the Scientific American piece:

Can U.S. Math Research Survive NSF Funding Cuts? | Scientific American www.scientificamerican.com/article/can-...

23.07.2025 16:47 — 👍 9    🔁 4    💬 0    📌 0
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Scientific American thinks mathematicians are being quiet about the devastating NSF funds to our field. We need to be LOUDER.

www.facebook.com/share/r/1J3Z...

23.07.2025 14:44 — 👍 18    🔁 3    💬 3    📌 0

I am hearing now that it is Sunday. I am hearing this just now for the first time. Please conduct yourself to the #MathCoffeeSelfie thread below.

20.07.2025 15:19 — 👍 27    🔁 4    💬 13    📌 1

What kind of questions do you have?

13.07.2025 03:18 — 👍 0    🔁 0    💬 0    📌 0

Age verification? 5 1/4 floppy disks.

11.07.2025 14:01 — 👍 2    🔁 0    💬 0    📌 1

"Topology is a dense forest of counterexamples. A usable map of the forest is a fine thing.

Paraphrased from Mary Ellen Rudin's review of Counterexamples in Topology"
@acidlich.bsky.social

11.07.2025 12:52 — 👍 5    🔁 2    💬 0    📌 0
Steven Clontz speaks about pi-Base at ICERM.

Steven Clontz speaks about pi-Base at ICERM.

I met @clontz.org and got to hear him speak about the very cool project pi-Base!

topology.pi-base.org

11.07.2025 11:44 — 👍 16    🔁 1    💬 1    📌 1
Southwest Center for Arithmetic Geometry: AWS 2023

If you know of advanced undergrads or junior grad students interested in number theory, please pass info about PAWS along to them and encourage them to participate!

swc-math.github.io/aws/2026/202...

24.06.2025 15:37 — 👍 6    🔁 2    💬 0    📌 0
Representations of two elliptic curves, y^2=x^3+x+1 mod5 & y^2=x^3+3 mod7 respectively. The first curve is represented as points on a swirly torus, with 3 pictures. The leftmost one is over F125 (the finite field of 125 elements), the middle is over F625, and rightmost is over F3125. As we move left from right each swirly torus becomes more dense with points, which makes sense given that our finite fields become larger as we move left to right. 
The second curve is represented as a kind of twisted torus with 3 bumps. As above we have first the curve over F343, then over F2041 and then finally over F16807. There is no ridging here so the points look more lattice like sitting on this surface as opposed to above. That being said the first curve points are similarly lattice like, but the ridging breaks it visually. From the same paper as the above post

Representations of two elliptic curves, y^2=x^3+x+1 mod5 & y^2=x^3+3 mod7 respectively. The first curve is represented as points on a swirly torus, with 3 pictures. The leftmost one is over F125 (the finite field of 125 elements), the middle is over F625, and rightmost is over F3125. As we move left from right each swirly torus becomes more dense with points, which makes sense given that our finite fields become larger as we move left to right. The second curve is represented as a kind of twisted torus with 3 bumps. As above we have first the curve over F343, then over F2041 and then finally over F16807. There is no ridging here so the points look more lattice like sitting on this surface as opposed to above. That being said the first curve points are similarly lattice like, but the ridging breaks it visually. From the same paper as the above post

Get in, we’re visualizing elliptic curves over finite fields

From here: elliptic-curves.art

19.06.2025 14:52 — 👍 38    🔁 6    💬 4    📌 0

I'm not speaking but I'll be there and @clontz.org talk was in my radar!

07.06.2025 23:01 — 👍 2    🔁 0    💬 1    📌 0

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