This mathoverflow response by Bill Thurston feels particularly salient in these times. Some choice quotes: “The product of mathematics is clarity and understanding. Not theorems, by themselves.” mathoverflow.net/questions/43...

What's a mathematician to do?

I have to apologize because this is not the normal sort of question for this site, but there have been times in the past where MO was remarkably helpful and kind to undergrads with similar types of

mathoverflow.net

Wow! Alfred Menezes just published this 182 page "A Gentle Introduction to Lattice-Based Cryptography" paper. I just skimmed through it, but it looks like an invaluable resource if you want to study lattices and how they're used in (PQ) Cryptography. eprint.iacr.org/2026/1098

A gentle introduction to lattice-based cryptography

We present the quantum-safe Kyber key encapsulation mechanism (ML-KEM) and the Dilithium signature scheme (ML-DSA). We also develop the mathematical background on lattices needed to understand why Kyb...

eprint.iacr.org

Other good resources are (in no particular order): - eprint.iacr.org/2015/939 - eprint.iacr.org/2023/032 - eprint.iacr.org/2024/1287

A Decade of Lattice Cryptography

\emph{Lattice-based cryptography} is the use of conjectured hard problems on point lattices in~$\R^{n}$ as the foundation for secure cryptographic systems. Attractive features of lattice cryptography...

eprint.iacr.org

Bernie bros came for me on Muskrat's platform when I quote tweeted this Calude ad saying, "at this point, Bernie’s job seems to be lobbying for Anthropic." So let me elaborate. Bernie has been repeating, almost verbatim, Dario Amodei's talking points, for a while now, even quote tweeting him.🧵

Senator Bernie Sanders@sanders.senate.gov · 5mo ago

I spoke to Anthropic’s AI agent Claude about AI collecting massive amounts of personal data and how that information is being used to violate our privacy rights. What an AI agent says about the dangers of AI is shocking and should wake us up. youtu.be/h3AtWdeu_G0?...

On the topic of online resources, worth spreading the word again about Ryan O'Donnell's "CS Theory Toolkit" course: "Covers a large number of the math/CS topics that you need to know for reading and doing research in Computer Science Theory" youtube.com/playlist?lis... @booleananalysis.bsky.social

Bit of a last-minute announcement: school on isogenies 9 - 13 Feb at Okinawa Institute of Science and Technology (OIST) groups.oist.jp/tsvp/event/s... Registration deadline is tomorrow (15 Jan).

Yury Polyanskiy gave an interesting set of lectures on quantization and tokenization in AI at the 2025 Princeton Machine Learning Summer School. Here are his lecture slides if you can read his handwriting: people.lids.mit.edu/yp/homepage/...

#IPAM (the institute for pure and applied mathematics) is facing a critical shortfall for operating expenses due to an unexpected suspension of NSF funding www.ipam.ucla.edu/news/nsf-fun... . Donations for emergency continuity of operations funding can be made at giving.ucla.edu/Campaign/Donat

Mary Wootters is a computer scientist at Stanford. She also created a kids book and a board game. On this week’s episode of "The Joy of Why," we discuss how playfulness can be an essential tool for scientific discovery. www.quantamagazine.org/how-can-math...

How Can Math Protect Our Data? | Quanta Magazine

Mary Wootters discusses how error-correcting codes work, and how they are essential for reliable communication and storage.

quantamagazine.org

Terry Tao has translated his "Analysis I" textbook into Lean! github.com/teorth/analy... Projects like this are tough to pull off, and need users to play through the levels and find and eliminate things which the formalization is making artificially hard. Fork the repo and give the exercises a try!

GitHub - teorth/analysis: A Lean companion to Analysis I

A Lean companion to Analysis I. Contribute to teorth/analysis development by creating an account on GitHub.

github.com