The gang talks about what AI getting Good At Math might mean for cryptography, and why public-key cryptography probably isn’t ending. David is on a mission to civilize and claims a crisis of empiricism. He also wrote a blog post about this. Everyone agrees Nadia deserves tokens.

“I mean, you could claim that anything's real if the only basis for believing in it is that nobody's proved it doesn't exist!”

Transcript: https://securitycryptographywhatever.com/2026/10/27/everybody-is-losing-their-minds-about-ai-math-and-crypto/

Chapters:

00:00 intro
05:19 rumors swirl
12:37 math etiquette
17:11 magical math machines
21:42 diffie-hellman
29:50 finite field
34:45 david aware
42:36 complexity theory
48:40 full disclosure

Links:

- David’s Blog: https://dadrian.io/blog/posts/everybody-is-losing-their-minds/
- Similar opinions from virgi: https://people.csail.mit.edu/virgi/thoughts.txt
- The OpenAI Math Drop: https://github.com/openai/math
- Scientific American on the OpenAI math drop: https://www.scientificamerican.com/article/openai-unleashes-hundreds-more-math-results-upon-a-field-already-in-shock/
- Derek Thompson on AI’s impact on math: https://www.derekthompson.org/p/i-know-why-the-mathematicians-weep
- Sophie Schmieg’s blog connecting elliptic curves and finite field DH: https://keymaterial.net/2025/05/23/there-is-no-diffie-hellman-but-elliptic-curve-diffie-hellman/
- Friend of the show Steve Weiss factored RSA-896 with spare Anthropic capacity: https://saweis.net/posts/rsa-896.html
- Alex Clemmer’s tweet about the shortcomings of complexity theory: https://x.com/hausdorff_space/status/2107916908616175701
- Ben Recht (Berkeley ECE) on the FFT improvements showing how complexity theory can be disconnected from real computers:: https://www.argmin.net/p/faster-fourier-transforms
- State of the art number field sieve implementation (CADO-NFS): https://cado-nfs.gitlabpages.inria.fr/
- Why 128-bits of symmetric security is enough for quantum resistance: https://words.filippo.io/128-bits/
- https://en.wikipedia.org/wiki/Nadia_Heninger
- https://cseweb.ucsd.edu/~nadiah/
- Matt Green’s Tokens to Humans estimator: https://bitsofwork.org/

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)

The robots are at it again, and this time they’re solving, and breaking(?), math and cryptography! Things have been happening in the lattice corner including new leapfrogging complexity results in the closest vector problem (CVP), AND a possible poly-time quantum attack against the dihedral coset problem (DCP) that made everyone freak out for about a week (UPDATE: looks like it’s busted: https://eprint.iacr.org/2026/1693). ALSO, there was an important distinguisher attack against Classic McEliece, which on its face doesn’t sound like a big deal, unless you’re familiar with the track record of efficient distinguishers in the history of code-based cryptography… 😱

To help us make sense of all this we are joined again by OG friend of the pod Chris Peikert! We had trouble with his audio but tried our best to fix it, apologies.

Transcript: https://securitycryptographywhatever.com/2026/08/26/ai-lattice-proofs-with-chris-peikert/

Links:
- https://openai.com/index/ten-advances-in-mathematics/
- https://cdn.openai.com/pdf/ten-proofs-oai.pdf
- https://x.com/ChrisPeikert/status/2083534770403750025
- https://bsky.app/profile/chrispeikert.bsky.social/post/3msp3boueis2z
- https://en.wikipedia.org/wiki/Boolean_satisfiability_problem
- https://knowyourmeme.com/memes/wordcel-shape-rotator-mathcel
- Chen 2024: https://eprint.iacr.org/2024/555
- https://eprint.iacr.org/2026/1630
- https://eprint.iacr.org/2026/1693
- CVP within n^(1/2-ɛ) - : https://eprint.iacr.org/2026/1655

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)

We invited Mark Schultz-Wu on the podcast to talk about the history of lattice cryptography. When lattices are explained in plain english, they are actually quite simple! I don't think any of us have ever seen Deirdre so happy. If you're watching the video version, there's a section that's 6.1 minutes long with no cuts and consists just of Deirdre vigorously agreeing with what Mark is saying while smiling. What a time to be alive.

Anyway, we are hosting another happy hour in Vegas between Black Hat and DEF CON! It's sponsored by Teleport! Thank you to Teleport, and dear readers, you should go check them out. Check out our socials or the podcast site to register.

Transcript: https://securitycryptographywhatever.com/2026/07/27/lattices-with-mark-schultz-wu/

Links:

• Mark's IETF Post https://mailarchive.ietf.org/arch/msg/tls/HznE1IcCjstEjhh4M1p59qX1JlQ/
• NTRU https://en.wikipedia.org/wiki/NTRU
• The original lattices are hard paper https://www.scirp.org/reference/referencespapers?referenceid=3401227
• The original LWE for cryptography paper https://arxiv.org/abs/2401.03703
• Entropic LWE https://eprint.iacr.org/2020/119
• Dilithium round 3 submission: https://pq-crystals.org/dilithium/data/dilithium-specification-round3.pdf
• Recent attacks on Classic McEliece: https://eprint.iacr.org/2024/1694
• Lectures on post-quantum cryptography from Alfred Menezes (an originator of elliptic curve cryptography) https://www.youtube.com/@cryptography101-alfred
• Falcon https://csrc.nist.gov/csrc/media/Presentations/2024/falcon/images-media/prest-falcon-pqc2024.pdf
• Regev: https://cims.nyu.edu/~regev/#research
• Tightness in Proofs: https://eprint.iacr.org/2016/360.pdf
  
  
  
  

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)

The dear leader has actually bleated out some not-dumb executive orders (EOs) to accelerate adoption of post-quantum crypto for the US government! This looks to be in response to a flurry of advancements in quantum computing and quantum attack algorithms a few months ago. We cram legalize into our eyeballs— plus, ECDSA.fail!

Watch on YouTube: https://www.youtube.com/watch?v=7ZwQpN_F6P8

Transcript: https://securitycryptographywhatever.com/2026/07/02/trumps-golden-post-quantum-eos

Links:

- The EO https://www.whitehouse.gov/presidential-actions/2026/06/securing-the-nation-against-advanced-cryptographic-attacks/
- CNSA2 https://media.defense.gov/2022/Sep/07/2003071836/-1/-1/0/CSI_CNSA_2.0_FAQ_.PDF
- https://media.defense.gov/2025/May/30/2003728741/-1/-1/0/CSA_CNSA_2.0_ALGORITHMS.PDF
- https://www.ecdsa.fail/
- https://blog.google/innovation-and-ai/technology/safety-security/cryptography-migration-timeline/
- https://blog.cloudflare.com/post-quantum-roadmap/
- https://blog.google/innovation-and-ai/technology/research/neutral-atom-quantum-computers/
- https://en.wikipedia.org/wiki/FedRAMP
- https://www.whitehouse.gov/presidential-actions/2026/06/ushering-in-the-next-frontier-of-quantum-innovation/
- https://blog.trailofbits.com/2026/04/17/we-beat-googles-zero-knowledge-proof-of-quantum-cryptanalysis/
- https://scottaaronson.blog/?p=9861

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)

We talk to Michał Zalewski (lcamtuf) about the vulnpocalypse and if we even need fuzzers anymore. This episode may be export controlled at a future date.

Watch on YouTube: https://www.youtube.com/watch?v=uI9CSgB4p9o

Transcript: https://securitycryptographywhatever.com/2026/06/14/facing-the-vulnpocalypse-with-lcamtuf

• https://github.com/google/afl
• https://www.reddit.com/r/claude/comments/1tqtenf/anthropic_said_today_that_mythos_is_coming_to_all/
• https://github.com/google/clusterfuzz
• https://en.wikipedia.org/wiki/Jevons_paradox
• https://en.wikipedia.org/wiki/XZ_Utils_backdoor
• https://en.wikipedia.org/wiki/Brighton_hotel_bombing
• https://curl.se/
• https://ftp.openbsd.org/pub/OpenBSD/patches/7.8/common/025_sack.patch.sig
• https://www.wired.com/story/last-pass-vulnerability-password-safe/
• https://nostarch.com/tangledweb
• https://nostarch.com/silence.htm
• https://nostarch.com/practical-doomsday
• https://nostarch.com/secret-life-of-circuits
• https://www.youtube.com/c/3blue1brown

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@dadrian)

Returning champion Nicholas Carlini comes back to talk about using Claude for vulnerability research, and the current vulnpocalypse. It's all very high-brow stuff, and the gang learns some bitter lessons.

Watch on YouTube: https://www.youtube.com/watch?v=_IDbFLu9Ug8

Transcript: https://securitycryptographywhatever.com/2026/03/25/ai-bug-finding/

Links:

- https://red.anthropic.com/2026/zero-days/
- https://unpromptedcon.org/
- Black-hat LLMs
- https://red.anthropic.com/2026/firefox/

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@davidcadrian)

Standardizing cryptography involves a lot of opinions. Luckily, the gamer presidents are on it. Come on, you all know the drill.

This is the last time I do this.

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@davidcadrian)

The Python cryptography module, pyca/cryptography, has mostly been a sane wrapper around a pile of C, so that users get performant cryptography on the many, many platforms Python targets. Therefore its maintainers, Alex Gaynor and Paul Kehrer, have become intimately familiar with OpenSSL. Recently, they declared that after many years of trying to make it work, they announced pyca/cryptography would be moving away from OpenSSL when supporting new functionality and exploring adding other backends instead. We invited them on to tell us about what has happened to OpenSSL, even after the investments and improvements following Heartbleed. No guests on this pod represent anyone besides themselves.

Watch on YouTube: https://www.youtube.com/watch?v=dEKBHI3rodY

Transcript: https://securitycryptographywhatever.com/2026/02/01/python-cryptography-breaks-up-with-openssl

Links:
- https://cryptography.io/en/latest/statements/state-of-openssl/
- Py Cryptography: https://cryptography.io
- https://archive.openssl-conference.org/2025/presentations/Alex_Gaynor_Paul_Kehrer_The_Python_Cryptographic_Authoritys_OpenSSL_Experience.pdf
- https://securitycryptographywhatever.com/2025/08/16/alex-gaynor/
- https://packages.gentoo.org/packages/media-libs/libsdl
- https://www.youtube.com/watch?v=RUIguklWwx0
- https://datatracker.ietf.org/doc/rfc9180/
- https://docs.openssl.org/3.3/man3/OSSL_PARAM/
- https://openssl.foundation/
- https://github.com/openssl/openssl/issues/17064
- https://www.feistyduck.com/newsletter/issue_132_openssl_performance_still_under_scrutiny
- https://github.com/topazproject/topaz
- https://github.com/actions/runner/issues/1069
- https://crystalhotsauce.com/
- https://openssl-library.org/news/vulnerabilities/#CVE-2025-15467
- https://en.wikipedia.org/wiki/Ship_of_Theseus
- https://boringssl.googlesource.com/boringssl/+/aa202db1d7091b88b80f0a58c630c5c1aefc817d
- https://www.ibm.com/products/open-sdk-for-rust-aix
- https://dadrian.io/blog/posts/corporate-support-xz/
- https://peps.python.org/
- https://cryptography.io/en/latest/hazmat/primitives/asymmetric/ed448/
- https://go.dev/blog/fips140
- https://dadrian.io/blog/posts/roll-your-own-crypto/

"Security Cryptography Whatever" is hosted by Deirdre Connolly (@durumcrustulum), Thomas Ptacek (@tqbf), and David Adrian (@davidcadrian)