The Mathematics of Secrets
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mathofsecrets.bsky.social
The Mathematics of Secrets
@mathofsecrets.bsky.social
Hi, I'm Josh Holden. I teach math, write books, and encrypt secret messages.
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Doing some profile editing --- this should really be a pinned post, not my bio!

In his book The Mathematics of Secrets, Joshua Holden takes readers on a tour of the mathematics behind cryptography—the science of sending secret messages.

mathofsecrets.com
The Mathematics of Secrets
https://wordpress.rose-hulman.edu/holden/the-mathematics-of-secrets/
mathofsecrets.com
Hot take: I hate to say it, but this is silly. Mathematicians have known for at least a century that you can replace imaginary numbers with 2x2 matrices of real numbers. Would the result be useful? Sounds like the answer is no. #quantumcomputing www.quantamagazine.org/physicists-t...
Physicists Take the Imaginary Numbers Out of Quantum Mechanics | Quanta Magazine
Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry.
www.quantamagazine.org
November 8, 2025 at 12:42 AM
Doing some profile editing --- this should really be a pinned post, not my bio!

In his book The Mathematics of Secrets, Joshua Holden takes readers on a tour of the mathematics behind cryptography—the science of sending secret messages.

mathofsecrets.com
The Mathematics of Secrets
https://wordpress.rose-hulman.edu/holden/the-mathematics-of-secrets/
mathofsecrets.com
October 11, 2025 at 8:44 PM
Reposted by The Mathematics of Secrets
An incredible proof from “When Least is Best” by Paul Nahin
March 12, 2025 at 9:47 PM
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How a modern radio works, told through mathematics, history, and selected puzzles.

Paul J. Nahin's The Mathematical Radio is now available in #paperback. Learn more: press.princeton.edu/books/paperb...

#Math #Mathematics #History
September 18, 2025 at 6:48 PM
Slight clickbaiting here --- #quantumcomputing with 300 *logical* qubits can do amazing things, but this machine only has 3000 *physical* qubits. Still potentially a big step forward! @apsphysics.bsky.social
phys.org/news/2025-09...
Phys.org - News and Articles on Science and Technology
Daily science news on research developments, technological breakthroughs and the latest scientific innovations
Phys.org
October 5, 2025 at 6:38 PM
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At a time when abortion rights are under attack, platforms with enormous resources—like Meta—have no excuse for silencing this important speech. We must push platforms to #StopCensoringAbortion. www.eff.org/pages/platf...
Platforms Have Failed Us on Abortion Content. Here's How They Can Fix
BY MOLLY BUCKLEY | October 1, 2025This is the eighth installment in a blog series documenting EFF's findings from the Stop Censoring Abortion campaign. You can read additional posts here. In our Stop
www.eff.org
October 5, 2025 at 6:00 PM
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Reposted by The Mathematics of Secrets
I covered this in almost 3 hours of yammering last night:

youtube.com/live/fwVLsOe...
October 3, 2025 at 2:19 PM
Oh, right, I said I'd post some good news. This article appears to have nothing to do with #cryptography, but down towards the bottom they talk about "clock arithmetic" --- that's the "wraparound" I introduce on page 3 of my book! @quantamagazine.bsky.social www.quantamagazine.org/new-math-rev...
New Math Revives Geometry’s Oldest Problems | Quanta Magazine
Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very beginning of mathematics.
www.quantamagazine.org
September 27, 2025 at 6:52 PM
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I’m flagging this nice book/paper on FHE schemes not necessarily because it’s correct and I endorse it, but because it looks pretty useful. arxiv.org/pdf/2503.05136
arxiv.org
September 22, 2025 at 7:21 PM
Wavefunction Collapse
xkcd.com
September 6, 2025 at 12:14 AM
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Via @david, new shape just dropped.

The authors claim to have proved that this polyhedron lacks Rupert's property. I haven't read the proof yet, but the claim itself doesn't seem outrageous.
August 27, 2025 at 5:15 PM
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A noperthedron container printed!

#mathart #mtbos #noperthedron #polyhedra
August 30, 2025 at 2:47 AM
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I am printing a noperthedron pencil holder :)

#mtbos #mathart #noperthedron
August 29, 2025 at 8:28 PM
I just finished a #cryptography paper on how to use a secret that you know to prove that you wrote a message. While we wait for it to be published, how about this warmup from @matthewdgreen.bsky.social --- lots of nice pictures! blog.cryptographyengineering.com/2014/11/27/z...
Zero Knowledge Proofs: An illustrated primer
One of the best things about modern cryptography is the beautiful terminology. You could start any number of punk bands (or Tumblrs) named after cryptography terms like ‘hard-core predicate&#…
blog.cryptographyengineering.com
August 24, 2025 at 4:34 PM
Lots of #cryptography researchers are looking for problems that are just harder than quantum computers can deal with. These folks want to look at *way* harder problems! (A good reminder that NP-complete is not as hard as it gets!) @quantamagazine.bsky.social www.quantamagazine.org/quantum-scie...
Quantum Scientists Have Built a New Math of Cryptography | Quanta Magazine
In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.
www.quantamagazine.org
August 7, 2025 at 7:26 PM
This is a little worrying, since the Fiat-Shamir transform is used in most of the signature proposals for post-quantum #cryptography! It doesn't seem like this new technique can break those, though, so hopefully we are safe for now. @quantamagazine.bsky.social www.quantamagazine.org/computer-sci...
Computer Scientists Figure Out How To Prove Lies | Quanta Magazine
An attack on a fundamental proof technique reveals a glaring security issue for blockchains and other digital encryption schemes.
www.quantamagazine.org
July 27, 2025 at 12:27 AM
This is potentially very exciting --- cost and reliability of quantum hardware are key factors in determining its use for #cryptography! @apsphysics.bsky.social physics.aps.org/articles/v18...
Quantum Dots For Reliable Quantum Key Distribution
The efficiency of a quantum cryptography scheme can be improved by replacing conventional attenuated lasers with single-photon quantum-dot sources.
physics.aps.org
July 1, 2025 at 3:53 PM