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I’m not really a category theory person, but really enjoyed these two recent talks by Emily Riehl and Clark Barwick: Could ∞-category theory be taught to undergraduates or to a computer? (youtube.com/watch?v=XgVUNJ…) The geometry of ∞-categories (youtube.com/watch?v=WeeLqS…)
Really enjoyed Bennett Chow’s talk on 'Visualizing Ricci Flow'. The subject is fascinating, especially Perelman’s work, but the next goals feel very hard with less motivation. The 11/8-conjecture mentioned here might be one motivating direction. youtube.com/watch?v=JLbjs2…
Today is Richard Borcherds’ birthday, not only a great mathematician and Fields Medal winner, but also a great teacher with probably the best YouTube channels on advanced mathematics: youtube.com/channel/UCIyDq…
Knot theory is a very special subject in math. Its basics are very pictorial & can be taught to almost anyone, while the field connects to some of the deepest areas of math/physics. There is an old but excellent and very accessible introduction on YouTube: youtube.com/playlist?list=…
“We analyzed Hitler’s DNA – and what we discovered made us gasp.” Shocking new article: historyextra.com/period/second-…
In quantum information theory, “magic” is a property of entangled qubits that makes their state difficult to simulate on a classical computer. “It’s an appalling word,” said the physicist Martin White. But after 20 years, there’s probably no changing it now.…
Professors who teach with passion tend to foster greater curiosity in students.
The Casimir Effect is a quantum phenomenon where two uncharged, parallel metal plates placed very close together in a vacuum attract each other. This happens due to quantum fluctuations in the vacuum, showing that even empty space has energy.
This is Laurent Simons. At just 15, he earned his PhD in quantum physics. He started school at 4, finished at 6, got a master’s at 12, and defended his thesis this week. Belgium’s “little Einstein” is one of the youngest PhDs ever. sciencealert.com/belgiums-littl…
All major neural networks, in one chart. v/The Asimov Institute
Renormalization is “arguably the single most important advance in theoretical physics in the past 50 years.” — David Tong, a theoretical physicist at the University of Cambridge quantamagazine.org/how-renormaliz…
“So much of physics comes down to understanding geometry. And often in surprising ways.” —Jonathan Sorce, a theoretical physicist at Princeton University quantamagazine.org/what-is-a-mani…
A mathematician friend told me that category theory explains why trivial things are trivial and I'm dead
What are you supposed to do with these little realisations/ideas that don't feel significant enough to be a paper, but nobody else seems to have written them down?
There is a new claim by Yifan Zhang arxiv.org/abs/2509.12341 that the method currently considered to be the *best* protection we have against Shor’s algorithm on future quantum computers, is vulnerable … #PQC #mathematics
A professor at the CMI decided to teach this course, only to realise that he could not handle the depth. Later he received SSB award. He switched to a book by Steve Smale. In 2019, I covered the first 60 pp of this for Dr. Manikandan (PhD HRI) & now a faculty at UofAllahabad.
Our best descriptions of nature, quantum mechanics and general relativity, are failing us. To dig into the deepest levels of reality, we’re going to need new physics. youtube.com/watch?v=RIqVnF…
That paper had such momentum can we really be sure where he was? 🤔
Werner Heisenberg wrote his groundbreaking 1925 paper on quantum mechanics while recovering from hay fever on the island of Helgoland. He was just 23 years old at the time.
Was asked for material on universal algebra from a computer science perspective, and i came up with the following suggestions; 'Universal Algebra and Applications in Theoretical Computer Science' by Denecke and Wismath and chapter 3 in 'Handbook of logic in computer science…
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