Some people are on an eternal quest to attain intellectual monkhood, and oftentimes I see them succeeding in their mission. I am deeply indebted to such lucid expositors; case in point, I named AMMOC in honor of Arnold and Marsden because their scientific works shaped my life.

New breakthrough quantum algorithm published in nature today: Our Willow chip has achieved the first-ever verifiable quantum advantage. Willow ran the algorithm - which we’ve named Quantum Echoes - 13,000x faster than the best classical algorithm on one of the world's fastest

Today, we’re announcing a major breakthrough that marks a significant step forward in the world of quantum computing. For the first time in history, our teams at Google Quantum AI demonstrated that a quantum computer can successfully run a verifiable algorithm, 13,000x faster than

Are you a computer scientist and don't know what an OTOC is, but want to understand the problem solved in the nature paper by Google Quantum AI? We wrote a 2-page note that explains the motivation and presents a simplified version of the problem for arbitrary input size.

When and how will quantum computing broadly benefit humanity? Despite exhilarating recent progress, we still don’t know. Here my friend Jens Eisert and I assess the current status and the challenges ahead. We are optimistic about the quantum future, but there’s a lot of work to

The hierarchy problem (finetuning) of the Standard Model of particle physics is often presented as the question 'why the weak scale is so much smaller than the Planck scale' But there is also a geometric interpretation that can be understood with little maths (but a lot of

Maryland's "Quantum Algorithms" lecture notes by Andrew Childs PDF: cs.umd.edu/~amchilds/qa/q…

"The most important book I studied at Winchester College was perhaps Joos's Theoretical Physics...it was mostly where I learned physics altogether. So it gave me, I think, a very good taste of what physics is about." - Freeman Dyson

The Clay Institute just dropped a couple of great lectures on Millennium Prize problems, amongst them, a great presentation on 'Yang Mills and the Mass Gap' by Field medalist Martin Hairer, 'P vs NP' by Avi Wigderson ++ 🔗👇👇👇👇👇

How dare you to be so amazing? I am constantly told books are not perfect, yet, I see an exception in this rule

Really love studying math as a hobby purely for my personal enjoyment. No one to rush me, no deadlines, no homework, no tests.. just pure math that I enjoy in my spare time 😎💪

my differential topology professor explaining what a riemannian metric is today: "the way you'd explain it to an elementary schooler is that a riemannian metric on M is a symmetric 2-tensor on the cotangent bundle"

“It is in this continuous effort to articulate the inarticulable, to define what is yet unclear, that the particular dynamics of mathematical work (and perhaps as well all creative intellectual work) is perhaps found.”

My favorite books to self study pure math!! When I was in undergrad, I spent a lot of time self-studying pure math. But I wasted a lot of time because I didn't have a roadmap. So here's a list of my favorite books, videos, and problem sets that you can use to self-study many

1/6 Cold 2D electron liquids in transverse magnetic fields so strong and fine-tuned that there are exactly an integer (generally: rational) number of flux quanta per electron exhibit a "topologically ordered" ground state where vortices are anyons. This is famous. But now...

Congratulations to the finalists of the XPRIZE Quantum Applications competition. These 7 teams demonstrate the potential to pioneer quantum algorithms that can outperform classical computers and solve real-world problems. goo.gle/4iQtk95

This sentence.

Professor Terence Tao analyzes how Erdős Problem 1026 was solved "through an interesting combination of existing literature, online collaboration, and AI tools." The conjecture was first proven in Lean using Harmonic's Aristotle. Further patterns discovered via

You can understand more about how learning works from Ravi Vakils page for PhD students than 90% of writing on this topic