a collection of personal notes on mathematics and physics
Volume 384 Issue 2320 | Philosophical Transactions of the Royal Society A | The Royal Society
Influential themed journal issues across the physical mathematical and engineering sciences.
Announcing the Advisory Group on Mathematics and Artificial Intelligence
[This is a guest post by the Advisory Group on Mathematics and Artificial Intelligence. This blog post was initially written in a different file format and converted using AI. — T.] We would …
Pauls Online Math Notes
Welcome to my math notes site. Contained in this site are the notes (free and downloadable) that I use to teach Algebra, Calculus (I, II and III) as well as Differential Equations at Lamar University. The notes contain the usual topics that are taught in those courses as well as a few extra topics that I decided to include just because I wanted to. There are also a set of practice problems, with full solutions, to all of the classes except Differential Equations. In addition there is also a selection of cheat sheets available for download.
Tony Feng on Twitter / X
I am a mathematician but I avoided commenting on this because the problems are (far) outside my domain. Even if I sat down to read the technical details (which I have not), it would be hard to appreciate the context of prior work, etc. But I've gotten enough sense of things… https://t.co/VZzosBYFto— Tony Feng (@tonylfeng) August 5, 2026
Terence Tao – Kepler, Newton, and the true nature of mathematical discovery
“And what those stories teach us about how AI will revolutionize math”
Exponential Economist Meets Finite Physicist | Do the Math
[An updated treatment of some of this material appears in Chapter 2 of the Energy and Human Ambitions on a Finite Planet (free) textbook, also mirrors a 2022 article in Nature Physics..]
Information: the Measure of All Things? Part I: Communication, Code and Computation - 3 Quarks Daily
by Yohan J. John
PhD/papers/Network Relativity/Network Relativity Theory.md at main · leo-guinan/PhD
Open notebook for my research in memetic economics - leo-guinan/PhD
Crowdsourcing a list of general resources on AI and mathematics
Given current events, I think it is worthwhile to start collecting useful online resources with regards to AI and mathematics in general. I will start a list below, but ask contributors to contribu…
We’re gonna need a lot more mathematicians
[This is a guest post by Amit Sahai. This blog post was initially written in a different file format and converted using AI. — T.] When I was an undergraduate student, I remember talking with…
Early science acceleration experiments with GPT-5
AI models like GPT-5 are an increasingly valuable tool for scientists, but many remain unaware of the capabilities of frontier AI. We present a collection of short case studies in which GPT-5 produced new, concrete steps in ongoing research across mathematics, physics, astronomy, computer science, biology, and materials science. In these examples, the authors highlight how AI accelerated their work, and where it fell short; where expert time was saved, and where human input was still key. We document the interactions of the human authors with GPT-5, as guiding examples of fruitful collaboration with AI. Of note, this paper includes four new results in mathematics (carefully verified by the human authors), underscoring how GPT-5 can help human mathematicians settle previously unsolved problems. These contributions are modest in scope but profound in implication, given the rate at which frontier AI is progressing.
Have you seen Carl Wieman work - amazon.com/dp/9815352199 (presentation here covers the key points - bpb-us-e1.wpmucdn.com/blogs.cornell.edu/dist/d/1022…)
How to Learn to Think like a Skilled Engineer or Scientist and How to Teach It
www.amazon.comModular research
continuous-foundation/modular-peer-review
The Trace and the Artifact | shishyko!
Curvenote® (@curvenote.com)
The new way we’ll do science
Zotero - InPeeR Ethi-quette (by Jay Patel) — Semble
Science: A New Golden Age