When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

The problems in the library can mostly be categorized into seed problems, advanced problems, and target problems. Seed problems are simple to state and thus make for good starting points of ...

In his famous thought experiment, Wigner assigns an entangled state to the composite quantum system made up of Wigner's friend and her observed system. While the two of them have different accounts of ...

This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly ...

I’ve just started teaching an advanced undergraduate course on Fourier analysis — my first lecturing duty in my new job at Edinburgh. What I hadn’t realized until I started preparing was the ...

Edited by Joel E. Cohen, The Rockefeller University, New York, NY, and approved December 6, 2011 (received for review August 23, 2011) These results were found for finite-dimensional models. But the ...