In this paper, we consider the strong instability of standing waves for the Hartree equation with a constant magnetic field.

A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...

A dude named Lenin assures us that his five year plan will be completed in 4 years and that progress is inevitable. Just tell me how many hundreds of thousands you ...

Making demographic comparisons across datasets and across time requires rigor and consistency in group definitions. Without this, one risks reporting change that is not real. Since some of our ...

David E. Dunning explores how mathematical notation is a social, world-building technology. It’s natural to think of math as being fundamentally abstract. Whether it’s invented or discovered, its ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

For many of us, mathematics was not a subject to love—it was a subject to pass so we could progress to the next academic stage. Through years of conversations with executives, educators, parents, and ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...