Ethnicities, Vol. 20, No. 2, Special Issue: Diversity in an Anti-immigration Era (April 2020), pp. 293-311 (19 pages) Originally proposed by John Rawls, the idea of reasoning from conjecture is ...

This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

Mathematics has its share of prodigies, but rarely does someone so young alter the shape of the field before even earning their first degree. At 17, Hannah Cairo, a homeschooled teenager, has ...

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown. Mountain climbing is a beloved metaphor for mathematical research.

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, ...