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 ...

The COLA method can help identify whether you're operating on speculation, belief, evidence, or principle—and respond accordingly.

After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.” The conjecture describes the set ...

When the mathematicians Jeff Kahn and Gil Kalai first posed their “expectation threshold” conjecture in 2006, they didn’t believe it themselves. Their claim — a broad assertion about mathematical ...

Arithmetic geometry is a vibrant field at the intersection of number theory and algebraic geometry, focussing on the study of polynomial equations and the distribution of their rational solutions.

A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...

Proceedings of the American Mathematical Society, Vol. 144, No. 5 (May 2016), pp. 1931-1938 (8 pages) Abstract. We show that the Vojta (or Hall-Lang) conjecture implies that the arboreal Galois ...