A Grad Student’s Side Project Proves a Prime Number Conjecture
Jared Duker Lichtman proved a long-standing conjecture relating prime numbers to a broad class of “primitive” sets. To his adviser, it was a “complete ..
Jared Duker Lichtman proved a long-standing conjecture relating prime numbers to a broad class of “primitive” sets. To his adviser, it was a “complete ..
More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. ..
A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of fractions. ..
To celebrate Pi Day, we look at applications—from NASA to cars—that prove you can have too much of a good thing. ..
The same phenomenon by which an opera singer can shatter a wineglass also underlies the very existence of subatomic particles. ..
Decades ago, a mathematician posed a warmup problem for difficult questions about prime numbers. It turned out to be just as difficult to solve—until ..
A surprising new solution to the famous “36 officers puzzle” offers a novel way of encoding quantum information. ..
A mathematical model shows how a thermodynamic mechanism could have made protocells split in two. ..
Through his encyclopedic study of the electron, an obscure figure named Stefano Laporta found a handle on the subatomic world’s fearsome complexity. ..
In nonreciprocal systems, “exceptional points” are helping researchers understand phase transitions and possibly other phenomena. ..