Leila Sloman

For decades, mathematicians have been inching forward on a problem about which sets contain evenly spaced patterns of three numbers. Last month, two computer scientists blew past all of those results.

In a recent paper, two mathematicians showed that a particular pattern is unavoidable when fractions are categorized.

Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.

A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.

Mathematicians are taking ideas developed to study random numbers and applying them to a broad range of categories.

Mathematicians are finding inevitable structures in sufficiently large sets of integers.

Lattice cryptography promises to protect secrets from the attacks of far-future quantum computers.

Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.

Two mathematicians have proven Patterson’s conjecture, which was designed to explain a strange pattern in sums involving prime numbers.