Surprise Computer Science Proof Stuns Mathematicians
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.
Coloring by Numbers Reveals Arithmetic Patterns in Fractions
In a recent paper, two mathematicians showed that a particular pattern is unavoidable when fractions are categorized.
Quantum Field Theory Pries Open Mathematical Puzzle
Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.
Mathematicians Eliminate Long-Standing Threat to Knot Conjecture
A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.
Probability and Number Theory Collide — in a Moment
Mathematicians are taking ideas developed to study random numbers and applying them to a broad range of categories.
From Systems in Motion, Infinite Patterns Appear
Mathematicians are finding inevitable structures in sufficiently large sets of integers.
How Cryptography’s Quantum-Safe Future Will Work
Lattice cryptography promises to protect secrets from the attacks of far-future quantum computers.
Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces
Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.
A Numerical Mystery From the 19th Century Finally Gets Solved
Two mathematicians have proven Patterson’s conjecture, which was designed to explain a strange pattern in sums involving prime numbers.