A Century Later, New Math Smooths Out General Relativity
Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.
The Astonishing Behavior of Recursive Sequences
Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians.
Cryptographers Solve Decades-Old Privacy Problem
Three researchers have found a long-sought way to pull information from large databases secretly, moving us closer to fully private internet searches.
The Quest to Quantify Quantumness
What makes a quantum computer more powerful than a classical computer? It’s a surprisingly subtle question that physicists are still grappling with, decades into the quantum age.
In the Milky Way’s Stars, a History of Violence
Our galaxy’s stars keep a record of its past. By reading those stories, astronomers are learning more about how the Milky Way came to be — and about the galaxy we live in today.
Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math
Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?
Why Mathematical Proof Is a Social Compact
Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach.
How Quantum Physicists Explained Earth’s Oscillating Weather Patterns
By treating Earth as a topological insulator — a state of quantum matter — physicists found a powerful explanation for the movements of the planet’s air and seas.
The Lawlessness of Large Numbers
Mathematicians can often figure out what happens as quantities grow infinitely large. What about when they are just a little big?
Mathematicians Discover Novel Way to Predict Structure in Graphs
Mathematicians probe the limits of randomness in new work estimating quantities called Ramsey numbers.