What's up in

# Mathematics

## Latest Articles

### Mathematicians Identify the Best Versions of Iconic Shapes

Researchers are discovering the shortest knots and fattest Möbius strips, among other “optimal shapes.”

### The ‘Accidental Activist’ Who Changed the Face of Mathematics

Throughout her 60-year career, Lenore Blum has developed new perspectives on logic and computation while championing women in mathematics and computer science. Now consciousness is on her mind.

### The Year in Math

Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.

### A Close-Up View Reveals the ‘Melting’ Point of an Infinite Graph

Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure.

### A Triplet Tree Forms One of the Most Beautiful Structures in Math

The Markov numbers reveal the secrets of irrational numbers and the patterns of the Fibonacci sequence. But there’s one question about them that has resisted proof for over a century.

### ‘A-Team’ of Math Proves a Critical Link Between Addition and Sets

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.”

### An Easy-Sounding Problem Yields Numbers Too Big for Our Universe

Researchers prove that navigating certain systems of vectors is among the most complex computational problems.

### A Century Later, New Math Smooths Out General Relativity

Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.

### Pierre de Fermat’s Link to a High School Student’s Prime Math Proof

How Fermat’s less famous “little theorem” got mathematicians young and old to play with prime-like Carmichael numbers.