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Mathematics

Computer scientists have come up with a bounded algorithm that can fairly divide a cake among any number of people.
algorithm

How to Cut Cake Fairly and Finally Eat It Too

Computer scientists have come up with a bounded algorithm that can fairly divide a cake among any number of people.

The latest effort to overhaul math and science education offers a fundamental rethinking of the basic structure of knowledge. But will it be given time to work?
Pencils Down: Experiments in Education

Meet the New Math, Unlike the Old Math

The latest effort to overhaul math and science education offers a fundamental rethinking of the basic structure of knowledge. But will it be given time to work?

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.
Quantized Columns

Using Mathematics to Repair a Masterpiece

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.

The physicist-mathematician Miranda Cheng is working to harness a mysterious connection between string theory, algebra and number theory.
Q&A

Moonshine Master Toys With String Theory

The physicist-mathematician Miranda Cheng is working to harness a mysterious connection between string theory, algebra and number theory.

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.
geometry

A Unified Theory of Randomness

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.

Scientists are exploring a mysterious pattern, found in birds’ eyes, boxes of marbles and other surprising places, that is neither regular nor random.
universality

A Bird’s-Eye View of Nature’s Hidden Order

Scientists are exploring a mysterious pattern, found in birds’ eyes, boxes of marbles and other surprising places, that is neither regular nor random.

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.
profile

The Oracle of Arithmetic

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.
combinatorics

Simple Set Game Proof Stuns Mathematicians

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.

A surprising new proof is helping to connect the mathematics of infinity to the physical world.
foundations of mathematics

Mathematicians Bridge Finite-Infinite Divide

A surprising new proof is helping to connect the mathematics of infinity to the physical world.