Mathematics

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

Insights from the mathematical genius Srinivasa Ramanujan give us a number of ways to explore the infinite.

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

Hilbert’s Hotel, an incredibly thin triangle and an elliptical pool table help us test the concept of infinity in the physical world.

Peter Scholze is a favorite to win one of the highest honors in mathematics for his contributions in number theory and geometry.

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

Three puzzles test whether the concept of infinity has purchase in the physical world.

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.

Try these shortcuts for solving problems that seem to require a lengthy calculation.